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A discrete-velocity, stationary Wigner equation

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dc.contributorVirginia Techen
dc.contributor.authorArnold, Antonen
dc.contributor.authorLange, Horsten
dc.contributor.authorZweifel, Paul F.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-01-25en
dc.date.accessioned2014-01-23T13:49:07Zen
dc.date.available2014-01-23T13:49:07Zen
dc.date.issued2000-11en
dc.description.abstractThis paper is concerned with the one-dimensional stationary linear Wigner equation, a kinetic formulation of quantum mechanics. Specifically, we analyze the well-posedness of the boundary value problem on a slab of the phase space with given inflow data for a discrete-velocity model. We find that the problem is uniquely solvable if zero is not a discrete velocity. Otherwise one obtains a differential-algebraic equation of index 2 and, hence, the inflow data make the system overdetermined. (C) 2000 American Institute of Physics. [S0022-2488(00)00112-2].en
dc.identifier.citationArnold, A; Lange, H; Zweifel, PF, "A discrete-velocity, stationary Wigner equation," J. Math. Phys. 41, 7167 (2000); http://dx.doi.org/10.1063/1.1318732en
dc.identifier.doihttps://doi.org/10.1063/1.1318732en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/25116en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/41/11/10.1063/1.1318732en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectquantum transport-equationsen
dc.subjectboundary-value problemen
dc.subjectschrodingeren
dc.subjectscatteringen
dc.subjectmodelen
dc.subjectdiodeen
dc.titleA discrete-velocity, stationary Wigner equationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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