Semiclassical quantization of a system with mixed regular/chaotic dynamics
Fachbereich Physik, Universität Kaiserslautern - D-67653 Kaiserslautern, Germany
2 Department of Chemistry and Minerva Center for Non Linear Physics of Complex Systems Technion-Israel Institute of Technology - Haifa 32000, Israel
Accepted: 10 September 1998
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.
PACS: 05.45.+b – Theory and models of chaotic systems / 03.65.Sq – Semiclassical theories and applications
© EDP Sciences, 1998