Translational invariance in the kicked harmonic oscillator

摘要

Analysis of the quantum kicked harmonic oscillator in the condition of resonance ( omega 0T=2 pi /q) is approached in this paper. We extend the 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.