Semiexact Solutions of the Razavy Potential
In this work, we study the quantum system with the symmetric Razavy potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun functions. The eigenvalues have to be calculated numerically. The properties of the wave functions depending on m are ill...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/9105825 |
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| author | Qian Dong F. A. Serrano Guo-Hua Sun Jian Jing Shi-Hai Dong |
| author_facet | Qian Dong F. A. Serrano Guo-Hua Sun Jian Jing Shi-Hai Dong |
| author_sort | Qian Dong |
| collection | DOAJ |
| description | In this work, we study the quantum system with the symmetric Razavy potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun functions. The eigenvalues have to be calculated numerically. The properties of the wave functions depending on m are illustrated graphically for a given potential parameter ξ. We find that the even and odd wave functions with definite parity are changed to odd and even wave functions when the potential parameter m increases. This arises from the fact that the parity, which is a defined symmetry for very small m, is completely violated for large m. We also notice that the energy levels ϵi decrease with the increasing potential parameter m. |
| format | Article |
| id | doaj-art-888719da95f54b06b2dbb4d62f6a7cfa |
| institution | OA Journals |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-888719da95f54b06b2dbb4d62f6a7cfa2025-08-20T02:09:17ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/91058259105825Semiexact Solutions of the Razavy PotentialQian Dong0F. A. Serrano1Guo-Hua Sun2Jian Jing3Shi-Hai Dong4Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, MexicoEscuela Superior de Ingeniera Mecánica y Eléctrica UPC, Instituto Politécnico Nacional, Av. Santa Ana 1000, México, D. F. 04430, MexicoCatedrática CONACYT, CIC, Instituto Politécnico Nacional, CDMX 07738, MexicoDepartment of Physics and Electronic, School of Science, Beijing University of Chemical Technology, Beijing 100029, ChinaLaboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, MexicoIn this work, we study the quantum system with the symmetric Razavy potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun functions. The eigenvalues have to be calculated numerically. The properties of the wave functions depending on m are illustrated graphically for a given potential parameter ξ. We find that the even and odd wave functions with definite parity are changed to odd and even wave functions when the potential parameter m increases. This arises from the fact that the parity, which is a defined symmetry for very small m, is completely violated for large m. We also notice that the energy levels ϵi decrease with the increasing potential parameter m.http://dx.doi.org/10.1155/2018/9105825 |
| spellingShingle | Qian Dong F. A. Serrano Guo-Hua Sun Jian Jing Shi-Hai Dong Semiexact Solutions of the Razavy Potential Advances in High Energy Physics |
| title | Semiexact Solutions of the Razavy Potential |
| title_full | Semiexact Solutions of the Razavy Potential |
| title_fullStr | Semiexact Solutions of the Razavy Potential |
| title_full_unstemmed | Semiexact Solutions of the Razavy Potential |
| title_short | Semiexact Solutions of the Razavy Potential |
| title_sort | semiexact solutions of the razavy potential |
| url | http://dx.doi.org/10.1155/2018/9105825 |
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