Construction of potential functions associated with a given energy spectrum — An inverse problem II-Reference-Cited by-同舟云学术

Construction of potential functions associated with a given energy spectrum — An inverse problem II

Published:2020-09-24 Issue:27 Volume:35 Page:2050159
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Alhaidari Abdulaziz D.¹^ORCID,Aounallah Houcine²

Affiliation:

1. Saudi Center for Theoretical Physics, P.O. Box 32741, Jeddah 21438, Saudi Arabia

2. Department of Science and Technology, Larbi Tebessi University, 12000 Tebessa, Algeria

Abstract

We continue our solution of the inverse problem started by the first author in [Int. J. Mod. Phys. A 35, 2050104 (2020)]. Additional potential functions for exactly solvable problems that correspond to the same energy spectrum formula but for different energy polynomials and bases are found. In this work, we obtain a class of potential functions associated with the Wilson polynomial and “Jacobi basis.”

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X20501596

Reference17 articles.

1. Construction of potential functions associated with a given energy spectrum — An inverse problem

2. Quantum mechanics without potential function

3. Wilson-Racah quantum system

4. Quantum Systems Associated with the Hahn and Continuous Hahn Polynomials

5. Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters

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