Path Integral Evaluation of the Free Propagator on the (D-1)-dimensional Pseudosphere

Details Path Integral Evaluation of the Free Propagator on the (D-1)-dimensional Pseudosphere Path Integral Evaluation of the Free Propagator on the (D-1)-dimensional Pseudosphere

1999-03-02

arxiv.org/abs/quant-ph/9903005v3

Physics

Quantum Physics

9 pages, misprints corrected and a note added

Scientific paper

We present an explicit path integral evaluation of the free Hamiltonian
propagator on the (D-1)-dimensional pseudosphere, in the horicyclic
coordinates, using the integral equation method. This method consists in
deriving an integral equation for the propagator that turns out to be of Abel's
type.

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