Quasi-exact treatment of non-relativistic generalized hyperbolic potentials

The solution of the Schrödinger equation for the two quasi-exactly solvable potentials is presented using the Lie algebra approach. It is shown that all models give rise to the same basic differential equation which is quasi-exactly solvable. The eigenvalues, eigenfunctions and the allowed potential...

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Bibliographic Details
Published in:Europhysics letters 2023-02, Vol.141 (4), p.40003
Main Authors: Rath, Biswanath, Sedaghatnia, Parisa, Hassanabadi, Hassan
Format: Article
Language:English
Subjects:
Differential equations
Eigenvalues
Eigenvectors
Lie groups
Schrodinger equation
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Summary:The solution of the Schrödinger equation for the two quasi-exactly solvable potentials is presented using the Lie algebra approach. It is shown that all models give rise to the same basic differential equation which is quasi-exactly solvable. The eigenvalues, eigenfunctions and the allowed potential parameters are given for each of the two models in terms of the roots of a set of algebraic quasi-exact solvable methods.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/acb798