Acta Physica Sinica

Exact solution for a harmonic oscillator with a time-dependent inverse square po tential by path-integral

Ping Wang, Yang Xin-E, Song Xiao-Hui, 天津大学理学院应用物理系，天津 300072

Published Jan 1, 2003• 3 citations

Abstract

Using coordinate-transformation we transformed a harmonic oscillator with time-d ependent mass and a time-dependent inverse potential into a harmonic oscillator with time-independent mass and a time-independent inverse potential accordingly. In terms of the relation between these two different harmonic oscillators' prop agators we derived the exact wavefunction of the former by Feynman path-integral . We also discussed the harmonic oscillator with more additional potentials.

DOI: 10.7498/aps.52.2957

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