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A simple realization of gl(2,c) Lie algebra with vector operators on sphere
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A simple realization of gl(2,c) Lie algebra with vector operators on sphere
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math-ph
math.MPquant-ph
keywords
algebraconstructedoperatorsrealizationsimplespherevectorangular
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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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