Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass

• URL: http://arxiv.org/abs/2305.11702v1
• Date: Fri, 19 May 2023 14:30:04 GMT
• Title: Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass
• Authors: E.I. Jafarov and S.M. Nagiyev
• Abstract summary: We have found three basis elements of this algebra. The algebra defined through those basis elements is a $mathfraksuleft (1,1 right)$ Heisenberg-Lie algebra.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Dynamical symmetry algebra for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. Selecting the starting point as a well-known factorization method of the Hamiltonian under consideration, we have found three basis elements of this algebra. The algebra defined through those basis elements is a $\mathfrak{su}\left(1,1 \right)$ Heisenberg-Lie algebra. Different special cases and the limit relations from the basis elements to the Heisenberg-Weyl algebra of the non-relativistic quantum harmonic oscillator are discussed, too.

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