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Books on the topic 'Quantum mechanics; Classical limit'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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1

Advanced quantum mechanics the classical-quantum connection. Sudbury, Mass: Jones and Bartlett Publishers, 2011.

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2

Blümel, R. Advanced quantum mechanics the classical-quantum connection. Sudbury, Mass: Jones and Bartlett Publishers, 2011.

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3

Bóna, Pavel. Classical Systems in Quantum Mechanics. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45070-0.

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4

Bolivar, A. O. Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004.

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5

Supersymmetry in quantum and classical mechanics. Boca Raton, Fla: Chapman & Hall/CRC, 2001.

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6

Gutzwiller, Martin C. Chaos in Classical and Quantum Mechanics. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-0983-6.

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7

Kelley, J. Daniel, and Jacob J. Leventhal. Problems in Classical and Quantum Mechanics. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46664-4.

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8

Gutzwiller, M. C. Chaos in classical and quantum mechanics. New York: Springer-Verlag, 1990.

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9

Dyke, P. P. G. Guide to mechanics. Basingstoke: Macmillan Press, 1992.

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10

1946-, Jamiołkowski Andrzej, ed. Geometric phases in classical and quantum mechanics. Boston: Birkhäuser, 2004.

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11

G, Magiaradze L., and Sardanashvili, G. A. (Gennadiĭ Aleksandrovich), eds. Geometric formulation of classical and quantum mechanics. Singapore: World Scientific, 2011.

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12

Chruściński, Dariusz. Geometric Phases in Classical and Quantum Mechanics. Boston, MA: Birkhäuser Boston, 2004.

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13

Landsman, N. P. Mathematical topics between classical and quantum mechanics. New York: Springer, 1998.

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14

Chruściński, Dariusz, and Andrzej Jamiołkowski. Geometric Phases in Classical and Quantum Mechanics. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8176-0.

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15

Landsman, N. P. Mathematical Topics Between Classical and Quantum Mechanics. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1680-3.

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16

Błaszak, Maciej. Quantum versus Classical Mechanics and Integrability Problems. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18379-0.

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17

Kaushal, R. S. Classical and Quantum Mechanics of Noncentral Potentials. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-11325-7.

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18

Chruściński, Dariusz. Geometric phases in classical and quantum mechanics. Boston: Birkhäuser, 2004.

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19

Greene, Ronald L. Classical mechanics with Maple. New York: Springer, 1995.

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20

Classical dynamics and its quantum analogues. 2nd ed. Berlin: Springer-Verlag, 1990.

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21

David, Park. Classical Dynamics and Its Quantum Analogues. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990.

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22

Dimassi, Mouez. Spectral asymptotics in the semi-classical limit. Cambridge, U.K: Cambridge University Press, 1999.

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23

Mills, Randell L. The grand unified theory of classical quantum mechanics. East Windsor, NJ: BlackLight Power, 1999.

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24

Mills, Randell L. The grand unified theory of classical quantum mechanics. 2nd ed. Cranbury, NJ: BlackLight Power, 2000.

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25

Mills, Randell L. The grand unified theory of classical quantum mechanics. Malvern, PA: Blacklight Power Inc., 1996.

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26

Hakim, Rémi. Introduction to relativistic statistical mechanics: Classical and quantum. Hackensack, NJ: World Scientific, 2011.

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27

Mills, Randell L. The grand unified theory of classical quantum mechanics. 2nd ed. Cranbury, NJ: Blacklight Power, 2006.

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28

Mills, Randell L. The grand unified theory of classical quantum mechanics. 2nd ed. ranbury, NJ: Blacklight Power, 2007.

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29

Bellissard, Jean, Mirko Degli Esposti, Giovanni Forni, Sandro Graffi, Stefano Isola, and John N. Mather. Transition to Chaos in Classical and Quantum Mechanics. Edited by Sandro Graffi. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0074073.

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30

R, Good William, ed. The grand unified theory of classical quantum mechanics. [Malvern, Pa.]: HydroCatalysis Power Corp., 1995.

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31

Mills, Randell L. The grand unified theory of classical quantum mechanics. 2nd ed. Cranbury, NJ: BlackLight Power, 2005.

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32

Classical and quantum dissipative systems. London: Imperial College Press, 2005.

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33

Robinett, Richard W. Quantum mechanics: Classical results, modern systems, and visualized examples. New York: Oxford University Press, 1997.

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34

A brief introduction to classical, statistical, and quantum mechanics. New York: Courant Institute of Mathematical Sciences, New York University, 2006.

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35

Principles of physics: From quantum field theory to classical mechanics. New Jersey: World Scientific, 2014.

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36

Sardanashvili, G. A. (Gennadiĭ Aleksandrovich), ed. Connections in classical and quantum field theory. Singapore: World Scientific, 2000.

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37

Pastras, Georgios. The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59385-8.

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38

-I, Johansson P., ed. Unification of classical, quantum, and relativistic mechanics and of the four forces. New York: Nova Science Publishers, 2005.

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39

service), SpringerLink (Online, ed. Exploring Macroscopic Quantum Mechanics in Optomechanical Devices. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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40

Kaushal, R. S. Classical and Quantum Mechanics of Noncentral Potentials: A Survey of Two-Dimensional Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998.

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41

Classical and quantum mechanics of noncentral potentials: A survey of two-dimensional systems. Berlin: Springer-Verlag, 1998.

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42

Re-examining the quantum-classical relation: Beyond reductionism and pluralism. New York: Cambridge University Press, 2008.

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43

Gordon Godfrey International Workshop on Computational Approaches to Novel Condensed Matter Systems (3rd 1993 Sydney, Australia). Computational approaches to novel condensed matter systems: Applications to classical and quantum mechanics. New York: Plenum, 1995.

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44

Trump, M. A. Classical Relativistic Many-Body Dynamics. Dordrecht: Springer Netherlands, 1999.

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45

Drexel Symposium on Quantum Nonintegrability (4th 1994 Philadelphia, Pa.). Quantum classical correspondence: Proceedings of the 4th Drexel Symposium on Quantum Nonintegrability, Drexel University, Philadelphia, USA, September 8-11, 1994. Cambridge, MA: International Press, 1997.

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46

M, Karim, and Qadir Asghar, eds. Experimental gravitation: Proceedings of the International Symposium on Experimental Gravitation, 26 June-2 July 1993, Nathiagali, Pakistan. Bristol: Institute of Physics Pub., 1994.

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47

Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit (The Frontiers Collection). Springer, 2004.

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48

Sogge, Christopher D. Classical and quantum ergodicity. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691160757.003.0006.

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This chapter proves results involving the quantum ergodicity of certain high-frequency eigenfunctions. Ergodic theory originally arose in the work of physicists studying statistical mechanics at the end of the nineteenth century. The word ergodic has as its roots two Greek words: ergon, meaning work or energy, and hodos, meaning path or way. Even though ergodic theory's initial development was motivated by physical problems, it has become an important branch of pure mathematics that studies dynamical systems possessing an invariant measure. Thus, this chapter first presents some of the basic limit theorems that are key to the classical theory. It then turns to quantum ergodicity.
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49

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Bimolecular Reactions, Transition-State Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0006.

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This chapter discusses an approximate approach—transition-state theory—to the calculation of rate constants for bimolecular reactions. A reaction coordinate is identified from a normal-mode coordinate analysis of the activated complex, that is, the supermolecule on the saddle-point of the potential energy surface. Motion along this coordinate is treated by classical mechanics and recrossings of the saddle point from the product to the reactant side are neglected, leading to the result of conventional transition-state theory expressed in terms of relevant partition functions. Various alternative derivations are presented. Corrections that incorporate quantum mechanical tunnelling along the reaction coordinate are described. Tunnelling through an Eckart barrier is discussed and the approximate Wigner tunnelling correction factor is derived in the limit of a small degree of tunnelling. It concludes with applications of transition-state theory to, for example, the F + H2 reaction, and comparisons with results based on quasi-classical mechanics as well as exact quantum mechanics.
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50

Rau, Jochen. Perfect Gas. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.003.0006.

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The perfect gas is perhaps the most prominent application of statistical mechanics and for this reason merits a chapter of its own. This chapter briefly reviews the quantum theory of many identical particles, in particular the distinction between bosons and fermions, and then develops the general theory of the perfect quantum gas. It considers a number of limits and special cases: the classical limit; the Fermi gas at low temperature; the Bose gas at low temperature which undergoes Bose–Einstein condensation; as well as black-body radiation. For the latter we derive the Stefan–Boltzmann law, the Planck distribution, and Wien’s displacement law. This chapter also discusses the effects of a possible internal dynamics of the constituent molecules on the thermodynamic properties of a gas. Finally, it extends the theory of the perfect gas to dilute solutions.
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