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Semiclassical Quantization of a System with Mixed Regular/Chaotic Dynamics

  • The quasienergy spectrum of a periodically driven quantum system is constructed from classical dynamics by means of the semiclassical initial value representation using coherent states. For the first time, this method is applied to explicitly time dependent systems. For an anharmonic oscillator system with mixed chaotic and regular classical dynamics, the entire quantum spectrum (both regular and chaotic states) is reproduced semiclassically with surprising accuracy. In particular, the method is capable to account for the very small tunneling splittings.

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Author:Hans Jürgen Korsch, J. L. Schoendorff, Nimrod Moiseyev
Document Type:Article
Language of publication:English
Year of Completion:1998
Year of Publication:1998
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):1998/03/17
Tag:chaos; initial value representation; quantum mechanics; quasienergy; semiclassical
Faculties / Organisational entities:Fachbereich Physik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 530 Physik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011