Dynamical chaos: applications to some optical problems

Klimenty N. Yugay

doi:10.1117/12.131176

1 July 1992 Dynamical chaos: applications to some optical problems

Klimenty N. Yugay

Author Affiliations +

Proceedings Volume 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy; (1992) https://doi.org/10.1117/12.131176
Event: Tenth All-Union Symposium and School on High Resolution Molecular Spectroscopy, 1991, Omsk, Russian Federation

Abstract

One of the optical problems of quantum optics is interaction of an atom or molecule with a strong harmonic electrical field. It has acquired a new importance in connection with a deep ani6interesting phenomenon of dynamical chaos discovered in this systems lately. This phenomenon take place only in nonlinear systems. The conception of "nonlinear systems" is widespread in quantum mechanics. But first of all it is necessary to attract attention to one important point : the equat ions of quantum mechanics are 1 inear in a rigour statement of a problem, but they might be nonl inear in phenomeno logical theories such as Ginzburg-Landau theory of superconductivity. The nonlinearity of equations of quantum mechanics relative to the electric field or other characteristics of the Hamiltonian can not lead to bifurcations and thus to the dynamical chaos . Therefore the quantum chaos , i . e. the dynami cal chaos in quantum systems, can take place only in the classical limit in which the appropriate equations are nonlinear.

Citation Download Citation

Klimenty N. Yugay "Dynamical chaos: applications to some optical problems", Proc. SPIE 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy, (1 July 1992); https://doi.org/10.1117/12.131176

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