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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.17629 |
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| _version_ | 1866910944226967552 |
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| author | Horvathy, P A |
| author_facet | Horvathy, P A |
| contents | The quantum mechanically admissible definitions of the factor $\exp\big[(i/\hbar)S(γ)\big]$ in the Feynman integral are put in bijection with the prequantisations of Kostant and Souriau. The different allowed expressions of this factor -- the inequivalent prequantisations -- are classified. The theory is illustrated by the Aharonov-Bohm experiment and by identical particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prequantisation from the path integral viewpoint Horvathy, P A Mathematical Physics Quantum Physics The quantum mechanically admissible definitions of the factor $\exp\big[(i/\hbar)S(γ)\big]$ in the Feynman integral are put in bijection with the prequantisations of Kostant and Souriau. The different allowed expressions of this factor -- the inequivalent prequantisations -- are classified. The theory is illustrated by the Aharonov-Bohm experiment and by identical particles. |
| title | Prequantisation from the path integral viewpoint |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2402.17629 |