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

Abdulaziz D. Alhaidari

http://orcid.org/0000-0002-8648-9040

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

E-mail Address: haidari@sctp.org.sa

Corresponding author.

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and

Houcine Aounallah

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

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https://doi.org/10.1142/S0217751X20501596Cited by:4 (Source: Crossref)

Abstract

We continue our solution of the inverse problem started by the first author in [Int. J. Mod. Phys. A35, 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.”

Keywords:

PACS: 03.65.Ca, 03.65.Fd, 03.65.Ge

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