Coherent states in noncommutative quantum mechanics

Journal Article · Wed Apr 15 00:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3105926· OSTI ID:21294034

Ben Geloun, J ^[1]; Scholtz, F G ^[1]

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1. National Institute for Theoretical Physics, Private Bag X1, Matieland 7602 (South Africa)

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.

• OSTI ID: 21294034
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 4; Other Information: DOI: 10.1063/1.3105926; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
COMMUTATION RELATIONS
EIGENSTATES
GEOMETRY
HILBERT SPACE
QUANTUM MECHANICS
VECTORS