The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass
Quantum Physics
2022-11-24 v2 Other Condensed Matter
Mathematical Physics
math.MP
Abstract
The phase space representation for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. We have found the Husimi distribution function for the stationary states of the oscillator model under consideration for both cases without and with the applied external homogeneous field. The obtained function is expressed through the double sum of the parabolic cylinder function. Different special cases and the limit relations are discussed, too.
Keywords
Cite
@article{arxiv.2204.02039,
title = {The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass},
author = {E. I. Jafarov and A. M. Jafarova and S. M. Nagiyev},
journal= {arXiv preprint arXiv:2204.02039},
year = {2022}
}
Comments
13 pages, 12 figures