Time dependent propagator for an-harmonic oscillator with quartic term in potential
Mathematical Physics
2021-02-24 v1 math.MP
Quantum Physics
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.
Cite
@article{arxiv.2003.12323,
title = {Time dependent propagator for an-harmonic oscillator with quartic term in potential},
author = {J. Boháčik and P. Prešnajder and P. Augustín},
journal= {arXiv preprint arXiv:2003.12323},
year = {2021}
}
Comments
40 pages, revised argument in Appendix F, results unchanged