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: | |
Data di pubblicazione: | 2013 |
Rivista: | |
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): | http://dx.doi.org/10.1063/1.4808181 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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