Work

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

Year: 2021

Type: article

Abstract: 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.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0018545

Authors: J. Boháčik, P. Prešnajder, P. Augustín

Institutions: Slovak Academy of Sciences, Institute of Physics of the Slovak Academy of Sciences, Comenius University Bratislava

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3013851792

FWCI: 0.343

Cites: 18

Cited by: 2

Related to: