Handle URI:
http://hdl.handle.net/10754/597688
Title:
Bohmian measures and their classical limit
Authors:
Markowich, Peter; Paul, Thierry; Sparber, Christof
Abstract:
We consider a class of phase space measures, which naturally arise in the Bohmian interpretation of quantum mechanics. We study the classical limit of these so-called Bohmian measures, in dependence on the scale of oscillations and concentrations of the sequence of wave functions under consideration. The obtained results are consequently compared to those derived via semi-classical Wigner measures. To this end, we shall also give a connection to the theory of Young measures and prove several new results on Wigner measures themselves. Our analysis gives new insight on oscillation and concentration effects in the semi-classical regime. © 2010 Elsevier Inc.
Citation:
Markowich P, Paul T, Sparber C (2010) Bohmian measures and their classical limit. Journal of Functional Analysis 259: 1542–1576. Available: http://dx.doi.org/10.1016/j.jfa.2010.05.013.
Publisher:
Elsevier BV
Journal:
Journal of Functional Analysis
KAUST Grant Number:
KUK-I1-007-43
Issue Date:
Sep-2010
DOI:
10.1016/j.jfa.2010.05.013
Type:
Article
ISSN:
0022-1236
Sponsors:
This publication is based on work supported by Award No. KUK-I1-007-43, funded by the King Abdullah University of Science and Technology (KAUST). Christof Sparber has been supported by the Royal Society via his University research fellowship and Peter Markowich by his Royal Society Wolfson Research Merit Award.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMarkowich, Peteren
dc.contributor.authorPaul, Thierryen
dc.contributor.authorSparber, Christofen
dc.date.accessioned2016-02-25T12:44:26Zen
dc.date.available2016-02-25T12:44:26Zen
dc.date.issued2010-09en
dc.identifier.citationMarkowich P, Paul T, Sparber C (2010) Bohmian measures and their classical limit. Journal of Functional Analysis 259: 1542–1576. Available: http://dx.doi.org/10.1016/j.jfa.2010.05.013.en
dc.identifier.issn0022-1236en
dc.identifier.doi10.1016/j.jfa.2010.05.013en
dc.identifier.urihttp://hdl.handle.net/10754/597688en
dc.description.abstractWe consider a class of phase space measures, which naturally arise in the Bohmian interpretation of quantum mechanics. We study the classical limit of these so-called Bohmian measures, in dependence on the scale of oscillations and concentrations of the sequence of wave functions under consideration. The obtained results are consequently compared to those derived via semi-classical Wigner measures. To this end, we shall also give a connection to the theory of Young measures and prove several new results on Wigner measures themselves. Our analysis gives new insight on oscillation and concentration effects in the semi-classical regime. © 2010 Elsevier Inc.en
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-I1-007-43, funded by the King Abdullah University of Science and Technology (KAUST). Christof Sparber has been supported by the Royal Society via his University research fellowship and Peter Markowich by his Royal Society Wolfson Research Merit Award.en
dc.publisherElsevier BVen
dc.subjectBohmian mechanicsen
dc.subjectClassical limiten
dc.subjectQuantum mechanicsen
dc.subjectWeak convergenceen
dc.subjectWigner functionen
dc.subjectYoung measuresen
dc.titleBohmian measures and their classical limiten
dc.typeArticleen
dc.identifier.journalJournal of Functional Analysisen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
dc.contributor.institutionEcole Polytechnique, Palaiseau, Franceen
kaust.grant.numberKUK-I1-007-43en
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