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Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group

The purpose of this work is to investigate the mathematical structure of finite quantum angular momentum in a specific direction L3 which can be constructed from the representation of the U(1) group. The angular momentum eigenstate is invariant under Abelian rotation symmetry. The character group of...

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Main Authors: Rosli, Ahmad Aqwa, Mohd Shah, Nurisya
Format: Article
Language:English
Published: Faculty of Science, Universiti Malaya 2024
Subjects:
Mathematical physics
Quantum theory
Online Access:http://psasir.upm.edu.my/id/eprint/114376/1/114376.pdf
http://psasir.upm.edu.my/id/eprint/114376/
https://mjs.um.edu.my/index.php/MJS/article/view/44397
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id my.upm.eprints.114376
record_format eprints
spelling my.upm.eprints.1143762025-01-20T00:50:28Z http://psasir.upm.edu.my/id/eprint/114376/ Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group Rosli, Ahmad Aqwa Mohd Shah, Nurisya The purpose of this work is to investigate the mathematical structure of finite quantum angular momentum in a specific direction L3 which can be constructed from the representation of the U(1) group. The angular momentum eigenstate is invariant under Abelian rotation symmetry. The character group of U(1) is constructed to show that there exists an additive unitary operator for the angular momentum eigenstate, and the rotation eigenstate is invariant under it. The Weyl relation is proved by showing that the angle eiϕ and angular momentum L3 are the canonical conjugate pair of observables © 2024 Faculty of Science, Universiti Malaya. All rights reserved. Faculty of Science, Universiti Malaya 2024-09 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114376/1/114376.pdf Rosli, Ahmad Aqwa and Mohd Shah, Nurisya (2024) Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group. Malaysian Journal of Science, 43 (3). pp. 56-58. ISSN 1394-3065; eISSN: 2600-8688 https://mjs.um.edu.my/index.php/MJS/article/view/44397 Mathematical physics Quantum theory 10.22452/mjs.vol43no3.7
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
topic Mathematical physics
Quantum theory
spellingShingle Mathematical physics
Quantum theory
Rosli, Ahmad Aqwa
Mohd Shah, Nurisya
Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group
description The purpose of this work is to investigate the mathematical structure of finite quantum angular momentum in a specific direction L3 which can be constructed from the representation of the U(1) group. The angular momentum eigenstate is invariant under Abelian rotation symmetry. The character group of U(1) is constructed to show that there exists an additive unitary operator for the angular momentum eigenstate, and the rotation eigenstate is invariant under it. The Weyl relation is proved by showing that the angle eiϕ and angular momentum L3 are the canonical conjugate pair of observables © 2024 Faculty of Science, Universiti Malaya. All rights reserved.
format Article
author Rosli, Ahmad Aqwa
Mohd Shah, Nurisya
author_facet Rosli, Ahmad Aqwa
Mohd Shah, Nurisya
author_sort Rosli, Ahmad Aqwa
title Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group
title_short Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group
title_full Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group
title_fullStr Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group
title_full_unstemmed Constructing quantum angular momentum l̂3 in a specific direction by using the U(1) group
title_sort constructing quantum angular momentum l̂3 in a specific direction by using the u(1) group
publisher Faculty of Science, Universiti Malaya
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/114376/1/114376.pdf
http://psasir.upm.edu.my/id/eprint/114376/
https://mjs.um.edu.my/index.php/MJS/article/view/44397
_version_ 1823093137072979968
score 13.235362

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