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arXiv · quant-ph/9610002

Multi-Periodic Coherent States and the WKB-Exactness II ``Non-compact Case and Classical theories Revisited''

Kazuyuki Fujii·Kunio Funahashi
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Abstract

We show that the WKB approximation gives the exact result in the trace formula of ``$CQ^N$'', which is the non-compact counterpart of $CP^N$, in terms of the ``multi-periodic'' coherent state. We revisit the symplectic 2-forms on $CP^N$ and $CQ^N$ and, especially, construct that on $CQ^N$ with the unitary form. We also revisit the exact calculation of the classical patition functions of them.

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Kazuyuki Fujii, Kunio Funahashi. 1996-10-02. Multi-Periodic Coherent States and the WKB-Exactness II ``Non-compact Case and Classical theories Revisited''. https://doi.org/10.1063/1.532021

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