Prequantisation from the path integral viewpoint
Abstract
The quantum mechanically admissible definitions of the factor [(i/)S(γ)] 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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