Path Integration on Hermitian Hyperbolic Space
可精确求解与可积系统
2009-11-10 v2 量子物理
摘要
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.
引用
@article{arxiv.nlin/0411053,
title = {Path Integration on Hermitian Hyperbolic Space},
author = {Christian Grosche},
journal= {arXiv preprint arXiv:nlin/0411053},
year = {2009}
}
备注
29 pages, revised paper as published