Prequantisation from the path integral viewpoint
Mathematical Physics
2025-05-16 v2 math.MP
Quantum Physics
Abstract
The quantum mechanically admissible definitions of the factor 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.
Keywords
Cite
@article{arxiv.2402.17629,
title = {Prequantisation from the path integral viewpoint},
author = {P A Horvathy},
journal= {arXiv preprint arXiv:2402.17629},
year = {2025}
}
Comments
Slightly reworded, rearranged and extended version of one originally published in the Proceedings of the {\sl Int. Conf. on Diff. Geom. Meths. in Math. Phys.}, Clausthal'1980, Doebner (ed). Springer Lecture Notes in Math. \textbf{905}, p.197-206 (1982). Marseille preprint CPT-80-P-1230. 14 pages, 2 figures