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Path Integration on Hermitian Hyperbolic Space

Christian Grosche
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Abstract

In this paper the path integral technique is applied to the quantum motion on the Hermitian hyperbolic space HH(2). The Schrödinger 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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Christian Grosche. 2005-08-03. Path Integration on Hermitian Hyperbolic Space. https://doi.org/10.1088/0305-4470%2F38%2F16%2F011

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