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Theory of Chaos in the Atomic Hydrogen

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The Hydrogen Atom

Abstract

Investigations on the possibility of quantum chaotic behaviour have now grown into an autonomous field of research, usually referred to as ‘Quantum Chaos’ /1,2/. Arguments under current investigation range from issues of a mostly foundational flavour to others directly related to the phenomenology of microsystems. Indeed, some very actual problems in Quantum Chaos are of direct interest to molecular and atomic physics, to solid state physics and to quantum optics. Such problems are currently being investigated in close connection with experimental research and are of major applicative interest.

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References

  1. Proceedings of the NATO ARW on Chaotic Behaviour on Quantum Dynamics, Como, June 1983, edited by G. Casati, Plenum Press, NATO ASI Series B120, (1985).

    Google Scholar 

  2. Quantum Chaos und Statistical Nuclear Physics, eds T, H. Seligman and H. Nishioka, LootUroo Notes in Physics, 263, ( Springer, Berlin 1966 )

    Google Scholar 

  3. J.E. Bayfield and P.M. Koch, PhyS, Rev. Lett. 33(1974) 258.

    Article  ADS  Google Scholar 

  4. J.E. Bayfield and D.W. Sokol: Excited Atoms in Strong Microwaves: Classical Resonances and Localization in Experimental Final State Distributions (Preprint).

    Google Scholar 

  5. J. E. Bayfield, G. Casati, l. Guarneri and D.V. Sokol: Localization of Classically Chaotic Diffusion for Hydrogen Atoms in Microwave Fields. Preprint.

    Google Scholar 

  6. G. Casati, B.V. Chirikov, F.M. lzrailev, J. Ford in Stochastic Behaviour in Classical und Quantum Hamiltonian Systems, Como, Juno 1977 Lectures Notes in Physics, Springer 93 (1979), 334.

    Article  ADS  Google Scholar 

  7. B.V. Chirikov, F.M. Izrailev, D.L. Ohopolyuooky, Soviet Scientific: Review 2C: (1901), 209.

    Google Scholar 

  8. S. FiShman D.R. Grempel, R.E. Prange, PÓUS. Rev. L0tt.49(l9O2), 509: Phys. Rev. A. 29 (1984), 1639.

    Google Scholar 

  9. D.L. Shepelyansky, Physica, 8D (1983), 208.

    Google Scholar 

  10. G. Casati, J. Ford, I. Guarneri, F. Vivaldi, Phys. Rev. A 34 (1986) 1413.

    Google Scholar 

  11. K.A.H. Van Leeuven, G.V. Oppen, S. Renwick, J.B. Bowlin, P.M. Koch, R.V. Jensen, O. Rath, D. Richards and G. Leopold, PkyS, Rev. Lett. Vol 55. (1985) 2231.

    Google Scholar 

  12. G. Casati, I. Guarneri and D.L. Shepelyansky, Phys. Rev. A 36 (l907) 3501.

    Google Scholar 

  13. G. Casati, I. Guarneri, D.L. Shepelyansky: Hydrogen Atom in Monochromatic Field: Chaos and Dynamical Photonic Localization, IEEE Journal of Quantum Electronics (July 1988).

    Google Scholar 

  14. G. Casati, B.V. Chirkov, Guarneri, D.L. 5hepelyansky: Relevance of classical chaos in quantum mechanics: the atom 1D a monochromatic field, Physics Reports 154 (1987) 77.

    Article  ADS  Google Scholar 

  15. R. Blumel, V. Smilansky, Phys. Rev. Lett. 58 (1987) 2531.

    Article  ADS  Google Scholar 

  16. G. Casati, B.V. Chirkov, D.L. Shepelyansky, Phys. Rev. Lett. 53 (1984) 2525.

    Article  ADS  Google Scholar 

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© 1989 Springer-Verlag Berlin, Heidelberg

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Casati, G. (1989). Theory of Chaos in the Atomic Hydrogen. In: Bassani, G.F., Inguscio, M., Hänsch, T.W. (eds) The Hydrogen Atom. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88421-4_30

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  • DOI: https://doi.org/10.1007/978-3-642-88421-4_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-88423-8

  • Online ISBN: 978-3-642-88421-4

  • eBook Packages: Springer Book Archive

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