dorsal/arxiv
View SchemaMulti-Periodic Coherent States and the WKB-Exactness II ``Non-compact Case and Classical theories Revisited''
| Authors | Kazuyuki Fujii, Kunio Funahashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610002 |
| URL | https://arxiv.org/abs/quant-ph/9610002 |
| DOI | 10.1063/1.532021 |
| Journal | J.Math.Phys. 38 (1997) 2812-2831 |
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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"abstract": "We show that the WKB approximation gives the exact result in the trace\nformula of ``$CQ^N$\u0027\u0027, which is the non-compact counterpart of $CP^N$, in terms\nof the ``multi-periodic\u0027\u0027 coherent state. We revisit the symplectic 2-forms on\n$CP^N$ and $CQ^N$ and, especially, construct that on $CQ^N$ with the unitary\nform. We also revisit the exact calculation of the classical patition functions\nof them.",
"arxiv_id": "quant-ph/9610002",
"authors": [
"Kazuyuki Fujii",
"Kunio Funahashi"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.532021",
"journal_ref": "J.Math.Phys. 38 (1997) 2812-2831",
"title": "Multi-Periodic Coherent States and the WKB-Exactness II ``Non-compact Case and Classical theories Revisited\u0027\u0027",
"url": "https://arxiv.org/abs/quant-ph/9610002"
},
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