Abstract
The study of deterministic chaos in classical mechanics has by now grown into a popular area of research. However, its implications at the microscopic level, in the domain of quantum mechanics, only recently attracted much attention. This is a quite important problem; indeed, the analysis of quantum systems which are chaotic in the classical limit is leading to new qualitative features of quantum motion which are now the object of laboratory experiments and which cannot be predicted on the basis of a qualitative understanding modelled after integrable systems and perturbation theory.
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References
To avoid a long list, we refer to the following two papers in which a fairly large, up-to-date list of references can be found. G. Casati, B.V. Chirikov, I. Guarneri, D.L. Shepelyansky Physics Reports 154 (1987), 77. G. Casati, I. Guarneri, D.L. Shepelyansky, “Hydrogen Atom in Monochromatic Field: Chaos and Dynamical Photonic Localization”, to appear in the special issue of the IEEE Journal of Quantum Electronics on the “Quantum and Nonlinear Optics of Single Atoms, Ions, and Electrons”
P.M. Koch, K.A.H. Van Leeuwen, O. Rath, D. Richards and R.V. Jensen, in the Physics of Phase Space, Lectures Notes in Physics vol. 278, Springer, 1987, page 106.
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© 1988 Springer-Verlag Berlin Heidelberg
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Casati, G. (1988). Relevance of Classical Chaos in Quantum Mechanics. In: Jullien, R., Peliti, L., Rammal, R., Boccara, N. (eds) Universalities in Condensed Matter. Springer Proceedings in Physics, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51005-2_44
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DOI: https://doi.org/10.1007/978-3-642-51005-2_44
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