EBK quantization of quasi-energies

F. Bensch; H. J. Korsch; B. Mirbach; N. Ben-Tal

doi:10.1088/0305-4470/25/24/027

EBK quantization of quasi-energies

F. Bensch^*, H. J. Korsch, B. Mirbach, N. Ben-Tal

^*Corresponding author for this work

Biochemistry Molecular Biology

The University of Kaiserslautern-Landau

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

The semiclassical Einstein-Brillouin Keller vortex tube quantization for the quasi-energies in time-periodic Hamiltonians is studied for typical systems, when the vortex tubes of the quantizing tubes may have complicated structures in extended phase space. Numerical application to a periodically driven Duffing (quartic) oscillator yields semiclassical quasi-energies in excellent agreement with the exact quantum mechanical ones for the regular states.

Original language	English
Article number	027
Pages (from-to)	6761-6777
Number of pages	17
Journal	Journal of Physics A: Mathematical and General
Volume	25
Issue number	24
DOIs	https://doi.org/10.1088/0305-4470/25/24/027
State	Published - 1992

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10.1088/0305-4470/25/24/027

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abstract = "The semiclassical Einstein-Brillouin Keller vortex tube quantization for the quasi-energies in time-periodic Hamiltonians is studied for typical systems, when the vortex tubes of the quantizing tubes may have complicated structures in extended phase space. Numerical application to a periodically driven Duffing (quartic) oscillator yields semiclassical quasi-energies in excellent agreement with the exact quantum mechanical ones for the regular states.",

author = "F. Bensch and Korsch, {H. J.} and B. Mirbach and N. Ben-Tal",

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AB - The semiclassical Einstein-Brillouin Keller vortex tube quantization for the quasi-energies in time-periodic Hamiltonians is studied for typical systems, when the vortex tubes of the quantizing tubes may have complicated structures in extended phase space. Numerical application to a periodically driven Duffing (quartic) oscillator yields semiclassical quasi-energies in excellent agreement with the exact quantum mechanical ones for the regular states.

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EBK quantization of quasi-energies

Abstract

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