Time-dependent propagator for an-harmonic oscillator with quartic term in potential

摘要

In this work, we present the analytical approach for the evaluation of the conditional measure Wiener path integral. We consider the time-dependent model parameters. We find the differential equation for the variable, determining the behavior of the harmonic as well as the an-harmonic parts of the oscillator. We present the an-harmonic part of the result in the form of the operator function. Published under license by AIP Publishing.