Within the literature on quantum physics the word “semi-classical” is used both very often and with different meanings. But three situations are most commonly encountered: Firstly, quantum systems that are approximated by classical models at high ►quantum numbers. Secondly, the mathematical description of composite systems which can be simplified by dividing the problem into a classical and a quantum sector. And finally, open quantum systems which reveal classical properties in their interaction with a complex environment.
The various definitions of semi-classicality apply to a vast range of physical systems, covering quantum optics [1], atomic physics [2], molecular physics [3], mesoscopic and solid state physics [4] or even ►quantum gravity [5]. A recent and comprehensive resource letter by Gutzwiller [6] provides nearly four hundred commented references to important papers on that subject. And a number of these papers have been collected and reprinted in [7].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literature
P. Meystre, Murray III Sargent: Elements of Quantum Optics (Springer, Heidelberg, 2006)
B. G. Englert: Semiclassical Theory of Atoms, Lecture Notes in Physics (Springer, Heidelberg, 1988)
M. S. Child: Semiclassical Mechanics with Molecular Applications, Int. Ser. of Monographs on Chemistry (Clarendon Press, Oxford, 1991)
M. Brack, R. Bhaduri: Semiclassical Physics, Frontiers in Physics (Addison-Wesley, Reading, MA, 1997)
P. Fré, V. Gorini, G. Magli, U. Moschella (eds.): Classical and Quantum Black Holes, Studies in High Energy Physics, Cosmology and Gravitation (Institute of Physics Publishing, Bristol, 1999)
M. C. Gutzwiller, Resource letter ICQM-1: the interplay between classical and quantum mechanics. Am. J. Phys. 66, 304–324 (1998)
M. C. Gutzwiller: The Interplay Between Classical and Quantum Mechanics (American Association of Physics Teachers, College Park, MD, 2001)
C. Cohen-Tannoudji, B. Diu, F. Laloe: Quantum Mechanics (Wiley, New York, 2nd edn., 1991)
T. F. Gallagher: Review Article: Rydberg Atoms, Reports on Prog. Phys. 51, 143–188 (1988)
J. M. Raimond, M. Brune, S. Haroche: Manipulating quantum entanglement with atoms and photons in a cavity. Rev. Mod. Phys. 73, 565–582 (2001)
S. Chu: Cooling and trapping of atoms and biomolecules. Opt. Soc. Am. 559, 199 (1998)
H. Walther: Cavity quantum electrodynamics. Rep. Prog. Phys. 69, 1325–1382 (2006)
W. H. Zurek: Decoherence, Einselection, and the quantum origins of the classical. Rev. Mod. Phys. 75, 715–775 (2003)
D. Giulini, E. Joos, C. Kiefer, J. Kupsch, O. Stamatescu, H. D. Zeh: Decoherence and the Appearance of the Classical World in Quantum Theory (Springer, Berlin, 2003)
M. Brune, E. Hagley, J. Dreyer, X. Matre, A. Maali, C. Wunderlich, J. M. Raimond, S. Haroche: Observing the Progressive Decoherence of the “Meter” in a Quantum Measurement. Phys. Rev. Lett. 77, 4887–4890 (1996)
M. Arndt, K. Hornberger, A. Zeilinger: Probing the limits of the quantum world. Phys. World 18, 35–40 (2005)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Arndt, M. (2009). Semi-classical Models. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_197
Download citation
DOI: https://doi.org/10.1007/978-3-540-70626-7_197
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70622-9
Online ISBN: 978-3-540-70626-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)