Coherent State Path Integrals without Resolutions of Unity

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dc.creatorKlauder, John R.
dc.date2000-08-30
dc.date.accessioned2026-07-07T06:00:44Z
dc.date.available2026-07-07T06:00:44Z
dc.descriptionFrom 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.
dc.description12 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0008132
dc.identifierhttp://arxiv.org/abs/quant-ph/0008132
dc.identifierFound.Phys. 31 (2001) 57-67
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89048
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleCoherent State Path Integrals without Resolutions of Unity
dc.typetext

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