BIFURCATION OF QUANTUM NONLINEAR RESONANCES INDUCED BY A TIME-PERIODIC VECTOR POTENTIAL

Authors
REE S REICHL LE
Citation
S. Ree et Le. Reichl, BIFURCATION OF QUANTUM NONLINEAR RESONANCES INDUCED BY A TIME-PERIODIC VECTOR POTENTIAL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 2409-2415
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
3
Year of publication
1997
Part
A
Pages
2409 - 2415
Database
ISI
SICI code
1063-651X(1997)55:3<2409:BOQNRI>2.0.ZU;2-9
Abstract
The quantum mechanics of a two-dimensional ideal electron Fermi gas in a cylindrical cavity in the presence of a weak time-periodic vector p otential is studied. Floquet eigenstates are obtained numerically and Husimi distribution functions are used to show the bifurcation and app earance of quantum nonlinear resonances. For electrons at the Fermi su rface, if the frequency of the vector potential omega(0) is lower than a certain critical frequency omega(cr) then there is no electron havi ng a primary resonance. If omega(0) is higher than omega(cr), electron s with certain angular momenta will have primary resonances.