A simple realization of gl(2,c) Lie algebra with vector operators on sphere

Published 28 Jan 2010 in math-ph, math.MP, and quant-ph | (1001.5163v1)

Abstract: By utilization of three elementary vector operators as position, angular momentum and their cross product, a simple realization of gl(2,c) Lie algebra on sphere are constructed. The coherent states based on this algebra can then be constructed by standard manner.

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