Abstract
The quantum mechanically admissible definitions of the factor exp [i/ℏ S(y)] in Feynman's integral—are put in bijection with the prequantisations of Kostant and Souriau. The different allowed expressions of this factor— the inequivalent prequantisations—are classified in terms of algebraic topology.
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References
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© 1982 Springer-Verlag Berlin Heidelberg
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Horváthy, P.A. (1982). Prequantisation from path integral viewpoint. In: Doebner, HD., Andersson, S.I., Petry, H.R. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 905. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092438
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DOI: https://doi.org/10.1007/BFb0092438
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