An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method.
The bound state is an intriguing quantum mechanics problem. In this paper, an improved and elegant quantum condition for the bound state problem in non-relativistic quantum mechanics using the Nikiforov-Uvarov functional analysis (NUFA) method is presented. From the quantum condition, two simple for...
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EDP Sciences, Società Italiana di Fisica and Springer Berlin Heidelberg
2022
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| Online Access: | https://www.springer.com/journal/13360 https://library.oum.edu.my/repository/1474/ |
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| _version_ | 1831339134512267264 |
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| author | Rajesh Kumar, P. |
| author_facet | Rajesh Kumar, P. |
| author_sort | Rajesh Kumar, P. |
| building | OUM Library |
| collection | Institutional Repository |
| content_provider | Open University Malaysia |
| content_source | OUM Knowledge Repository |
| continent | Asia |
| country | Malaysia |
| description | The bound state is an intriguing quantum mechanics problem. In this paper, an improved and elegant quantum condition for the bound state problem in non-relativistic quantum mechanics using the Nikiforov-Uvarov functional analysis (NUFA) method is presented. From the quantum condition, two simple formulas are obtained to calculate the energy spectrum for the bound state problem, one for the case when the parameter α3≠0 and the other when α3→0. The corresponding eigenstates are also derived in terms of hypergeometric functions. Two bound state problems are studied using the improved quantum condition. (Abstract by author) |
| format | Article |
| id | my.oum.1474 |
| institution | Open University Malaysia |
| publishDate | 2022 |
| publisher | EDP Sciences, Società Italiana di Fisica and Springer Berlin Heidelberg |
| record_format | eprints |
| spelling | my.oum.14742023-01-19T02:54:31Z An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. Rajesh Kumar, P. QC Physics The bound state is an intriguing quantum mechanics problem. In this paper, an improved and elegant quantum condition for the bound state problem in non-relativistic quantum mechanics using the Nikiforov-Uvarov functional analysis (NUFA) method is presented. From the quantum condition, two simple formulas are obtained to calculate the energy spectrum for the bound state problem, one for the case when the parameter α3≠0 and the other when α3→0. The corresponding eigenstates are also derived in terms of hypergeometric functions. Two bound state problems are studied using the improved quantum condition. (Abstract by author) EDP Sciences, Società Italiana di Fisica and Springer Berlin Heidelberg 2022 Article PeerReviewed https://www.springer.com/journal/13360 Rajesh Kumar, P. (2022) An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. European Physical Journal Plus, 137 (1). ISSN 2190-5444 https://library.oum.edu.my/repository/1474/ |
| spellingShingle | QC Physics Rajesh Kumar, P. An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. |
| title | An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. |
| title_full | An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. |
| title_fullStr | An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. |
| title_full_unstemmed | An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. |
| title_short | An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. |
| title_sort | improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the nufa method. |
| topic | QC Physics |
| url | https://www.springer.com/journal/13360 https://library.oum.edu.my/repository/1474/ |
| url_provider | http://library.oum.edu.my/repository/ |