CONSTRUCTING QUANTUM ANGULAR MOMENTUM L3 IN SPECIFIC DIRECTION BY USING U(1) GROUP

Authors

  • Ahmad Aqwa Rosli Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, MALAYSIA. https://orcid.org/0009-0007-0486-522X
  • Nurisya Mohd Shah Department of Physics, Faculty of Scinec, Universiti Putra Malaysia, 43400 Serdang, Selangor, MALAYSIA. https://orcid.org/0000-0001-7783-1118

DOI:

https://doi.org/10.22452/mjs.vol43no3.7

Keywords:

group, character group, group representation, quantum angular momentum

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 and angular momentum L3 are the canonical conjugate pair of observables.

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References

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Published

30-09-2024

How to Cite

Rosli, A. A., & Mohd Shah, N. (2024). CONSTRUCTING QUANTUM ANGULAR MOMENTUM L3 IN SPECIFIC DIRECTION BY USING U(1) GROUP. Malaysian Journal of Science (MJS), 43(3), 56–58. https://doi.org/10.22452/mjs.vol43no3.7

Issue

Vol 43 No 3 (2024): September 2024

Section

Original Articles

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