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.



Titolo: Classical limits of quantum mechanics on a non-commutative configuration space
Autori: 
BENATTI, FABIO
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Data di pubblicazione: 2013
Rivista: 
JOURNAL OF MATHEMATICAL PHYSICS  
Abstract: 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.
Handle: http://hdl.handle.net/11368/2717480
Digital Object Identifier (DOI): 10.1063/1.4808181
Appare nelle tipologie:1.1 Articolo in Rivista

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