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

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

2001-02-21

arxiv.org/abs/math-ph/0102023v1

Physics

Mathematical Physics

12 pages

Scientific paper

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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