Handle URI:
http://hdl.handle.net/10754/597779
Title:
Classical limit for semirelativistic Hartree systems
Authors:
Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof
Abstract:
We consider the three-dimensional semirelativistic Hartree model for fast quantum mechanical particles moving in a self-consistent field. Under appropriate assumptions on the initial density matrix as a (fully) mixed quantum state we prove by using Wigner transformation techniques that its classical limit yields the well known relativistic Vlasov-Poisson system. The result holds for the case of attractive and repulsive mean-field interactions, with an additional size constraint in the attractive case. © 2008 American Institute of Physics.
Citation:
Aki GL, Markowich PA, Sparber C (2008) Classical limit for semirelativistic Hartree systems. Journal of Mathematical Physics 49: 102110. Available: http://dx.doi.org/10.1063/1.3000059.
Publisher:
AIP Publishing
Journal:
Journal of Mathematical Physics
Issue Date:
2008
DOI:
10.1063/1.3000059
Type:
Article
ISSN:
0022-2488
Sponsors:
This work has been supported by the KAUST Investigator Award and the Wolfson Research Merit Award (Royal Society) of P. Markowich. G. L. Aki acknowledges support by the DEASE project of the EU. C. Sparber has been supported by the APART grant of the Austrian Academy of Sciences (MEST-CT-2005-021122).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorAki, Gonca L.en
dc.contributor.authorMarkowich, Peter A.en
dc.contributor.authorSparber, Christofen
dc.date.accessioned2016-02-25T12:56:34Zen
dc.date.available2016-02-25T12:56:34Zen
dc.date.issued2008en
dc.identifier.citationAki GL, Markowich PA, Sparber C (2008) Classical limit for semirelativistic Hartree systems. Journal of Mathematical Physics 49: 102110. Available: http://dx.doi.org/10.1063/1.3000059.en
dc.identifier.issn0022-2488en
dc.identifier.doi10.1063/1.3000059en
dc.identifier.urihttp://hdl.handle.net/10754/597779en
dc.description.abstractWe consider the three-dimensional semirelativistic Hartree model for fast quantum mechanical particles moving in a self-consistent field. Under appropriate assumptions on the initial density matrix as a (fully) mixed quantum state we prove by using Wigner transformation techniques that its classical limit yields the well known relativistic Vlasov-Poisson system. The result holds for the case of attractive and repulsive mean-field interactions, with an additional size constraint in the attractive case. © 2008 American Institute of Physics.en
dc.description.sponsorshipThis work has been supported by the KAUST Investigator Award and the Wolfson Research Merit Award (Royal Society) of P. Markowich. G. L. Aki acknowledges support by the DEASE project of the EU. C. Sparber has been supported by the APART grant of the Austrian Academy of Sciences (MEST-CT-2005-021122).en
dc.publisherAIP Publishingen
dc.titleClassical limit for semirelativistic Hartree systemsen
dc.typeArticleen
dc.identifier.journalJournal of Mathematical Physicsen
dc.contributor.institutionUniversitat Wien, Vienna, Austriaen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
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