Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space

Details Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space

2005-05-27

arxiv.org/abs/hep-th/0505246v1

Phys.Lett. B613 (2005) 91-96

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figure

Scientific paper

10.1016/j.physletb.2005.03.040

In two-dimensional space a subtle point that for the case of both space-space and momentum-momentum noncommuting, different from the case of only space-space noncommuting, the deformed Heisenberg-Weyl algebra in noncommutative space is not completely equivalent to the undeformed Heisenberg-Weyl algebra in commutative space is clarified. It follows that there is no well defined procedure to construct the deformed position-position coherent state or the deformed momentum-momentum coherent state from the undeformed position-momentum coherent state. Identifications of the deformed position-position and deformed momentum-momentum coherent states with the lowest energy states of a cold Rydberg atom in special conditions and a free particle, respectively, are demonstrated.

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