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arxiv: 1001.5163 · v1 · submitted 2010-01-28 · 🧮 math-ph · math.MP· quant-ph

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

classification 🧮 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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