Coherent states in noncommutative quantum mechanics

Details Coherent states in noncommutative quantum mechanics Coherent states in noncommutative quantum mechanics

2009-01-21

arxiv.org/abs/0901.3315v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

Gazeau-Klauder coherent states in noncommutative quantum mechanics are considered. We find that these states share similar properties to those of ordinary canonical coherent states in the sense that they saturate the related position uncertainty relation, obey a Poisson distribution and possess a flat geometry. Using the natural isometry between the quantum Hilbert space of Hilbert Schmidt operators and the tensor product of the classical configuration space and its dual, we reveal the inherent vector feature of these states.

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