Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Subject: | Mathematical physics |
| Subject: | Quantum theory |
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.22452/mjs.vol43no3.7 |
| Publisher: | Faculty of Science, Universiti Malaya |
| Keywords: | Character group; Group; Group representation; Quantum angular momentum |
| Depositing User: | Scopus |
| Date Deposited: | 17 Jan 2025 02:06 |
| Last Modified: | 20 Jan 2025 00:50 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.22452/mjs.vol43no3.7 |
| URI: | http://psasir.upm.edu.my/id/eprint/114376 |
| Statistic Details: | View Download Statistic |
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