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dc.contributor.authorMarkowich, Peter
dc.contributor.authorSparber, Christof
dc.contributor.authorPaul, Thierry
dc.date.accessioned2013-11-08T21:53:54Z
dc.date.available2013-11-08T21:53:54Z
dc.date.issued2012
dc.identifier.bibliographicCitationPeter Markowich, Thierry Paul, and Christof Sparber. (2012). "On the Dynamics of Bohmian Measures." Archive for Rational Mechanics and Analysis 205(3): 1031-1054. DOI: 10.1007/s00205-012-0528-1en_US
dc.identifier.issn0003-9527
dc.identifier.urihttp://hdl.handle.net/10027/10450
dc.descriptionPost print version of article may differ from published version. The final publication is available at springerlink.com; DOI: 10.1007/s00205-012-0528-1en_US
dc.description.abstractThe present work is devoted to the study of dynamical features of Bohmian measures, recently introduced by the authors. We rigorously prove that for su ciently smooth wave functions the corresponding Bohmian measure furnishes a distributional solution of a nonlinear Vlasov-type equation. Moreover, we study the associated defect measures appearing in the classical limit. In one space dimension, this yields a new connection between monokinetic Wigner and Bohmian measures. In addition, we shall study the dynamics of Bohmian measures associated to so-called semi-classical wave packets. For these type of wave functions, we prove local in-measure convergence of a rescaled sequence of Bohmian trajectories towards the classical Hamiltonian flow on phase space. Finally, we construct an example of wave functions whose limiting Bohmian measure is not mono-kinetic but nevertheless equals the associated Wigner measure.en_US
dc.language.isoen_USen_US
dc.publisherSpringer Verlagen_US
dc.titleOn The Dynamics of Bohmian Measuresen_US
dc.typeArticleen_US


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