Break-down of classical-quantum correspondence for time-dependent Hamiltonian systems

Journal Article · Sat May 01 04:00:00 EDT 1993 · Bulletin of the American Physical Society

OSTI ID:281619

Melles, M; Reinhold, C; Burgdoerfer, J ^[1]

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1. Univ. of Tennessee, Knoxville, TN (United States)

We compare the classical and quantum evolution for the impulsively driven hydrogen atom which is subject to a sequence of periodic pulses ({open_quotes}kicks{close_quotes}). The classical system possesses a divided phase space with regions of regular and chaotic motion present. We solve the three-dimensional Schrodinger equation using a basis of {approx_equal}1000 states including pseudostates in the continuum. The dynamics is analyzed in terms of quasi-eigenstates and quasi-eigenenergies of the period-one evolution operator. We find a localization and stabilization in the quantum evolution due to the existence of resonances which are absent in the classical evolution. We show that the classical-quantum correspondence can be restored when quantum resonances are destroyed by a stochastic rather than a periodic sequence of kicks.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 281619
• Report Number(s): CONF-9305421--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 3 Vol. 38; ISSN BAPSA6; ISSN 0003-0503
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CALCULATION METHODS
EIGENSTATES
HAMILTONIANS
HYDROGEN
SCHROEDINGER EQUATION
TIME DEPENDENCE