Path Integration on Hermitian Hyperbolic Space

Details Path Integration on Hermitian Hyperbolic Space Path Integration on Hermitian Hyperbolic Space

2004-11-26

arxiv.org/abs/nlin/0411053v2

J.Phys. A38 (2005) 3625-3650

Nonlinear Sciences

Exactly Solvable and Integrable Systems

29 pages, revised paper as published

Scientific paper

10.1088/0305-4470/38/16/011

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.

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