{"title":"Prequantisation from the path integral viewpoint","authors":"P A Horvathy","doi":"arxiv-2402.17629","DOIUrl":null,"url":null,"abstract":"The quantum mechanically admissible definitions of the factor\n$\\exp\\big[(i/\\hbar)S(\\gamma)\\big]$ in the Feynman integral are put in bijection\nwith the prequantisations of Kostant and Souriau. The different allowed\nexpressions of this factor -- the inequivalent prequantisations -- are\nclassified. The theory is illustrated by the Aharonov-Bohm experiment and by\nidentical particles.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2402.17629","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The quantum mechanically admissible definitions of the factor
$\exp\big[(i/\hbar)S(\gamma)\big]$ 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.
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