ISSN:
1572-9613
Keywords:
Fermi accelerator model
;
Liouville transform
;
chaos
;
quantum time-periodic Hamiltonian
;
semiclassical limit
;
Floquet operator
;
quasienergy spectrum
;
Husimi distribution
;
scars
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A classical Fermi accelerator model (FAM) is known to show chaotic behavior. The FAM is defined by a free particle bouncing elastically from two rigid walls, one fixed and the other oscillating periodically in time. The central aim of this paper is to connect the quantum and the classical solutions to the FAM in the semiclassical limit. This goal is accomplished using a finite inverted parametric oscillator (FIPO), confined to a box withfixed walls, as an alternative representation of the FAM. In the FIPO representation, an explicit correspondence between classical and quantum limits is accomplished using a Husimi representation of the quasienergy eigenfunctions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01048840
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