Bound state energies and phase shifts of a non-commutative well

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dc.contributor.authorThom J.D.
dc.contributor.authorScholtz F.G.
dc.date.accessioned2011-05-15T16:03:39Z
dc.date.available2011-05-15T16:03:39Z
dc.date.issued2009
dc.description.abstractNon-commutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on non-commutative configuration space. Within this framework, an unambiguous definition can be given for the non-commutative well. Using this approach, we compute the bound state energies, phase shifts and scattering cross-sections of the non-commutative well. As expected, the results are very close to the commutative results when the well is large or the non-commutative parameter is small. However, the convergence is not uniform, and phase shifts at certain energies exhibit a much stronger than expected dependence on the non-commutative parameter even at small values. © 2009 IOP Publishing Ltd.
dc.description.versionArticle
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical
dc.identifier.citation42
dc.identifier.citation44
dc.identifier.issn17518113
dc.identifier.other10.1088/1751-8113/42/44/445301
dc.identifier.urihttp://hdl.handle.net/10019.1/12718
dc.titleBound state energies and phase shifts of a non-commutative well
dc.typeArticle
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