Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups-Reference-Cited by-同舟云学术

Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups

Published:2023-11-01 Issue:11 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Nikitin A. G.¹²^ORCID

Affiliation:

1. Institute of Mathematics, National Academy of Sciences of Ukraine , 3 Tereshchenkivs’ka Street, Kyiv-4 01024, Ukraine and , viale T. Michel 11, 15121 Alessandria, Italy

2. Universitá del Piemonte Orientale, Dipartimento di Scienze e Innovazione Tecnologica , 3 Tereshchenkivs’ka Street, Kyiv-4 01024, Ukraine and , viale T. Michel 11, 15121 Alessandria, Italy

Abstract

Quantum mechanical systems with position dependent masses (PDM) admitting four and more dimensional symmetry algebras are classified. Namely, all PDM systems are specified which, in addition to their invariance with respect to a three parametric Lie group, admit at least one second order integral of motion. The presented classification is partially extended to the more generic systems which admit one or two parametric Lie groups.

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0147792/19473062/113505_1_5.0147792.pdf

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