About the Overcompleteness of Coherent State Systems with a Line Bundles Viewpoint

2001/02/21 by A. I. Shimabukuro, Shimabukuro, A. I.
Mathematics · Physics and Astronomy · #22E45 #81R30 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:22E45 #msc:81R30

paper · pdf · doi:10.48550/arxiv.math-ph/0102023

12 pages

arxiv created 2001/02/21 · arxiv updated 2009/11/30

Abstract

Standart Coherent State Systems have an analysis based on lattices (von Neumann's lattices) in terms of wich they are classified, looking at the size of the minimun cell, by: complete, overcomplete and not complete. In this work we analize overcomplete systems with a geometrical viewpoint (holomorphic line-budles). We apply the method to evaluate the degeneracy of the lowest Landau level.

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