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.

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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
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article

The classical limit in geometric quantization by group extension

Paul Bracken
International Journal of Geometric Methods in Modern Physics
Advanced Topics in Algebra
article

The classical limit in geometric quantization by group extension

Paul Bracken
article en

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.

International Journal of Geometric Methods in Modern PhysicsVol. 23(03)
The University of Texas Rio Grande Valley (US)
Openalex Percentile: Top 91%
Advanced Topics in Algebra
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