Exact Solutions of the Razavy Cosine Type Potential

Shishan Dong, Qian Dong, Guo Hua Sun, S. Femmam, Shi Hai Dong

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

We solve the quantum system with the symmetric Razavy cosine type potential and find that its exact solutions are given by the confluent Heun function. The eigenvalues are calculated numerically. The properties of the wave functions, which depend on the potential parameter a, are illustrated for a given potential parameter ξ. It is shown that the wave functions are shrunk to the origin when the potential parameter a increases. We note that the energy levels ϵi (i∈[1,3]) decrease with the increasing potential parameter a but the energy levels ϵi (i∈[4,7]) first increase and then decrease with the increasing a.

Original languageEnglish
Article number5824271
JournalAdvances in High Energy Physics
Volume2018
DOIs
StatePublished - 2018

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