QUANTUM BIBLIOGRAPHY (Warren D. Smith Jan 1995. Thanks to Allan Schweitzer for help with this. Concentrates on measurement theory, quantum computation, and unusual interpretations I think may be relevant. I have not read the ones with "???" but have read most of the others.) Larry Abbott: The problem of the Cosmological constant, Scientific American 258,5 (1988) 106-113. (The mass density M of the vacuum is related to cosmo constant K by K/M = 8*pi*G/c^2, and K is 1/distance^2. 8*pi*G/c^2=1.87*10^{-26} in SI, so if use distance=10^{27} m, we get M < K*5.36*10^{25} = 5.36*10^{-29} Kg/m^3. If use distance = 100 A.U. = 1.5*10^{13} m, we get 2.4*10^{-1} Kg/m^3, except considering how precise astronomical observations of the planets are, we maybe should arbitrarily give this 10^4 times more juice, so M < 2.4*10^{-5} Kg/m^3. A better calculation would be that the mass of the vacuum in a ball the radius of neptune's orbit must be less than the mass of neptune. M * 4*pi*RN^3/3 < MN, leading to M<10^{-15} Kg/m^3.) Y.Aharaonov and D.Albert: Can we make sense out of the measurement process in relativistic quantum mechanics?, Phys Rev D24 (1981) 359-370 Y.Ahararonov and D.Bohm: Significance of electromagnetic potentials in the quantum theory, Phys.Rev. 115 (1959) 485-491. (effect named after them) David Albert: Quantum Mechanics and Experience, Harvard Univ. Press. 1992. QC39.A4 chemlib. David Z. Albert: Bohm's alternative to quantum mechanics, Scientific American (May 1994) 58-67 Andreas Albrecht: Investigating decoherence in a simple system, Phys. Rev. D 46 (1992) 5504-5520. Uninspiring numerical work. K. Albrecht: A new class of Schr\"odinger operators for quantized friction, Phys.Lett. B 56 (1975) 127-129. Vinay Ambegoakar, Ulrich Eckern, Gerd Sch\"on: Quantum dynamics of tunneling between superconductors, Phys. Rev. Lett. 48 (1982) 1745-1748 K.An, J.J. Childs, R.R.Dasari, M.S.Feld: Microlaser: a laser with one atom in an optical resonator, Phys.Rev.Lett. 73,25 (Dec 1994) 3375-3378. Technically very impressive, but says nothing quantitative about dissipative QM theories. P.W.Anderson: Absence of diffusion in certain random lattices, Phys. Rev. 109,5 (1958) 1492-1505. V.I. Arnold: Mathematical methods of classical mechanics, (2nd ed.) Springer 1989. Alain Aspect, Phillipe Grangier, G\'erard Roger: Experimental tests of realistic local theories via Bell's theorem, Phys. Rev. Letters 47,7 (Aug 1981) 460-463 Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A new violation of Bell's inequalities, Phys. Rev. Letters 49,2 (Jul 1982) 91-94 Alain Aspect, Jean Dalibard, G\'erard Roger: Experimental test of Bell's inequalities using time-varying analyzers, Phys. Rev. Letters 49,25 (Dec 1982) 1804-1807 D.D. Awschalom, D.P. DiVincenzo, J.F. Smyth: Macroscopic quantum effects in nanometer-scale magnets, Science 258 (Oct 1992) 414-421. N.L.Balazs & B.K.Jennings: Wigner's function and other distribution functions in mock phase spaces, Physics Reports 104,6 (1984) 347-391. John S. Bell: On the problem of hidden variables in quantum mechanics, Rev. Mod. Phys. 38 (1966) 447 (criticizes earlier ``proofs''; see also nearby articles by other authors in same issue); On the Einstein Podolsky Rosen paradox, Physics 1 (1964) 195-200 (derives inequality; latest greatest version of his inequality is Clauser et al below) J.S. Bell: Speakable and Unspeakable in Quantum Mechanics, Cambridge Univ. Press 1983 R. Bellman: Stability theory of differential equations, Dover 1969 V.E. Bene\vs: Exact finite dimensional filters for certain diffusions with nonlinear drift, Stochastics 5 (1981) 65-92. Rafael Benguria and Mark Kac: Quantum Langevin equation, Phys. Rev. Lett. 46,1 (Jan 1981) 1-4 Paul Benioff: Quantum mechanical models of discrete processes, J.Math'l. Phys. 22,3 (1981) 495-507. Paul Benioff: Quantum mechanical models of Turing machines that dissipate noenergy, Phys. Rev. Lett. 48,23 (1982) 1581-1585. C.H.Bennett: Logical reversibility of computation, IBM J. R&D 17 (1973) 525-532. C.H.Bennett: Notes on the history of reversible computation, IBM J. Res. & Devel. 32,1 (Jan 1988) C.H.Bennett: The thermodynamics of computation, a review, Int'l. J. Theor. Phys. 21 (1982) 905-940. C.H.Bennett: Quantum information and computation, Physics Today (Oct. 1995) 24-30 A. Bensoussan: Stochastic control of partially observable systems, Cambridge University Press 1992. M.V. Berry: Quantal phase factors accompanying adiabatic changes, Proc. Royal Soc. London A392 (1984) 45-57 Slow parameter changes in hamiltonian, eventually coming back to old hamiltonian, will cause a phase shift. Discussed in an appendix of Sakurai: Modern QM. Aharonov-Bohm effect may be regarded as an example of this. H.Bethe and R. Jackiw: Intermediate quantum mechanics, 2nd ed. Benjamin Cummings 1968. I. Bialnicki-Birula and Z. Bialnicki-Birula: Nonlinear effects in quantum electrodynamics, photon propagations and photon splitting in an external field, Phys.Rev. D2 (1970) 2341-2345. (Argue that there seems to be no prospect of ever observing photon splitting even in Gamma rays near neutron stars with B fields of $10^{12}$ Gauss. High Z nuclei not considered per se.) Iwo Bialnicki-Birula and Jerzy Mycielski: Nonlinear wave mechanics, Annals of Physics 100 (1976) 62-93 T.Bitter and D. Dubbers: A manifestation of Berry's topological phase in neutron spin rotation, Phys.Rev.Lett. 59,3 (1987) 251-254. Experimental confirmation of Berry phase. James D. Bjorken and Sidney D. Drell Relativistic quantum fields, McGraw-Hill 1965. James D. Bjorken and Sidney D. Drell Relativistic quantum mechanics, McGraw-Hill 1964. D. Bohm: A suggested interpretation of the quantum theory in terms of hidden variables, I: Phys. Rev. 85 (1952) 166-179, II: 180-193 D. Bohm: Quantum theory of the measurement process, chapter 22 in his {\it Quantum Theory}, Prentice Hall 1951. D. Bohm and Y. Aharonov: Discussion of experimental proof for the paradox of E, R, and P, Phys. Rev. 108 (1957) 1070-1076. (I don't understand this paper.) D.Bohm, R.Schiller, J.Tiomno: A classical interpretation of the Pauli equation, Nuovo Cimento Suppl (Ser 10) 1,1 (1953) 48-66, 67-91. A weird heuristic-hydrodynamic view of QM started by MAdelung is followed up here. The contortions needed are very unsatisfying, I must say. J.J. Bollinger, D.J. Heinzen, Wayne M. Itano, S.L. Gilbert, D.J. Wineland: Test of the linearity of quantum mechanics by rf spectroscopy of the ${}^9$Be${}^+$ ground state, Phys. Rev. Letters 63,10 (Sept 1989) 1031-1034 F.Bopp and R.Haag: \"Uber die m\"oglichkeit von spinmodellen, Z. Naturforschg. 5a??? (1950) 644-653. A.J.Bray and M.A.Moore, Influence of dissipation on quantum coherence, Phys. Rev. Lett. 49 (1982) 1546-1549 A. R. Calderbank and P. W. Shor, "Good quantum error-correcting codes exist" Phys. Rev. A, 54, pp. 1098--1105 (1996); quant-ph/9512032 A.O. Caldiera and A.J. Leggett: Influence of dissipation on quantum tunneling in macroscopic systems, Phys. Rev. Lett. 46,4 (1981) 211-214 A.O. Caldiera and A.J. Leggett: Influence of damping on quantum interference: an exactly soluble model, Phys. Rev. A 31,2 (Feb 1985) 1059-1066. A.O. Caldiera and A.J. Leggett: Path integral approach to quantum brownian motion Physica A 121 (1983) 587-616 and erratum later. A.O. Caldiera and A.J. Leggett: Quantum tunneling in a dissipative system, Annals of Phys. 149 (1983) 374-456. Erratum 153 (1984) 445. A.O. Caldiera and A.J. Leggett: Influence of dissipation on quantum tunneling in macroscopic systems, Phys. Rev. Letters 46,4 (26 Jan 1981) 211-214 Abstract: A quantum system which can tunnel, at T=0, out of a metastable state and whose interaction with its environment is adequately described in the classically accessible region by a phenomenological friction coefficient $\eta$ , is considered. By only assuming that the environment response is linear, it is found that dissipation multiplies the tunneling probability by the factor $\exp(-A \eta (\Delta q)^2 / \hbar )$, where $\Delta q$ is the 'distance under the barrier' and $A$ is a numerical factor which is generally of order unity. H.B. Callen and T.A. Welton: Irreversibility and Generalized Noise, Phys Rev 83 (1957) 34-40 and see also Phys Rev 87 (1952) 471-472. (On fluctuation dissipation theorem, quantum version. Very general.) H.B. Callen: The fluctuation-dissipation theorem and irreversible thermodynamics, 15-22 in D. TerHarr (ed): Fluctuations, Relaxation and resonance in magnetic systems (1962) H.B.G. Casimir: Proc. Konink. Ned. Akad. Wetenschap (ser. B) 51 (1948) 793-??; H.B.G. Casimir and D. Polder: The influence of retardation on the London - van der Waals forces, Phys Rev 73,4 (1948) 360-371 QED derivation of Casimir-Polder force. Two atoms that are far apart (more than $\approx 137$ Bohr radii) will attract according to an effective potential $U(r) = \frac{-23}{4 \pi} \frac{\hbar c}{r^7} \alpha_1 \alpha_2$ where $\alpha_j$ is the polarizability of atom $j$. (Closer than this, unretarded van der Waals potential only drops like $r^{-6}$.) Things far away are attracted to a conducting plate, effective potential $h c r^{-4}$ times a polarizability constant. (Closer: $r^{-3}$ dependence.) This measured by Sukenik et al, good agreement. Parallel plates are attracted to each other, the force is $\pi^2/240 \hbar c/a^4$ per unit area if $a$ is the separation between the plates. This is $.013/a^4$ dynes/cm${}^2$ if $a$ is measured in microns. This force was observed quantitatively by Sparnay 1958, see cite. Cattani, M.: Environment racemization: a two-level approach, Journal of Quantitative Spectroscopy and Radiative Transfer 46,6 (Dec 1991) 507-511. Abstract: A two-level quantum-mechanical approach is developed in order to explain how racemization depends on the interaction of the active molecule with the environment. Relevant physical parameters for the molecules and the optically-active sample are defined. The author's predictions are applied to (a) dilute gases and (b) dense gases, liquids or solids. Cattani, M.: Collisional racemization and weak neutral current, Journal of Quantitative Spectroscopy and Radiative Transfer 49,3 (March 1993) 325-326. Abstract: The author calculates in detail the collisional racemization rate for a dilute gas. The predictions can be used to investigate the action of weak forces in molecular systems. Cattani, M.: Racemization and weak interactions: a two-level approach, Journal of Quantitative Spectroscopy and Radiative Transfer 52,6 (Dec 1994) 831-834. Abstract: Assuming the active molecules as a two-level system, we investigate how the environment racemization depends on the effect of weak neutral currents. We analyse in detail racemization in dilute gases. Plasma Physics (PPL) QC451 .J67 Chemistry Lib. (SQ) 8275 .5035 Sudip Chakravarty: Quantum fluctuations in the tunneling between superconductors, Phys. Rev. Lett. 49 (1982) 681-684. S. Chakravarty and A.J. Leggett: Dynamics of the two-state system with ohmic dissipations, Phys. Rev. Lett. 52,1 (1984) 58-8. S. Chandrasekhar: Stochastic problems in physics and astronomy, Rev Mod. Phys. 15 (1943) 1-89. J.A.Cina and R.A.Harris: Superpositions of handed wave functions, Science 267 (Feb 1995) 832-833. Here it is proposed that you photoexcite a chiral molecule using a femtopulse, there is no barrier in the excited state... I am dubious. J.A.Cina and R.A. Harris: On the preparation and measurement of superpositions of chiral amplitudes, J.Chem.Phys. 100,4 (Feb 1994) 2531-2536. J. Clarke, A.N. Cleland, M.H. Devoret, D. Esteve, J.M. Martinis: Quantum mechanics of a dissipative variable: the phase difference of a Josephson junction, Science 239 (Feb 1988) 992-997. J.F. Clauser, Michael A. Horne, Abner Shimony, R.A. Holt: Proposed experiment to test local hidden variable theories, Phys. Rev. Letters 23,15 (Oct 1969) 880-884 P.Claverie and G. Jona-Lasinio: Instability of tunneling and the concept of molecular structure in quantum mechanics: the case of pyramidal molecules and the enantiomer problem, Phys.Rev. A 33 (1986) 2245-2253. A.N.Cleland, J.M. Martinis, J. Clarke: Measurement of the effect of moderate dissipation on macroscopic quantum tunneling, Phys.Rev. B 37,10 (April 1988) 5950-5953 R.Colella, A.W.Overhauser, S.A.Werner: Observation of Gravitationally induced quantum interference, Phys.Rev.Lett. 34,23 (1975) 1472-1474. Confirm that gravity in QM behaves like a scalar potential just as would be naively expected (U=mgh). See also Acta Cryst A31 (1975) S253, and 155 for a descritpion of their apparatus. Thaddeus George Dankel: Mechanics on manifolds and the incorporation of spin into Nelson's stochastic mechanics, Archive for Rational Mechanics and Analysis 37 (1970) 192-222. The idea is first to generalize Nelson's approach to work on an arbitary Riemannian manifold, and then to use $R^3 \times SO(3)$ to describe the classical state of a rigid, rigidly charged, spinning spherical shell with the classical Hamiltonian in a B and E field. We take the limit as the sphere radius gets small. Similarly to the Nelson picture where the value of energy could be anything at any time, but averaged over long times would only be an eigenenergy, the long time average of spin is always $\hbar/2$ in any direction. Dankel rederives the Pauli eqn. Mark Davidson: A generalization of the Fenyes-Nelson stochastic model of quantum mechanics, Lett. Math. Phys. 3 (1979) 271-277. See also 367-376. Instead of using $F=ma$, he uses $m a + m \frac{b}{8} ( D^+-D^- )^2 x$ where $b$ is a dimensionaless constant which is 0 if Nelson, but varies to get to give us other stuff. In part II, can even be a complex number. Strange and unnatural, but gives a continuum of theories between Bohm and Nelson. P. Debye: Interferenz von R\"ontgenstrahlen und W\"armbewegung, Ann. d. Phys. 43 (1914) 49. The "Debye-Waller factor" giving the effect of nonzero temperature (or zero point motion) upon X-ray diffraction from a crystal, first proposed here. H. Dekker: Classical and quantum mechanics of the damped harmonic oscillator, Physics Reports 80,1 (1981) 1-112. Rederives Kostin eqn. Any stationary solution of the undamped HO also solves Kostin's damped one. All solutions approach undamped energy eigenstates. Discusses other weird things (Bateman, Caldirola-Kanai) which disagree with the uncertainty principle. H. Dekker: Exactly solvable model of a particle interacting with a field, the origin of a quantum mechanical divergence, Phys. Rev. A 31 (1985) 1067-1076 M.H. Devoret, D. Esteve, J.M. Martinis, A. Cleland, J. Clarke: Resonant activation of a brownian particle out of a potential well, microwave enhanced escape from the zero voltage state of a Josephson junction, Phys. Rev. B 36,1 (July 1987) 58-73 B. De Witt and N. Graham (eds.): The many worlds interpretation of quantum mechanics Princeton Univ. Press 1973 P. A. M. Dirac: The principles of quantum mechanics, 4th ed, rev. Oxford, The Clarendon Press 1974, 1987. {\S}36: ``A measurement always causes a sytem to jump into an eigenstate of the dynamical variable that is being measured.'' P. A. M. Dirac: The Lagrangian in quantum mechanics, Physikalische Zeitschrift der Sowjetunion 3,1 (1933) 64-72. D. Dohrn and F. Guerra: Nelson's stochastic mechanics on Riemannian manifolds, Lettere al Nuovo Cimento 22 (1978) 121-127. Daniels Dohrn, Francesco Guerra, Patrizia Ruggiero: Spinning particles and relativistic particles in the framework of Nelson's stochastic mechanics, in: Feynman path integrals (ed. S. Albeverio), Springer Lecture notes in physics 106 (1979). L. Dolan and R. Jackiw: Symmetry behavior at finite temperature, Phys.Rev. D 9 (1974) 3320-3341. Also Weinberg 3357-3378. Estimates that when temeprature is more than 300 GeV, everything gets symmetric. J.L. Doob: Stochastic processes, Wiley NY 1953. F.J. Dyson: Divergence of perturbation theory in quantum electrodynamics, Phys.Rev. 85 (1952) 631-632 W. Ehrenberg and R.E. Siday: The refractive index in electron optics and the principles of dynamics, Proc. Physical Society (London) B 62 (1949) 8-21. Clear discovery of "Aharonov-Bohm" effect. A. Einstein, B. Podolsky, N. Rosen: Can quantum mechanical description of physical reality be considered complete, Phys. Rev. 47 (May 1935) 777-780 N. Bohr's reply, same title: Phys. Rev. 48 (Oct 1935) 696-702. A. Einstein: Zum Quantensatz von Sommerfeld und Epstein, Verh. Deutsche Phys. Ges. 19 (1917) 82-?? points out that old QM wont work if the classical orbits are nonperiodic D.Esteve, M.H. Devoret, J.M. Martinis: Effect of an arbitrary dissipative circuit on the quantum energy levels and tunneling of a Josephson junction, Phys.Rev. B 34,1 (July 1986) 158-163 (A theory paper) Benjamin Fain: Time dependence of optical activity of isomers in a crystal lattice, Phys.Lett. 89A, 9 (1982) 455-459 U. Fano: Description of states in quantum mechanics by density matrix and operator techniques, Rev. Mod. Phys. 29,1 (Jan 1957) 74-93. Imre Fenyes: Eine wahrscheinlichkeittheoretische Begr\"undung und Interpretation der Quantenmechanik, Zeitschrift f. Phys. 132 (1952) 81-106 R.P. Feynman and A.R. Hibbs: Quantum mechanics and path integrals, McGraw Hill 1965 R.P. Feynman: Space-time approach to nonrelativistic quantum mechanics, Rev. Mod. Phys. 20 (1948) 367-387 (321-341 in Schwinger reprint volume) R.P.Feynman: Quantum electrodynamics; a lecture note and reprint volume. Notes corr. by E.R. Huggins [and] H.T. Yura. 2nd print., with corrections by Peter Cziffra. W.A. Benjamin, 1962 R.P. Feynman and Frank Vernon: The theory of a general quantum system interacting with a linear dissipative system, Annals of Physics 24 (1963) 118-173 G.W. Ford, M. Kac, P. Mazur: Statistical mechanics of assemblies of coupled oscillators, J. Math. Phys. 6,4 (April 1965) 504-515 Reinhold F\"urth: \"Uber einige Beziehungen zwischen klassicher Statistik und Quantenmechanik, Zeitschrift f\"ur Physik 81 (1933) 143-162 R. G\"ahler, A.G. Klein, A. Zeilinger: Neutron optical tests of nonlinear wave mechanics, Phys. Rev. A 23,4 (April 1981) 1611-1617 G.W. Gibbons and S.W. Hawking: Action integrals and partition functions in quantum gravity, Physical Review D (Particles and Fields) 15,10 (1977) 2752-2756 A.S. Goldhaber and A.M. Nieto: Terrestial and extraterrestial limits on the photon mass, Rev.Mod.Phys. 43,3 (1971) 273-296. $m > 3.7 \times 10^{-66} / t$ grams, where $t$ is the age of the universe divided by $10^{10}$ years, as a consequence of the uncertainty principle. $m < 4 \times 10^{-48}$ grams from facts about Earth's magnetic field. Herbert Goldstein: Classical mechanics, Addison-Wesley Pub. Co., 1980. 2nd ed. B.Gomez et al. (ed.): Stochastic processes applied to physics and other related fields, World Scientific Singapore 1983. (Proceedings of the Escuela Latinoamericana de Fisica, 1982, Cali Colombia, June-July 1982.) J.P. Gordon: Hyperfine structure of the inversion spectrum of N${}^{14}$H${}_3$ by a new high resolution microwave spectrometer, Phys.Rev. 99,4 (1955) 1253-1263. part I of first maser paper. J.P. Gordon, H.J.Zeiger, C.H.Townes: The maser - new type of microwave amplifier, frequency standard, and spectrometer, Phys.Rev. 99,4 (1955) 1264-1274. part II of first maser paper. P. Goy, J.M. Raimond, M. Gross, S. Haroche: Observation of cavity enhanced single atom spontaneous emission, Phys. Rev. Letters 50,24 (1983) 1903-1906 Hermann Grabert and Ulrich Weiss: Crossover from thermal hopping to quantum tunneling, Phys. Rev. Lett. 53 (1984) 1787-1790. Brownian motion and dissipation and quantum tunneling D.M. Greenberger, M.A. Horne, A. Shimony, A. Zeilinger: Bell's Theorem without inequalities, Amer. J. Physics 58 (1990) 1131-1143. Francesco Guerra: Structural aspects of stochastic mechanics and stochastic field theory, Physics Reports 77,3 (1981) 263-312 F. Guerra and Laura M. Morato: Quantization of dynamical systems and stochastic control theory, Phys. Rev. D 27,8 (1983) 1774-1786 Uses L=m v+ v-/2 - U, derives Nelson picture from variation principles. Shows v=gradient follows from those principles. F. Guerra and Laura M. Morato: Quantization of dynamical systems and stochastic control theory, Phys. Rev. D 27,8 (1983) 1774-1786 M.C. Gutzwiller: Classical quantization of a Hamiltonian with ergodic behavior Physical Review Letters, 45,3 (July 1980) 150-153 Abstract: Conservative Hamiltonian systems with two degrees of freedom are discussed where a typical trajectory fills the whole surface of constant energy. The trace of the quantum mechanical Green's function is approximated by a sum over classical periodic orbits. This leads directly to Selberg's trace formula for the motion of a particle on a surface of constant negative curvature, and, when applied to the anisotropic Kepler problem, yields excellent results for all the energy levels. (12 Refs) Martin C. Gutzwiller: Periodic orbits and classical quantization conditions, J.Math.Phys. 12,3 (1971) 343-358 Abstract: The relation between the solutions of the time-dependent Schrodinger equation and the periodic orbits of the corresponding classical system is examined in the case where neither can be found by the separation of variables. If the quasiclassical approximation for the Green's function is integrated over the coordinates, a response function for the system is obtained which depends only on the energy and whose singularities give the approximate eigenvalues of the energy. This response function is written as a sum over all conjugate points, as well as an amplitude factor containing periodic orbits where each term has a phase factor containing the action integral and the number of conjugate points, as well as an amplitude factor containing the period and the stability exponent of the orbit. In terms of the approximate density of states per unit interval of energy, each stable periodic orbit is shown to yield a series of delta functions whose locations are given by a simple quantum condition. The action integral differs from an integer multiple of h by half the stability angle times h. Unstable periodic orbits give a rise series of broadened peaks whose half-widths equals the stability exponent times h, whereas the location of the maxima is given again by a simple quantum condition. M.C. Gutzwiller: Stochastic behavior in quantum scattering, Physica 7D (1983) 341-??? Fritz Haake and Daniel F. Walls: Overdamped and amplifying meters in the quantum theory of measurement, Phys. Rev. A 36,2 (July 1987) 730-739 Fritz Haake and Reinhard Reibold: Strong damping and low-temperature anomalies for the harmonic oscillator, Phys. Rev. A 32 (1985) 2462-2475 S. Han, J. Lapointe, J.E. Lukens: Observation of incoherent relaxation by tunneling in a macroscopic two state system, Phys.Rev.Lett. 66,6 (Feb 1991) 810-813. Peter H\"anggi, P. Talkner, M. Borkovec: Reaction rate theory 50 years after Kramers, Rev.Mod.Phys. 62,2 (1990) 251-??? Serge Harache and Daniel Kleppner: Cavity quantum electrodynamics, Physics Today (Jan 1989) 24-30. R.A.Harris, Y.M.Shi and J.A.Cina: On the measurement of superpositions of chiral amplitudes by polarized light scattering, J.Chem.Phys. 101,5 (Sep 1994) 3459-3463. R.A. Harris and L. Stodolsky: Quantum beats in optical activity and weak interactions, Phys.Lett. 78 B (1978) 313-317 R.A. Harris and L. Stodolsky: On the time dependence of optical activity, J.Chem.Phys. 74 (1981) 2145-2153 Rainer W. Hasse: On the quantum mechanical treatment of dissipative systems, J.Math.Phys. 16,10 (Oct 1975) 2005-2011. A nice survey of quite a few off the wall theories; finds and discusses solutions for harmonic oscillator, free fall, free particle, wavepacket etc. for each one. I am MISSING this!!! Rainer W. Hasse: Microscopic derivation of a friction Schr\"odinger equation, Physics Letters 85B, 2/3 (1979) 197-200. Gets something rather like what happens to Unruh-Zurek master eqn if you try to convert it back to Psi form, and ignore fact this is impossible since mixture. Many eqns are like that in Hasse 1975. P. Havas: The range of application of the Lagrange formalism, Nuovo Cimento Suppl. (Ser 10) 5,3 (1957) 363-388 A superb paper. P. Havas: The connection between conservation laws and invariance groups: folklore, fiction, and fact, Acta Physica Austraica 38 (1973) 145-167. Appendix B concerns extending the Lagrange formalism further by showing that any first order system with highest deriv "solvable algebraically" may be Lagranged. That is finally publishing one of the key claims in Havas 1956. P.Havas: Generalized Lagrange formalism and quantization rules, abstract of Talk N12, Bull.Amer.Phys.Soc. (ser. 2) 1 (1956) 337-338. Reads in full: ``It was shown recently (Havas 1957) that even if a set of equations $G_i = 0$ is not derivable from a variational principle, there might exist an equaivalent set $f_i G_i = 0$ derivable from ``integrating factors'' $f_i$ which is so derivable. The general problem of equivalent sets has been investigated. It was found that for any set $\dot{q}_i + g(q,t) = 0$ there always exist equivalent systems [via integrating factors and linear combinations] $\sum_k G_k f_{ik} ( q , t )$ which are the Euler-Lagrange equations of a variational principle. As any system of DEs is equivalent to a first order system, this implies that any system of nth order DEs which may be solved algebraically for the nth order derivatives is derivable from a Lagrangian. In particular this is the case for Newton's equations of motion with arbitrary velocity dependent forces. For a given set of equations many different Lagrangians exist; quantization by any of the available rules (often thought to be as general as the classical formalisms of Lagrange and Hamilton) is either impossible or ambiguous. Some implications will be discussed.'' D.J. Heinzen et al.: Enhanced and inhibited spontaneous emission by atoms in a confocal resonator, Phys.Rev.Lett. 58 (1987) 1320-1323. W. Heitler: The quantum theory of radiation, 3rd ed. Oxford U. Press 1966. E.J.Heller and S. Tomsovic: Postmodern quantum mechanics, Physics Today (July 1993) 38-46. Describes Gutzwiller's formula for expressing quantum eigenvalues as a sum over all periodic classical orbits. May contain false statements. H. von Helmholtz: Ueber die Physikalische Bedeutung des Princips der Kleinsten Wirkung, J. f\"ur die Reiner und Angew. Math. 100 (1887) 137-166. G.Herzberg: Ionization potentials and lamb shifts of the ground states of ${}^4$He and ${}^3$He, Proc. Royal Soc. (London) A248 (1958) 309-332. Thje analysis of Herzberg's data was later refined by M.J.Seaton: Quantum defect theory II, Proc. Physical Soc. 88 (1966) 815-832, who found for the ``weighted mean value of the series limit'' $198310.76 \pm .01$ cm${}^{-1}$ on p820. But p821 says $198310.76 \pm .06$ cm${}^{-1}$ and Herzberg gave $\pm .15$ cm${}^{-1}$. E.A. Hessels, P.W. Arcuni, F.J. Deck, S.R. Lundeen: Microwave spectroscopy of high-L $n=10$ states of helium, Phys.Rev. A 46,5 (Sept 1992) 2622-2641. Retardation QED Casimir type forces are confirmed at last by a high precision measurement and the numbers are accurate to better than 10\%. The bad news is, the measurements are claimed to be so accurate that statistically significant deviations from the prediction have been found... M.Hillery, R.F.O'Connell, M.O.Scully, E.P.Wigner: Distribution functions in physics: fundamentals, Physics Reprots 106,3 (1984) 121-167. E.A. Hinds: Cavity quantum electrodynamics, Adv. in atomic molecular and optical physics 28 (1991) 237-289 I've looked at the papers surveyed in here and Harache-Kleppner. I claim many do cavities and emission rates, and many find qualitative results (e.g. substantial enhancement of emmissions due to the Purcell effect) but NOT ONE of them, apparently, has ever confirmed quantitatively the Purcell 1946 formula $3Q \lambda^3 / (4 pi^2 V)$ -- wait Harache-Kleppner has it as just $Q \lambda^3 / V$ erroneously -- also the Purcell quote above seems bogus: Feynman-Vernon appIII gives $6 \pi \lambda^3 Q f^2 / V$ where $f$ is a ``form factor'' which ``is of the order of unity'' ``near the maximum field point in a cavity'' hence approximately agreeing with E.M.Purcell Phys.Rev. 69 (1946) 681 (1 paragraph summarizing a talk). More precisely, $f^2 = V a^2 / (4 \pi c^2)$ where $a$ is the magnitude of the vector potential of the cavity mode at the point where the atom is located, and the normalization is such that $\int a^2 = 4 \pi c^2$ where the integral is over the volume of the cavity. Thus $f^2$ would be exactly 1 if the atom were at a point of exactly the mean value of $a^2$. Since the mean value of $\cos^2 x$ is $1/2$ and the maximum value is $1$, the form factor would be $2$ for an atom at the maximum field point between plane parallel mirrors. For the emission enhancement ratio. Some guys never bother to measure Q. Other guys do but never measure the enhancement factor, no, they are concerned with far more esoteric stuff than that. J. Ihm, Alex Zunger, M.L. Cohen: Momentum-space formalism for the total energy of solids, J. Phys. C, Solid state phys 12 (1979) 4409-4422 J.K. Immele, K-K. Kan, J.J. Griffin: Special examples of quantized friction, Nucl.Phys. A241 (1975) 47-60. (Has solution of Kostin eqn for barrier penetration, but only numerically. Friction can reduce tunnelling rate exponentially, but no fluctuating force was in these calculations, so unclear total effect.) See also: Quantized friction and the correspondence principle; single particle with friction, Phys.Lett. B 50 (1974) 241-243 where yet another Kostin-like equation is proposed. Y. Imry, A. Stern: Dephasing by coupling with the environment, application to Coulomb electron-electron interactions in metals. (Eighth International Winterschool on New Developments in Solid State Physics, Mauterndorf, Austria, 14-18 Feb. 1994). Semiconductor Science and Technology, Nov. 1994, vol.9, (no.11S):1879-89. Pub type: Theoretical or Mathematical. Abstract: A general formulation will be given of the loss of phase coherence between two partial waves, leading to the dephasing of their interference. This is due to inelastic scattering from the 'environment' (which is a different set of degrees of freedom that the waves are coupled with). For a conduction electron, the other electrons ('Fermi sea') are often the dominant environment of this type. Coulomb interactions with the latter are, especially at lower dimensions, the most important dephasing mechanism. It will be shown how this picture yields rather straightforwardly the very non-trivial results of Altshuler, Aronov and Khmelnitskii in one and two dimensions, in the diffusive case. Subtleties associated with divergences that have to be subtracted will be discussed. These results are known to agree well with experiments. As a new application of the above ideas, the dephasing in a zero-dimensional quantum dot will be briefly considered. This will lead to stringent conditions for observing the discrete spectrum of such a dot, in agreement with recent experiments. The crossover at low temperatures in small wires from one- to zero-dimensional behaviour will be shown to 'rescue' the Landau Fermi-liquid theory from being violated because of the T/sup 2/3/ behaviour of the 1D dephasing rate. After clarifying the relationship between the e-e scattering rate and the dephasing rate, the connection with the former will be made, including the ballistic regime. Wayne M. Itano, D.J. Heinzen, J.J. Bollinger, D.J. Wineland: Quantum Zeno effect, Phys.Rev. A 41 (1990) 2295-2300 See also comment by L.E. Ballentine PR A 43,9 (1991) 5165-5167 and reply 5168. Ballentine's quibbles are purely semantical, it turns out. Kiyosi Ito: On stochastic differential equations, Memoirs of the AMS 4 (1951). Claude Itzykson and J-B. Zuber: Quantum field theory, McGraw-Hill 1980. J.D. Jackson: Classical electrodynamics, Wiley 1975 Max Jammer: The philosophy of quantum mechanics, Wiley NY 1974. G. Jarlskog, L. J\"onsson et al: Measurement of Delbr\"uck scattering and observation of photon splitting at high energies, Phys.Rev. D 8,11 (1973) 3813-3823. The claimed observation of photon splitting here is now regarded as wrong, indeed nobody has observed photon splitting yet, see the Johannessen cite,. But the Delbr\"uck scattering measurements here are supposed to be OK. For other measurements of Delbr\"uck scattering, see for example Nuc.Phys. A 280 p180, 308 p88, 313 p307; Phys.Rev.D 22 p1051, 27 p1962; Phys.Rev.C 23 p1375, 27 p559; and the Rullhausen cite. Generally speaking they all agree with first order QED theory (to within experimental errors of about 20\%) if ``coulomb correction'' terms (which technically sum contributions that are of much higher QED order) are used. J.M. Jauch and F. Rohrlich: The theory of photons and electrons, (2nd expanded ed.) Springer Verlag 1976. E.T. Jaynes: (alternative to QED with no zero point fields. Regarded as wrong since nonlinear, predicts "chirped" transitions which are not experimentally seen, etc...) with M.D.Crisp: Radiative effects in semiclassical theory, Phys.Rev. 179 (1969) 1253-1261. (finds Lamb shift factor of 2 too small. Finds Einstein A coeff correctly. Uses Schrodinger combined with classical Maxwell eqns.) with F.W.Cummings: Proc.IEEE 51 (1963) 89. also in Electrodynamics today ed. L.Mandel and E.Wolf Plenum 1978, finally p.381-403 in "Probability and quantum theory" (ed W.H.Zurek) Addison Wesley 1990. A.M. Johannessen, K.J. Mork, I \/Overb\/o: Photon splitting cross sections, Phys.Rev. D 22,5 (1980) 1051-1061. E. Joos and H.D. Zeh: The emergence of classical properties through interaction with the environment, Zeit. Phys. B 59 (1985) 223-243. Consider effect of scattering processes on density matrix. $i \dot{\rho} = [\hat{H}_{\rm internal},\rho] + i \frac{\partial \rho}{\partial t}|_{\rm scatt}$. Find you get dieoff like $\exp -(\Delta x)^2 t / \tau$... Thomas F. Jordan: Reconstructing a nonlinear dynamical framework for testing quantum mechanics, Annals of Physics 225 (1993) 83-113 Fixes the Weinberg theory. Leo P. Kadanoff: Failure of the electronic quasiparticle picture for nuclear spin relaxation in metals, Physical Review 132,5 (Dec 1963) 2073-2077. Leo P. Kadanoff and Gordon Baym: Quantum statistical mechanics; Green's function methods in equilibrium and nonequilibrium problems, Benjamin, New York, 1962. E. Kanai: On the quantization of dissipative systems, Progr. Theor. Phys. 3 (1948) 440-442. Suggests using time dependent ``Hamiltonian'' to do damped quantum. This is a rather bad paper. R.Karplus and M.Neuman: The scattering of light by light, Phys.Rev. 83,4 (1951) 776-784. S.M. Kent, C. Stoughton, et al.: Sloan digital sky survey, pages 205-214 in Astronomical data analysis software and systems III, ASP conference series 61 (1994) (D.R.Crabtree, R.J.Hanisch, J.Barnes eds.) L.A.Khalfin: Contribution to the decay theory of the quasi-stationary state, Sov.Phys.JETP 6 (1958) 1053-1063 and L.A.Khalfin: Phenomenological theory of $K^0$ mesons and the nonexponential character of the decay, JETP Letters 8 (1968) 65-68. T. Kinoshita and W.B. Lindquist: Eigth order anomalous magnetic moment of the electron, Preliminary announcement: Phys.Rev. Lett. 47,22 (Nov 1981) 1573-1576; I: Phys.Rev.D 27,4 (1983) 867-876; II: Phys.Rev.D 27,4 (1983) 877-885; III: Phys.Rev.D 27,4 (1983) 886-898; IV: Phys.Rev.D 39,8 (1989) 2407-2414; V: Phys.Rev.D 42,2 (1990) 636-655. S. Kochen and E.P. Specker: The problem of hidden variables in quantum mechanics, J. Math. Mechan. 17 (1967) 59-87. A simplification of this proof due to Richard Friedberg is presented on pages 324-326 of Jammer and a further improvement is in Nelson's Quantum fluctuations pages 115-117. M.D. Kostin: On the Schr\"odinger-Langevin equation, J. Chemical Phys. 57,9 (1972) 3589-3591. V.V. Kozloz and D.V. Tresch\"ev: Billiards, AMS translations \#89 (1991) Birkhoff thm: For each n,k, there exist at least 2 periodic orbits with n corners on a convex billiard table, shown by Birkhoff using fixed pt thm by Poincare. H. Lamb: Hydrodynamics (6th ed.), Dover 1945, Cambridge University Press 1932. C.Lanczos: The variational pronciples of mechanics, (3rd ed.) Univ. Toroto Press 1966. Also Dover reprint. Anthony J. Leggett: Quantum tunneling in the presence of an arbitrary linear dissipation mechanism, Phys. Rev. B 30,3 (Aug 1984) 1208-1218 A.J. Leggett and Anupam Garg: Quantum mechanics vs macroscopic realism: Is the flux there when nobody looks?, Phys. Rev. Letters 54,9 (4 March 1985) 857-860 A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger: Dynamics of the dissipative two-state system, Rev. Mod. Phys. 59,1 (Jan. 1987) 1-85 A.J.Leggett: Macroscopic quantum systems and the quantum theory of measurement, Progress of Theoretical Physics Supplement 69 (1980) 80-100 Abstract: Discusses the question: How far do experiments on the so-called 'macroscopic quantum systems' (such as superfluids and superconductors) test the hypothesis that the linear Schrodinger equation may be extrapolated to arbitrarily complex systems? It is shown that the familiar 'macroscopic quantum phenomena' such as a flux quantization and the Josephson effect are irrelevant in this context, because they correspond to states having a very small value of a certain critical property while the states important for a discussion of the quantum theory of measurement have a very high value of this property. Various possibilities for verifying experimentally the existence of such states are discussed, with the conclusion that the most promising is probably the observation of quantum tunnelling between states with macroscopically different properties. It is shown that because of their very high 'quantum purity' and consequent very low dissipation at low temperatures, superconducting systems (in particular SQUID rings) offer good prospects for such an observation. J.C. Le Guillou and J. Zinn-Justin (editors): Large order behaviour of perturbation theory, North-Holland 1990 M.J. Levine, H.Y. Park, R.Z. Roskies: High precision evaluation of contributions to $g-2$ of the electron in sixth order, Rhys.Rev. D 25,8 (1982) 2205-2207. H.J. Lipkin: Phase uncertainty and loss of interference in a simple model for mesoscopic Aharonov-Bohm experiments. Physical Review A 42,1 (July 1990) 49-54. Pub type: Theoretical or Mathematical. Abstract: Incoherence introduced in two-path experiments by interactions with scatterers in thermal equilibrium is examined with an energy-momentum approach previously used for the Mossbauer effect. Oscillations in intensity with variations in the magnetic flux are shown to be insensitive to random phase changes in the individual scattering amplitudes. Inelastic incoherent scattering may be suppressed when there are a large number of scatterers. A small loss of phase coherence negligible in cases of practical interest can occur even via elastic scattering, which does not perturb the environment. The temperature dependence of the loss of interference, analogous to the Debye-Waller factor, may be tested by experiment. E.D.Loh and E.J.Spillar, Astrophys. J. 303 (1986) 154. Edwin D. Loh: Implications of the red shift number test for cosmology, Phys.Rev.Lett. 57 (1986) 2865-2867. (Sky survey counting 1000 galaxies at various presumed distances shows that space appears flat. Sets upper bound on cosmological constant... finds: 0.7 < (mass density/(closure density) < 1.3 0.6 < (universe age)/(hubble const H0) < 0.88 -0.3 < (cosmo constant)/(3*H0^2) < 0.3 all intervals here are 95% confidence intervals. Claims hopes to get 100 times more data in "a few years", but this apparently never happened... however the "Sloan digital sky survey" is now [1995] about to get underway and should classify and catalog over 1M galaxies with neural nets.) R. Loudon: The quantum theory of light, 2nd ed. Oxford U. Press 1983. P.K. Majumder, B.J. Venema, S.K. Lamoreaux, B.R. Heckel, E.N. Fortson: Test of the linearity of quantum mechanics in optically pumped ${}^{201}$Hg, Phys. Rev. Lett. 65,24 (Dec 1990) 2931-2934 S.I.Marcus: Algebraic and geometric methods in nonlinear filtering, SIAM J.Contol and optimization 22 (1984) 817-844. J.M. Martinis, M.H.Devoret, J. Clarke: Experimental tests of the quantum behavior of a macroscopic degree of freedom: the phase difference across a Josephson junction, Phys. Rev. B 35,10 (April 1987) 4682-4698 S.W. McDonald and A.N. Kaufman: Spectrum and eigenfunction for a Hamiltonian with stochastic trajectories, Phys.Rev. Lett. 42 (1979) 1189-1191 Peter W. Milonni: The quantum vaccum, an introduction to QED, Academic press 1994. Section 10.7 finds for the Casimir force between parallel plates due to the Dirac electron-hole field, assuming massless electrons (or any kind of spin 1/2 particles, e.g. neutrinos...) and also assuming boundary conditions that the walls are impermeable to these electrons, exactly 7/4 times the usual Casimir force from EM fields. Same sign. Nevill F. Mott: The wave mechanics of $\alpha$-ray tracks, Proc. Royal Society of London A 126 (1929) 79-84. The rays are a slowly leaking spherical wave out of the radioactive nucleus, but produce a sudden straight track in the cloud chamber. Why do not they ionize cloud atoms randomly throughout space time? Mott shows that two cloud atoms can only both be ionized if lie in a straight line with the emitter. "The difficulty we have is in picturing howe it is that a spherical wave can produce a straight track arises from our tendency to picture the wave as existing in ordinary three dimensional space, whereas we are really dealing with wave functions in the multispace formed by the coordinates of both the $\alpha$-particle and every atom in the Wilson cloud chamber." Jose E. Moyal: Quantum mechanics as a statistical theory, Proc. Cambridge Philos. Soc. 45 (1949) 99-124 Edward Nelson: Derivation of the Schr\"odinger equation from Newtonian mechanics, Phys.Rev. 150,4 (Oct 1966) 1079-1085. Stochastic process way to view quantum mechanics. See also his two books. Edward Nelson: Quantum fluctuations, Princeton Univ. Press 1985 QC174.45.N45 Edward Nelson: Dynamical theories of brownian motion, University Microfilms books on demand. John von Neumann: Mathematical Foundations of Quantum Mechanics, Princeton University Press 1955 (translated by R.T. Beyer) E.B. Norman, S.B. Gazes, S.G. Crane, D.A. Bennett: Tests of the exponential decay law at short and long times, Phys.Rev.Lett. 60,22 (May 1988) 2246-2249. No deviation from exponential law was found over short times ($10^{-4}$ times the half life) and long times ($45$ half lives) in studies on two radioactive isotopes. This is not suprising since it was estimated that you would need to use $10^{-29}$ half lives or less to see the short-times effect (Chiu, Sudarshan, Misra PR D 16 (1977) 520) and 200 half lives for the long time effect (R.G. Winter: Phys.Rev. 126 (1962) 1152). The nonexponentiality of decay has been pointed out by a great many theorists in a great many places, but the first may have been Khalfin 1958. There has to be a ``cutoff in the decay spectrum'' at both high and low energies.... the Fourier transform of an exponential is a Lorentzian, and a Lorentzian arguably has no mean and certainly has an infinite variance, the latter being unphysical. Actually I don't see why it is unphysical, although I admit the logarithmical infinitude of E( |energy - mean| ) worries me. Novak, I.; Ng, S.C.; Potts, A.W.: The photoelectron spectrum of a chiral molecule CHFClBr, Chemical Physics Letters 215,6 (Dec 1993) 561-564. Abstract: He I and He II photoelectron spectra of a chiral molecule CHFClBr are presented and analysed with the aid of empirical and ab initio MO methods. A qualitative analysis of halogen lone pair interactions and the "CHF effect" is given based on available spectra. Ab initio calculations are also reported for all chiral halomethanes. Notes: CHFClBr has been synthesized, but only as a racemic mixture so far. Various nergies have been measured experimentally via electron ionization techniques, and also similar energies have been computed via MO techniques for this and other chiral molecules. However, the chiral even vs odd splitting and the left-to-right tunneling rates have NOT been measured or calculated here. In fact accurate calculations of these things do not seem to exist anywhere. 8380 .252 eng and chemlib Stephen M. Omohundro: Geometric perturbation theory in physics, World Scientific, 1986. In section 13.4 "the string with a spring", he observes that a 1-way infinite string with tension $T$ and density $\rho$ and small perturbations, obeying the wave equation, will exert a trverse force on the shaking apparatus of$ F=T w'(x,t)$, which considering $w(x,t)=y(t-x/c)$ is $F=-T/c \dot{y}$ at $x=0$. This is a drag term linear in velocity. In section 10.1 "imbedding in a Hamiltonian system" he observes that any velocity flow field $X$ on some $n$-space can be converted to a hamiltonian system by putting in $n$ "momentum" coordinates and writing $H=p \cdot X(q)$ so that Hamilton's eqns become $\dot{q}=X$ and $\dot{p}_i = - \sum_j p_j dX_j/dq_i$. On the subspace $p=0$, or projected down into it, we get the original dynamics embedded inside Hamiltonian dynamics. Omohundro also observes in section 10.3.1 "Eg. Surreptitiously changing damping to driving" that by time dependent coordinate changes one can convert a damped harmonic oscillator to a reverse-of-damped one! Do not use time dependent coordinate changes! Explicitly time dependent "Hamiltonians" can also be dangerous since they are really introducing an extra dimension surreptitiously. E.Pardoux: Filtrage non-lin\'eaire et \'equations aux d\'eriv\'ees partielles stochastiques associe\'es. In Springer Lecture notes in math \# 1464 (1994). R.K. 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Cetto: Self interaction corrections in a nonrelativistic theory of quantum mechanics, Phys. Rev. D 3 (1971) 795-800. J.B. Pendry: Shearing the Vacuum -- Quantum Friction, J. Physics Condensed Matter 9 (1997) 10301- Asher Peres: Nonexponential decay law, Annals of Physics 129 (1980) 33-46. on the eventual falsity of the exponential decay law. Abstract: "The decay of nonsytationary states usually starts as a quadratic function of time and ends as an inverse power law (possibly with oscillation). Between these two extremes the familiar... exponential decay law {\it may} be approximately valid." Perez-Garcia, V.M.; Gonzalo, I.; Perez-Diaz, J.L.: Theory of the stability of the quantum chiral state, Physics Letters A 167,4 (July 1992) 377-382. Abstract: A general treatment is given to analyse the stability of chiral versus delocalized symmetric states in molecules. The consideration that electrons are adapted to the nuclei and not providing an adiabatic double well, leads to the stabilization of the chiral forms except for a few cases that could include NHDT. Joseph Polchinski: Weinberg's nonlinear quantum mechanics and the EPR paradox, Phys.Rev.Lett. 66,4 (1991) 397-400. Alfred G. Redfield: On the theory of relaxation processes, IBM J. Res. & Devel. 1 (1957) 19-31. Gives density matrix formulation of decoherence in NMR. $\dot{\rho}_{ab} = - i \omega_{ab} \rho_{ab} + \sum_{cd} R_{abcd} \rho_{ab}$. See Slichter book. See also Redfield papers in Adv.Magn.Resonance 1,1 (1965) and Science 164 (1969) 1015. See also these papers ??? on Redfield picture (by other people): Phys.Rev. 112 (1958) 1599; 122 (1961) 1701; 132 (1963) 2073; 133 (1964) A1108; 145 (1966) 380; 153 (1967) 355 L.C.G. Rogers and D.W. Williams: Diffusions, Markov processes, and martingales, Chicester, J.Wiley and sons 1990. (2 volumes). P.Ruggiero and M.Zannetti: Microscopic derivation of the stochastic process for the quantum Brownian oscillator, Phys.Rev. A 28,2 (1983) 987-993 P. Rullhausen, U. Zurm\"uhl, et al.: Comment on the scaling behavior of Delbr\"uck amplitudes, Phys. Rev. D 27,8 (1983) 1962-1964. J.J. Sakurai: Advanced quantum mechanics, Addison-Wesley 1985 J.J. Sakurai: Modern quantum mechanics, (Revised edition) Addison-Wesley 1994. Michael D. Scadron, Advanced quantum theory and its applications through Feynman diagrams Springer-Verlag, c1991. 2nd ed. Leonard Schiff: Quantum mechanics, (3rd ed) McGraw Hill 1968. Zeev Schuss: Theory and applications of stochastic differential equations, Wiley series in probability and math'l statistics, 1980. Erwin Schr\"odinger: Quantisierung als Eigenwertproblem, I: Annalen der Physik 79 (1926) 361-376, II: 489-527; III: 80 (1926) 437-490, IV: 81 (1926) 109-139. Julian Schwinger: Brownian motion of a quantum oscillator, J.Math.Phys. 2,3 (1961) 407-432. Lawrence S. Schulman: Techniques and applications of path integration, Wiley 1981. J. Schwinger, L.L. de Raad Jr., K.A. Milton: Casimir effect in dielectrics, Annals of Phys. 115 (1978) 1. Finite temperature effects on Casimir force are negligible when $T \ll \hbar c / (k_B d)$. When $d$ is a micron or less, this is $T \ll 2300$K. Force per unit area is $\frac{\pi^2 \hbar c}{240 d^4} ( 1 + \frac{16}{3} x + ... )$ where $x = k_B T d / (\hbar c)$. Similarly there should be finite temperature effects on the Lamb shift (probably negligible at temperatures smaller than the ionization energy of hydrogen?), anomalous moment (negligible at temperatures below pair production), etc. Atle Selberg: Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956) 47-87. I.R. Senitzky: Dissipation in quantum mechanics: the harmonic oscillator, Phys.Rev. 119 (1960) 670-679. Abner Shimony: Proposed neutron interferometer test of some nonlinear variants of wave mechanics, Phys. Rev. A 20,2 (August 1979) 394-396 Peter W. Shor: Algorithms for quantum computation: Discrete Logartithms and Factoring, IEEE Symp. Foundations of Computer Sci. (1994) 124-134 R.Silbey and R.A. Harris: chiral???, J.Phys.Chem. 93 (1989) 7062-????. Markus Simonius: Spontaneous symmetry breaking and blocking of stationary states, Phys.Rev.Lett. 40,15 (1978) 980-983. Ya. G. Sinai: Dynamical systems with elastic reflections, Russian Math. Surveys 25 (1970) 137-189. proof that hard sphere gases are ergodic; if a point moves in a domain which has concave-outward boundary except at corners of measure 0, then ergodic. Bo-Sture K. Skageram: Stochastic mechanics and dissipative forces, J.Math.Phys. 18,2 (Feb 1977) 308-311 C.P. Slichter: Principles of magnetic resonance, Springer 1980. QC762.S55 chemistry library. Smith, G.G.; Reddy, G.V.: Effect of the side chain on the racemization of amino acids in aqueous solution, Journal Of Organic Chemistry 54,19 (1989) 4529-4535. Chemistry Lib. (SQ) 8330 .503 Charles M. Sommerfield The magnetic moment of the electron, Annals of Physics 5 (1958) 26-57 M.J. Sparnaay: Measurement of attractive forces between flat plates, Physica 24 (1958) 751-764 Casimir force. $0.013/d^4$ dynes per sq-cm (attractive force per unit area is $\pi^2 \hbar^2 c / 240 d^4$) where $d$ is plate separation in microns. Metal plates, grounded. Looks excellent. $d$ must be much larger than skin (aka. extinction) depth. Seems to agree with Casimir law in functional form, and the actual constant is 1-4 times the predicted one in the measured range $d$ is $0.5$ to $2$ microns. See also P.H.G.M. Van Blokland and J.T.G. Overbeek: Van der Waals forces between objects covered with a Chromium layer, J.Chem.Soc.Faraday Trans. 74 (1978) 2637, B.V. Derjaguin and I.I. Abrikova: Direct measurement of molecular forces, Nature 272 (1978) 313. Sparnaay: The historical background of the Casimir effect, in "Physics in the making", A.Salemijn and M.J.Sparnaay eds, Elsevier 1989. See also Sukenik et al for quantitative confirmation of Casimir-Polder. A. M. Steane, "Multiple particle interference and quantum error correction", Proc. Roy. Soc. London A, 452, 2551--2577 (1996); quant-ph/9601029 Adi Stern, Yakir Aharonov, Yoseph Imry: Phase uncertainty and loss of interference: a general picture. Physical Review A 41,7 (April 1990) 3436-3448. Pub type: Theoretical or Mathematical. Abstract: The problem of quantum interference in the presence of an environment is considered by two approaches. One treats the problem from the point of view of the trace left by the interfering particle on its environment. The other regards the phase accumulation of the interfering waves as a statistical process, and explains the loss of interference in terms of uncertainty in the relative phase. The equivalence of the two approaches is proven for the general case. The two approaches are applied to dephasing of electron interference by photon modes in coherent and thermal states, and to dephasing by electromagnetic fluctuations in metals. K.W.H. Stevens: The Hamiltonian formalism of damping in a tuned circuit, Proc. of the Physical Society 77 (1961) 515-525; also see his A comment on quantum mechanical damping, Physics Letters 75A,6 (Feb 1980) 463-464. Stevens was one of the earliest derivations in the Feynman-Vernon Caldeira-Leggett type framework. He used a transmision line to get damping, saw the need for fluctuations in the line, and made his line as the limit of a finite number of oscillators. This is very similar to Ford-Kac-Mazur. W. Stocker and K. Albrecht: Annals of Physics 117 (1979) 436-446 Generalize HJ equation to do friction, then use Madelung fluid analogy to get frictional QMs. Many previous friction QM proposals are special cases, including Kostin. J.J. Stokes: On some cases of fluid motion, Cambridge Trans. viii (1843), and {\it Papers} i, 17. A. Douglas Stone: Magnetoresistance fluctuations in mesoscopic wires and rings, Phys.Rev.Lett. 54 (1985) 2692-2695 R.F.Streater and A.S.Wightman: CPT, spin, statistics, and all that, Benjamin 1964 A. Streitwieser Jr. and C.H. Heathcock: Introduction to organic chemistry, Macmillan 1976 C.I. Sukenik, M.G. Boshier, D. Cho, V. Sandoghar, E.A. Hinds: Measurement of the Casimir-Polder force, Phys.Rev.Lett. 70,5 (1993) 560-564. Takehiko Takabayashi: The formulation of quantum mechanics in terms of ensemble in phase space, Prog. Theor. Phys. (Japan) 11,4-5 (1954) 341-373. 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Solves a harmonic oscillator coupled to a heat bath. This work predates Caldeira+Leggett and Zurek by many years. W.G. Unruh: Notes on black hole evaporation, Phys.Rev. D14 (1976) 870-???. The "Unruh-Davies effect", according to which an accelerated ($a$) detector in the zero-point EM vacuum field will believe it is at rest in a blackbody EM bath of temperature $T = \hbar a / ( 2 \pi k_B c)$. See also P.C.W.Davies: J.Phys. A8 (1975) 609-???. Note $\sigma = \frac{\pi^2 k_B^4 }{ 60 \hbar^3 c^2}$, hence $\sigma T^4 = \frac{ \hbar a^4 }{ 960 \pi^2 c^6 }$ W.G. Unruh and W.H. Zurek: Reduction of a wave packet in quantum brownian motion, Phys. Rev. D 40,4 (1989) 1071-1094 Richard A. Webb, Sean Washburn: Quantum interference fluctuations in disordered metals, Physics Today (Dec 1988) 46-53. R.A. Webb, S. Washburn, C.P. Umbach, R.B. Laibowitz: Observation of h/e Aharonov-Bohm oscillations in normal metal rings, Phys. Rev. Lett. 54 (1985) 2696-2699. Steven Weinberg: Precision tests of quantum mechanics, Phys. Rev. Letters 62,5 (Jan 1989) 485-488; see also 63,10 (1989) 1114-1115 for an attack by Asher Peres and reply by Weinberg. Steven Weinberg: Testing quantum mechanics, Annals of Physics 194,2 (Sep 1989) 336-386. T.A. Welton: Some observable effects of the quantum mechanical fluctuations of the electromagnetic field, Phys.Rev. 74 (1948) 1157-1167. Explains Lamb shift as mostly due to zeropoint field induced fluctuations. Reinhard Werner: A generalization of stochastic mechanics and its relation to quantum mechanics, Phys.Rev.D 34,2 (1986) 463-469 J.A. Wheeler and W.H. Zurek (eds.): Quantum Theory and Measurement, Princeton Univ Press, 1983 E.P. Wigner: On the quantum correction for thermodynamic equilibrium, Phys.Rev. 40 (June 1932) 749-759 Introduces "Wigner transform". Idea joint with L.Szilard. E.P. Wigner: Group theory, Academic 1959. Wigner's theorem page 233 states that any self mapping $f$ of Hilbert space which preserves the norm of dot products may be rewritten (via a phase angle redefinition) as a linear unitary or linear antiunitary transformation. Even stronger versions, see N.Gisin: Amer.J.Phys.61 (1993) 86-?? and G.Emch and C.Piron: Symmetry in quantum theory, J.Math.Phys. 4 (1963) 469-473. E.P. Wigner: The problem of measurement, Am. J. Phys. 31 (1963) 6-15. A review of quantum theory of measurement, contains original design of ``reversible'' Stern-Gerlach apparatus. Review of the quantum measurement problem: 43-63 in: Quantum optics, experimental gravity, and measurement theory, eds. P.Meystre and M.O.Scully, Plenum 1983. R.R. Wilson: Scattering of 1.3 MeV gamma rays by electric field, Phys Rev 90 (1953) 720-721. %Theory: M. Delbr\"uck: Zeit. Phys. 84 (1933) 144-?? N.M.J. Woodhouse: Geometric quantization, (2nd ed.) Oxford University Press 1992. Kunio Yasue: Quantum mechanics of nonconservative systems, Annals of Physics 114 (1978) 479-496 K. Yasue: Stochastic calculus of variations, Journal of Functional Analysis 41,3 (May 1981) 327-340 K. Yasue: Quantum mechanics and stochastic control theory, Journal of Mathematical Physics, 22,5 (1981) 1010-1020 K. Yasue: On a certain class of two-sided continuous local semimartingales: toward a sample-wise characterization of the Nelson process, Journal of Mathematical Physics, 23,9 (Sept 1982) 1577-1583 K. Yasue: Stochastic quantization: a review, International Journal of Theoretical Physics 18,12 (Dec 1979) 861-913 Abstract: The present status of the work on the application of the stochastic quantization procedure is reviewed. A compact mathematical introduction to the basic notions of random processes such as Markov processes, Martingales and Fokker-Planck equations is presented. The stochastic quantization procedure is explained in much detail and it is found to possess remarkable features which can not be achieved within the conventional framework of quantum theory. This admits us to give systematic analyses of irreversible quantum dynamics of dissipative systems and the vacuum tunneling phenomena in non-Abelian gauge theory. K. Yasue: Stochastic quantization of wave fields and its application to dissipatively interacting fields, Journal of Mathematical Physics 19,9 (Sept. 1978) 1892-1897 K. Yasue: Detailed time-dependent description of tunneling phenomena arising from stochastic quantization, Physical Review Letters 40,11 (1978) 665-667 Abstract: A time-dependent, fully quantum mechanical description of tunnelling effects is developed. A stochastic quantisation approach is utilised. The analysis of a simple dynamical system with just one degree of freedom is discussed. (Doesn't do dissipation.) M. Zaka\"i: On the optimal filtering of diffusion processes, Z. Wahrscheinlichkeitstheorie verw. Geb. 11 (1969) 230-243. George M. Zaslavsky: Stochasticity in quantum systems, Phys.Rep. 80 (1981) 157-250. Quantum systems where classical version is chaotic. Wojciech H. Zurek: Decoherence and the transition from quantum to classical, Physics Today (October 1991) 36-44. See also the Letters section, pages 13-15 and 81-90 of the April 1993 issue. A followup paper is: Prefered states, predictability, classicality, and the environment-induced decoherence, Progr. Theor. Physics 89,2 (Feb 1993) 281-312 W.H. Zurek: Pointer basis of quantum apparatus; into what mixture does the wave packet collapse? Phys. Rev. D 24 (1981) 1516-1525; Environment induced superselection rules, 26,8 (1982) 1862-1879 W.H.Zurek: Information transfer in quantum measurements: irreversibility and amplification, 87-116 in: Quantum optics, experimental gravity, and measurement theory, eds. P.Meystre and M.O.Scully, Plenum 1983. ------- 111. MINTAS M; RAOS N; MANNSCHRECK A. 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