Group approach to geometric quantization of two physical groups

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2-10-2025

Abstract

Physical systems as a rule are associated with a symmetry group. One way of quantizing the system is to use this symmetry group to construct a geometric form of quantization procedure. This group quantization procedure is discussed and illustrated here on two different systems. Group cohomology and extensions of groups play a key role. Many important groups in physics can be extended by the local U(1) group. The process is introduced here and applied to two nontrivial systems.

Comments

© 2025 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

Recommended Citation

Bracken, Paul. "Group approach to geometric quantization of two physical groups." APL Quantum 2, no. 1 (2025). https://doi.org/10.1063/5.0243552

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

APL Quantum

DOI

10.1063/5.0243552