Exact Solutions of the Razavy Cosine Type Potential
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 g...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/5824271 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562162727387136 |
|---|---|
| author | Shishan Dong Qian Dong Guo-Hua Sun S. Femmam Shi-Hai Dong |
| author_facet | Shishan Dong Qian Dong Guo-Hua Sun S. Femmam Shi-Hai Dong |
| author_sort | Shishan Dong |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f07535c863b04bd7aee617e7710d8aa6 |
| institution | Kabale University |
| 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-f07535c863b04bd7aee617e7710d8aa62025-02-03T01:23:18ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/58242715824271Exact Solutions of the Razavy Cosine Type PotentialShishan Dong0Qian Dong1Guo-Hua Sun2S. Femmam3Shi-Hai Dong4Information and Engineering College, Dalian University, Dalian 116622, ChinaLaboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, MexicoCatedrática CONACYT, CIC, Instituto Politécnico Nacional, CDMX 07738, MexicoUHA University and Polytechnic Engineers School, Sceaux, FranceLaboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, MexicoWe 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.http://dx.doi.org/10.1155/2018/5824271 |
| spellingShingle | Shishan Dong Qian Dong Guo-Hua Sun S. Femmam Shi-Hai Dong Exact Solutions of the Razavy Cosine Type Potential Advances in High Energy Physics |
| title | Exact Solutions of the Razavy Cosine Type Potential |
| title_full | Exact Solutions of the Razavy Cosine Type Potential |
| title_fullStr | Exact Solutions of the Razavy Cosine Type Potential |
| title_full_unstemmed | Exact Solutions of the Razavy Cosine Type Potential |
| title_short | Exact Solutions of the Razavy Cosine Type Potential |
| title_sort | exact solutions of the razavy cosine type potential |
| url | http://dx.doi.org/10.1155/2018/5824271 |
| work_keys_str_mv | AT shishandong exactsolutionsoftherazavycosinetypepotential AT qiandong exactsolutionsoftherazavycosinetypepotential AT guohuasun exactsolutionsoftherazavycosinetypepotential AT sfemmam exactsolutionsoftherazavycosinetypepotential AT shihaidong exactsolutionsoftherazavycosinetypepotential |