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

Abstract

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

LaTeX, 29 pages

References in corpus (5)

• Coherent states, Path integral, and Semiclassical approximation
• Coherent states over Grassmann manifolds and the WKB-exactness in path integral
• EXACTNESS IN THE WKB APPROXIMATION FOR SOME HOMOGENEOUS SPACES
• Symplectic Manifolds, Coherent States and Semiclassical Approximation
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Cited by in corpus (3)

• Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kaehler manifolds
• Extension of the Barut-Girardello Coherent State and Path Integral II
• Extension of the Barut-Girardello Coherent State and Path Integral