TRANSLATIONAL INVARIANCE IN THE KICKED HARMONIC-OSCILLATOR

Citation
F. Borgonovi et L. Rebuzzini, TRANSLATIONAL INVARIANCE IN THE KICKED HARMONIC-OSCILLATOR, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2302-2309
Citations number
17
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
52
Issue
3
Year of publication
1995
Part
A
Pages
2302 - 2309
Database
ISI
SICI code
1063-651X(1995)52:3<2302:TIITKH>2.0.ZU;2-S
Abstract
Analysis of the quantum kicked harmonic oscillator in the condition of resonance (omega(0)T=2 pi/q) is approached in this paper. We extend t he results found in Berman, Rubaev, and Zaslavsky [Nonlinearity 4, 543 (1991)] by relating the translational invariance of the qth power of the quasienergy operator with the spreading of the mean energy in time . These results are then confirmed by numerical simulations.