Show simple item record

dc.contributor.authorBardos, Claude
dc.contributor.authorGolse, François
dc.contributor.authorMarkowich, Peter A.
dc.contributor.authorPaul, Thierry
dc.date.accessioned2016-01-19T14:44:32Z
dc.date.available2016-01-19T14:44:32Z
dc.date.issued2015-05
dc.identifier.citationBardos C, Golse F, Markowich P, Paul T (2015) On the classical limit of the Schrödinger equation. DCDS-A 35: 5689–5709. Available: http://dx.doi.org/10.3934/dcds.2015.35.5689.
dc.identifier.issn1078-0947
dc.identifier.doi10.3934/dcds.2015.35.5689
dc.identifier.urihttp://hdl.handle.net/10754/594257
dc.description.abstractThis paper provides an elementary proof of the classical limit of the Schrödinger equation with WKB type initial data and over arbitrary long finite time intervals. We use only the stationary phase method and the Laptev-Sigal simple and elegant construction of a parametrix for Schrödinger type equations [A. Laptev, I. Sigal, Review of Math. Phys. 12 (2000), 749-766]. We also explain in detail how the phase shifts across caustics obtained when using the Laptev-Sigal parametrix are related to the Maslov index. © 2015, Southwest Missouri State University. All rights reserved.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectCaustic
dc.subjectClassical limit
dc.subjectFourier integral operators
dc.subjectLagrangian manifold
dc.subjectMaslov index
dc.subjectSchrödinger equation
dc.subjectWKB expansion
dc.titleOn the classical limit of the Schrödinger equation
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalDiscrete and Continuous Dynamical Systems
dc.contributor.institutionUniversité Paris-Diderot, Laboratoire J.-L. Lions, BP187, 4 place Jussieu, Paris Cedex 05, France
dc.contributor.institutionEcole Polytechnique, CMLS, Palaiseau Cedex, France
dc.identifier.arxivid1410.4030
kaust.personMarkowich, Peter A.


This item appears in the following Collection(s)

Show simple item record