Dissipation in Wigner-Poisson systems

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dc.contributorVirginia Techen
dc.contributor.authorLange, Horsten
dc.contributor.authorZweifel, Paul F.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:18Zen
dc.date.available2014-04-09T18:12:18Zen
dc.date.issued1994-04en
dc.description.abstractThe Wigner-Poisson (WP) system (or quantum Vlasov-Poisson system) is modified to include dissipative terms in the Hamiltonian. By utilizing the equivalence of the WP system to the Schrodinger-Poisson system, global existence and uniqueness are proved and regularity properties are deduced. The proof differs somewhat from that for the nondissipative case treated previously by Brezzi-Markowich and Illner et al.; in particular the Hille-Yosida Theorem is used since the linear evolution is not unitary, and a Liapunov function is introduced to replace the energy, which is not conserved.en
dc.description.sponsorshipNATO Collaborative Research Grant No. CRG-910979en
dc.identifier.citationLange, H.; Zweifel, P. F., "Dissipation in Wigner-Poisson systems," J. Math. Phys. 35, 1513 (1994); http://dx.doi.org/10.1063/1.530887en
dc.identifier.doihttps://doi.org/10.1063/1.530887en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47040en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/35/4/10.1063/1.530887en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectquantumen
dc.titleDissipation in Wigner-Poisson systemsen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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