Classical limits of quantum mechanics on a non-commutative configuration space

Journal Article · Sat Jun 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4808181· OSTI ID:22163083

Benatti, Fabio ^[1]; Gouba, Laure ^[2]

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1. Department of Physics, University of Trieste and INFN, Sezione di Trieste, Strada Costiera 11, I-34051 Trieste (Italy)
2. The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, I-34151 Trieste (Italy)

We consider a model of non-commutative quantum mechanics given by two harmonic oscillators over a non-commutative two dimensional configuration space. We study possible ways of removing the non-commutativity based on the classical limit context known as anti-Wick quantization. We show that removal of non-commutativity from the configuration space and from the canonical operators is not commuting operation.

• OSTI ID: 22163083
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 6; Other Information: (c) 2013 AIP Publishing LLC; 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
CONFIGURATION
HARMONIC OSCILLATORS
MATHEMATICAL SPACE
QUANTIZATION
QUANTUM MECHANICS
TWO-DIMENSIONAL CALCULATIONS