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

Quantum Physics 2016-01-20 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity 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.

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Cite

@article{arxiv.1409.5255,
  title  = {Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space},
  author = {Fabio Benatti and Laure Gouba},
  journal= {arXiv preprint arXiv:1409.5255},
  year   = {2016}
}

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12 pages