Physica Scripta

Path integral approach to the general driven time-dependent harmonic oscillator and squeezed state

Jing‐Bo Xu, ZHANG XUN-SHENG, Shangbin Li

Published Sep 1, 1997• 3 citations

Abstract

The time evolution of the general driven time-dependent harmonic oscillator is studied and the propagator and wave function are obtained by using a generalized canonical transformation and path integral method. We then proceed to construct the squeezed states for the system by making use of the wave function. The damped driven harmonic oscillator and the harmonic oscillator with strongly pulsating mass under the action of an arbitrary driving force are discussed as illustrative examples.

DOI: 10.1088/0031-8949/56/3/001

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