Exact solutions of the Razavy cosine type potential
type: Item
instance of: scholarly article
title: Exact solutions of the Razavy cosine type potential
zbMATH Open document ID: 1402.81129
DOI: 10.1155/2018/5824271
author: Shishan Dong
author: Qian Dong
author: G.-H. Sun
author: Shi-Hai Dong
author: Smain Femmam
published in: Advances in High Energy Physics
publication date: 2018-11-26T00:00:00Z
review text: Summary: 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 \(\xi\). It is shown that the wave functions are shrunk to the origin when the potential parameter \(a\) increases. We note that the energy levels \(\varepsilon_i\) (\(i \in [1,3]\)) decrease with the increasing potential parameter \(a\) but the energy levels \(\varepsilon_i\) (\(i \in [4,7]\)) first increase and then decrease with the increasing \(a\).
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81Q80
zbMATH DE Number: 6984800
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5824271
OpenAlex ID: W2894693464
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Wikidata QID: Q129144629
description: scientific article; zbMATH DE number 6984800