Affiliation:
1. College of Chemistry, Beijing Normal University, Beijing 100875, China
Abstract
The quantum version of parametric resonance of the harmonic oscillator is studied in terms of Feynman's propagator method and a discrete map. The eigenfunctions and eigenvalues of the Floquet operator are derived explicitly. The solutions follow the general laws: In the regions of parametric resonance the spectrum of the Floquet operator becomes continuous, while it is pointlike in the stable regimes. The Gaussian wave packet undergoes spreading exponentially and linearly in the two regimes, respectively.
Publisher
World Scientific Pub Co Pte Lt
Subject
Computational Theory and Mathematics,Physical and Theoretical Chemistry,Computer Science Applications
Cited by
1 articles.
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