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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