A new kind of representations on noncommutative phase space

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dc.creatorJing, Si-Cong
dc.creatorLin, Bing-Sheng
dc.date2009-02-22
dc.date.accessioned2026-07-07T12:59:27Z
dc.date.available2026-07-07T12:59:27Z
dc.descriptionWe introduce new representations to formulate quantum mechanics on noncommutative phase space, in which both coordinate-coordinate and momentum-momentum are noncommutative. These representations explicitly display entanglement properties between degrees of freedom of different coordinate and momentum components. To show their potential applications, we derive explicit expressions of Wigner function and Wigner operator in the new representations, as well as solve exactly a two-dimensional harmonic oscillator on the noncommutative phase plane with both kinetic coupling and elastic coupling.
dc.identifierhttps://arxiv.org/abs/0902.3782
dc.identifierhttp://arxiv.org/abs/0902.3782
dc.identifierPhys.Lett.A372:7109-7116,2008
dc.identifierdoi:10.1016/j.physleta.2008.10.052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225577
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleA new kind of representations on noncommutative phase space
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