Quasi-exact treatment of non-relativistic generalized hyperbolic potentials. (1st February 2023)

• Record Type: Journal Article
• Authors: Rath, Biswanath; Sedaghatnia, Parisa; Hassanabadi, Hassan
• Is Part Of: Europhysics letters. Volume 141:Number 4(2023)
• Publication Date: 2023-02-01
• Subjects: Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/acb798
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: 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.