The propagator for quantum mechanics on a group manifold from an infinite-dimensional analogue of the Duistermaat-Heckman integration formula
- 7 July 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (13) , 2285-2297
- https://doi.org/10.1088/0305-4470/22/13/024
Abstract
An exact expression for the quantum mechanical propagator for a particle moving on a group manifold is shown to arise from the application of an infinite-dimensional version of the Duistermaat-Heckman integration formula to a suitable path integral over the based loop group of the group. In an appendix the equivalence of this expression to a spectral representation of the propagator is demonstrated by means of a Poisson resummation.Keywords
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