Group approach to geometric quantization of two physical groups
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...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-03-01
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| Series: | APL Quantum |
| Online Access: | http://dx.doi.org/10.1063/5.0243552 |
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| author | Paul Bracken |
| author_facet | Paul Bracken |
| author_sort | Paul Bracken |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-eb7e6c6749ed4a71b7c53afb036721ad |
| institution | DOAJ |
| issn | 2835-0103 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | APL Quantum |
| spelling | doaj-art-eb7e6c6749ed4a71b7c53afb036721ad2025-08-20T03:06:19ZengAIP Publishing LLCAPL Quantum2835-01032025-03-0121016115016115-710.1063/5.0243552Group approach to geometric quantization of two physical groupsPaul Bracken0Department of Mathematics, University of Texas, Edinburg, Texas 78540, USAPhysical 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.http://dx.doi.org/10.1063/5.0243552 |
| spellingShingle | Paul Bracken Group approach to geometric quantization of two physical groups APL Quantum |
| title | Group approach to geometric quantization of two physical groups |
| title_full | Group approach to geometric quantization of two physical groups |
| title_fullStr | Group approach to geometric quantization of two physical groups |
| title_full_unstemmed | Group approach to geometric quantization of two physical groups |
| title_short | Group approach to geometric quantization of two physical groups |
| title_sort | group approach to geometric quantization of two physical groups |
| url | http://dx.doi.org/10.1063/5.0243552 |
| work_keys_str_mv | AT paulbracken groupapproachtogeometricquantizationoftwophysicalgroups |