| Issue |
EPL
Volume 141, Number 4, February 2023
|
|
|---|---|---|
| Article Number | 40003 | |
| Number of page(s) | 6 | |
| Section | General physics | |
| DOI | https://doi.org/10.1209/0295-5075/acb798 | |
| Published online | 08 February 2023 | |
Quasi-exact treatment of non-relativistic generalized hyperbolic potentials
1 Maharaja Sriram Chandra Bhanja Deo University Takatpur - Baripada-757003 Odisha, India
2 Faculty of Physics, Shahrood University of Technology - Shahrood, P. O. Box: 3619995161-316, Iran
(a) E-mail: biswanathrath10@gmail.com (corresponding author)
(b) E-mail: pa.sedaghatnia@gmail.com
(c) E-mail: h.hasanabadi@shahroodut.ac.ir
Received: 23 November 2022
Accepted: 31 January 2023
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.
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