2001/08/27 by Kazuyuki Fujii, Fujii, Kazuyuki · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #hep-ph #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0108219
Latex File 1 + 17 pages, no figures
arxiv created 2001/08/27 · openalex publication_date 2001/08/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
First 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.