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Parameter space of Morse oscillator

We present an analysis of the mathematical structure of SU(2) group, specifically the commutation relation between the raising and lowering operators of the Morse oscillator. The connection between the commutator of operators and the parameters of a Morse oscillator is investigated. We show that the...

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Main Authors: Yang, T. Min, M. S., Nurisya
Format: Article
Language:English
Published: Malaysian Institute of Physics 2023
Online Access:http://psasir.upm.edu.my/id/eprint/110211/1/110211.pdf
http://psasir.upm.edu.my/id/eprint/110211/
https://ifmmy.sharepoint.com/:b:/r/sites/jurnal-fizik-malaysia/Shared%20Documents/JFM%20Published%20Papers/Volume%2044%20Issue%201%20(2023)/jfm2023_Vol44No1_10001.pdf?csf=1&web=1&e=aTpsBj
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spelling my.upm.eprints.1102112024-09-10T01:44:17Z http://psasir.upm.edu.my/id/eprint/110211/ Parameter space of Morse oscillator Yang, T. Min M. S., Nurisya We present an analysis of the mathematical structure of SU(2) group, specifically the commutation relation between the raising and lowering operators of the Morse oscillator. The connection between the commutator of operators and the parameters of a Morse oscillator is investigated. We show that the changes in parameter are important in the construction of the commutation relation. The parameter space of the Morse oscillator is visualized to scrutinize the mathematical relations that are related to the Morse oscillator. This parameter space is the space of possible parameter values that depend on the depth of the Morse potential well and other parameters. We discuss the plots of the parameter space in detail. The algorithm that we present is reliable to a large extent. It is also applicable to other quantum systems with certain modifications. Malaysian Institute of Physics 2023 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/110211/1/110211.pdf Yang, T. Min and M. S., Nurisya (2023) Parameter space of Morse oscillator. Jurnal Fizik Malaysia, 44 (1). pp. 10001-100012. ISSN 0128-0333 ; EISSN: 2590-4191 https://ifmmy.sharepoint.com/:b:/r/sites/jurnal-fizik-malaysia/Shared%20Documents/JFM%20Published%20Papers/Volume%2044%20Issue%201%20(2023)/jfm2023_Vol44No1_10001.pdf?csf=1&web=1&e=aTpsBj
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description We present an analysis of the mathematical structure of SU(2) group, specifically the commutation relation between the raising and lowering operators of the Morse oscillator. The connection between the commutator of operators and the parameters of a Morse oscillator is investigated. We show that the changes in parameter are important in the construction of the commutation relation. The parameter space of the Morse oscillator is visualized to scrutinize the mathematical relations that are related to the Morse oscillator. This parameter space is the space of possible parameter values that depend on the depth of the Morse potential well and other parameters. We discuss the plots of the parameter space in detail. The algorithm that we present is reliable to a large extent. It is also applicable to other quantum systems with certain modifications.
format Article
author Yang, T. Min
M. S., Nurisya
spellingShingle Yang, T. Min
M. S., Nurisya
Parameter space of Morse oscillator
author_facet Yang, T. Min
M. S., Nurisya
author_sort Yang, T. Min
title Parameter space of Morse oscillator
title_short Parameter space of Morse oscillator
title_full Parameter space of Morse oscillator
title_fullStr Parameter space of Morse oscillator
title_full_unstemmed Parameter space of Morse oscillator
title_sort parameter space of morse oscillator
publisher Malaysian Institute of Physics
publishDate 2023
url http://psasir.upm.edu.my/id/eprint/110211/1/110211.pdf
http://psasir.upm.edu.my/id/eprint/110211/
https://ifmmy.sharepoint.com/:b:/r/sites/jurnal-fizik-malaysia/Shared%20Documents/JFM%20Published%20Papers/Volume%2044%20Issue%201%20(2023)/jfm2023_Vol44No1_10001.pdf?csf=1&web=1&e=aTpsBj
_version_ 1811686060104613888
score 13.211869

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