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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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Main Author: Rajesh Kumar, P.
Format: Article
Published: EDP Sciences, Società Italiana di Fisica and Springer Berlin Heidelberg 2022
Subjects:
QC Physics
Online Access:https://www.springer.com/journal/13360
http://library.oum.edu.my/repository/1474/
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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 http://library.oum.edu.my/repository/1474/
institution Open University Malaysia
building OUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Open University Malaysia
content_source OUM Knowledge Repository
url_provider http://library.oum.edu.my/repository/
topic QC Physics
spellingShingle QC Physics
Rajesh Kumar, P.
An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method.
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
author Rajesh Kumar, P.
author_facet Rajesh Kumar, P.
author_sort Rajesh Kumar, P.
title 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_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_sort improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the nufa method.
publisher EDP Sciences, Società Italiana di Fisica and Springer Berlin Heidelberg
publishDate 2022
url https://www.springer.com/journal/13360
http://library.oum.edu.my/repository/1474/
_version_ 1756062673741545472
score 13.209306

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