Path Integration on Hermitian Hyperbolic Space
Exactly Solvable and Integrable Systems
2009-11-10 v2 Quantum Physics
Abstract
In this paper the path integral technique is applied to the quantum motion on the Hermitian hyperbolic space HH(2). The Schr\"odinger equation on this space separates in 12 coordinate systems which are closely related to the coordinate systems on the two-dimensional hyperboloid. For six coordinate systems out of the twelve it is possible to find a path integral solution.
Keywords
Cite
@article{arxiv.nlin/0411053,
title = {Path Integration on Hermitian Hyperbolic Space},
author = {Christian Grosche},
journal= {arXiv preprint arXiv:nlin/0411053},
year = {2009}
}
Comments
29 pages, revised paper as published