The classical limit in geometric quantization by group extension

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

4-28-2025

Abstract

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.

Comments

Electronic version of an article published as International Journal of Geometric Methods in Modern Physics © World Scientific Publishing Company, https://doi.org/10.1142/S0219887825501622

Recommended Citation

Bracken, Paul. "The Classical Limit in Geometric Quantization by Group Extension." International Journal of Geometric Methods in Modern Physics (2025). https://doi.org/10.1142/S0219887825501622

Publication Title

International Journal of Geometric Methods in Modern Physics

DOI

10.1142/S0219887825501622