dorsal/arxiv
View SchemaCoherent State Path Integrals without Resolutions of Unity
| Authors | John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008132 |
| URL | https://arxiv.org/abs/quant-ph/0008132 |
| Journal | Found.Phys. 31 (2001) 57-67 |
Abstract
From the very beginning, coherent state path integrals have always relied on a coherent state resolution of unity for their construction. By choosing an inadmissible fiducial vector, a set of ``coherent states'' spans the same space but loses its resolution of unity, and for that reason has been called a set of weak coherent states. Despite having no resolution of unity, it is nevertheless shown how the propagator in such a basis may admit a phase-space path integral representation in essentially the same form as if it had a resolution of unity. Our examples are toy models of similar situations that arise in current studies of quantum gravity.
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"abstract": "From the very beginning, coherent state path integrals have always relied on\na coherent state resolution of unity for their construction. By choosing an\ninadmissible fiducial vector, a set of ``coherent states\u0027\u0027 spans the same space\nbut loses its resolution of unity, and for that reason has been called a set of\nweak coherent states. Despite having no resolution of unity, it is nevertheless\nshown how the propagator in such a basis may admit a phase-space path integral\nrepresentation in essentially the same form as if it had a resolution of unity.\nOur examples are toy models of similar situations that arise in current studies\nof quantum gravity.",
"arxiv_id": "quant-ph/0008132",
"authors": [
"John R. Klauder"
],
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"quant-ph",
"gr-qc",
"hep-th",
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"math.MP"
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"journal_ref": "Found.Phys. 31 (2001) 57-67",
"title": "Coherent State Path Integrals without Resolutions of Unity",
"url": "https://arxiv.org/abs/quant-ph/0008132"
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