Multi-Periodic Coherent States and the WKB-Exactness
نویسنده
چکیده
We construct the path integral formula in terms of “multi-periodic” coherent state as an extension of the Nielsen-Rohrlich formula for spin. We make an exact calculation of the formula and show that, when a parameter corresponding to the magnitude of spin becomes large, the leading order term of the expansion coincides with the exact result. We also give an explicit correspondence between the trace formula in the multi-periodic coherent state and the one in the “generalized” coherent state.
منابع مشابه
O ct 1 99 6 Multi - Periodic Coherent States and the WKB - Exactness II
We show that the WKB approximation gives the exact result in the trace formula of “CQ”, which is the non-compact counterpart of CP , in terms of the “multi-periodic” coherent state. We revisit the symplectic 2-forms on CP and CQ and, especially, construct that on CQ with the unitary form. We also revisit the exact calculation of the classical patition functions of them.
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We show that the WKB approximation gives the exact result in the trace formula of \CQ", which is the non-compact counterpart of CP , in terms of the \multi-periodic" coherent state. We revisit the symplectic 2-forms on CP and CQ and, especially, construct that on CQ with the unitary form. We also revisit the exact calculation of the classical patition functions of them.
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