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

D. M. Xun; Q. H. Liu; X. P. Rong

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

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arxiv 1001.5163 v1 pith:M6MNVWIW submitted 2010-01-28 math-ph math.MPquant-ph

Q. H. Liu , X. P. Rong , D. M. Xun This is my paper

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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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