Deformation quantization for coupled harmonic oscillators on a general noncommutative space

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dc.creatorLin, Bing-Sheng
dc.creatorJing, Si-Cong
dc.creatorHeng, Tai-Hua
dc.date2009-02-22
dc.date.accessioned2026-07-07T12:59:27Z
dc.date.available2026-07-07T12:59:27Z
dc.descriptionDeformation quantization is a powerful tool to quantize some classical systems especially in noncommutative space. In this work we first show that for a class of special Hamiltonian one can easily find relevant time evolution functions and Wigner functions, which are intrinsic important quantities in the deformation quantization theory. Then based on this observation we investigate a two coupled harmonic oscillators system on the general noncommutative phase space by requiring both spatial and momentum coordinates do not commute each other. We derive all the Wigner functions and the corresponding energy spectra for this system, and consider several interesting special cases, which lead to some significant results.
dc.identifierhttps://arxiv.org/abs/0902.3769
dc.identifierhttp://arxiv.org/abs/0902.3769
dc.identifierMod.Phys.Lett.A23:445-456,2008
dc.identifierdoi:10.1142/S0217732308023992
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225575
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleDeformation quantization for coupled harmonic oscillators on a general noncommutative space
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