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

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

1996-10-02

arxiv.org/abs/quant-ph/9610002v1

J.Math.Phys. 38 (1997) 2812-2831

Physics

Quantum Physics

LaTeX, 29 pages

Scientific paper

10.1063/1.532021

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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