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Quantum Physics

arXiv:2204.02039 (quant-ph)
[Submitted on 5 Apr 2022 (v1), last revised 20 Jun 2022 (this version, v2)]

Title:The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

Authors:E.I. Jafarov, A.M. Jafarova, S.M. Nagiyev
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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.
Comments: 13 pages, 12 figures
Subjects: Quantum Physics (quant-ph); Other Condensed Matter (cond-mat.other); Mathematical Physics (math-ph)
MSC classes: 81S30, 33C10, 33C45
Cite as: arXiv:2204.02039 [quant-ph]
  (or arXiv:2204.02039v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2204.02039
Journal reference: International Journal of Modern Physics B Vol. 36, No. 31 (2022) 2250227 (20 pages)
Related DOI: https://doi.org/10.1142/S0217979222502277

Submission history

From: Elchin Jafarov [view email]
[v1] Tue, 5 Apr 2022 08:10:45 UTC (536 KB)
[v2] Mon, 20 Jun 2022 08:07:05 UTC (783 KB)
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