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

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

2010-01-28

arxiv.org/abs/1001.5163v1

Physics

Mathematical Physics

3 pages, no figure

Scientific paper

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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