The classical limit in geometric quantization by group extension
Physical systems as a rule are associated with a symmetry group. The group approach to geometric quantization makes use of this to introduce a quantization by means of group extension. This procedure is discussed and applied to a physical system whose group law has its origin with the Galilean group. The main intention is to investigate the classical limit and its relationship under this approach to geometric quantization. The classical quantization conditions are obtained based on a deeper foundation.
Authors
- Paul Bracken (ORCID: https://orcid.org/0000-0003-1409-7272)
Institutions
- The University of Texas Rio Grande Valley (US)
Publication Details
- Journal
- International Journal of Geometric Methods in Modern Physics
- Published
- 2025-03-22
- DOI
- https://doi.org/10.1142/s0219887825501622
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00