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arxiv: 0811.0281 · v1 · submitted 2008-11-03 · 🧮 math-ph · hep-th· math.MP· math.RT· quant-ph

Representations of the orthosymplectic Lie superalgebra osp(1|4) and paraboson coherent states

classification 🧮 math-ph hep-thmath.MPmath.RTquant-ph
keywords statescoherentparabosonappropriatebasisbicoherentcalculatedcat-type
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We introduce and obtain multimode paraboson coherent states. In appropriate subspaces these coherent states provide a decomposition of unity where the measure, when expressed using the cat-type states, is positive definite. Bicoherent states where the mutually commuting lowering operators are diagonalized are also obtained. Matrix elements in the coherent state basis are calculated.

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