Geometry of Coherent States : Some Examples of Calculations of Chern-Characters

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dc.creatorFujii, Kazuyuki
dc.date2001-08-27
dc.date.accessioned2026-07-07T03:45:12Z
dc.date.available2026-07-07T03:45:12Z
dc.descriptionFirst we make a brief review of coherent states and prove that the resolution of unity can be obtained by the 1-st Chern character of some bundle. Next we define a Grassmann manifold for a set of coherent states and construct the pull-back bundle making use of a projector from the parameter space to this Grassmann manifold. We study some geometric properties (Chern-characters mainly) of these bundles. Although the calculations of Chern-characters are in general not easy, we can perform them for the special cases. In this paper we report our calculations and propose some interesting problems to be solved in the near future.
dc.descriptionLatex File 1 + 17 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0108219
dc.identifierhttp://arxiv.org/abs/hep-ph/0108219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/40847
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleGeometry of Coherent States : Some Examples of Calculations of Chern-Characters
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