Path Integration on Hermitian Hyperbolic Space
classification
🌊 nlin.SI
quant-ph
keywords
coordinatepathspacesystemshermitianhyperbolicintegralapplied
read the original 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.
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