Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

When dealing with the classical limit of two quantum mechanical oscillators on a non-commutative configuration space, the limits corresponding to the removal of configuration-space non-commutativity and position-momentum non-commutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

Titolo: Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space
Autori: 
BENATTI, FABIO
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Data di pubblicazione: 2015
Rivista: 
OPEN SYSTEMS & INFORMATION DYNAMICS  
Abstract: When dealing with the classical limit of two quantum mechanical oscillators on a non-commutative configuration space, the limits corresponding to the removal of configuration-space non-commutativity and position-momentum non-commutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.
Handle: http://hdl.handle.net/11368/2870806
Digital Object Identifier (DOI): http://dx.doi.org/10.1142/S1230161215500213
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