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

Abstract

In this work, we present the analytical approach to 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 the an-harmonic parts of the oscillator. We present the an-harmonic part of the result in the form of the operator function.

40 pages, revised argument in Appendix F, results unchanged

References in corpus (3)

• Umbral Calculus, a Different Mathematical Language
• The functional integral with unconditional Wiener measure for anharmonic oscillator
• Time dependent propagator for an-harmonic oscillator with quartic term in potential

Cited by in corpus (1)

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