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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Quantum harmonic oscillator in a strong electrostatic wave

Marco Frasca

Published Jul 1, 1992• 4 citations
Publisher
DOI
10.1007/bf02728571

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Physica Scripta•Sep 1, 1997•3 citations
In this paper, the propagator for a harmonic oscillator with mass obeying the function of m(t)=mtan2νt is derived by the Feynman path integral method. The wave function of this oscillator is calculated by expanding the obtained propagator. The propagator for a harmonic oscillator with strongly pulsating mass is evaluated by the Schwinger method. The propagator for a harmonic oscillator with mass rapidly growing with time is calculated by applying the integrals of the motion of quantum systems. The comparison between these methods are also discussed.