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dc.contributorVirginia Techen
dc.contributor.authorRobinson, Sam Leslieen
dc.date.accessioned2014-04-09T18:12:28Zen
dc.date.available2014-04-09T18:12:28Zen
dc.date.issued1988-02en
dc.identifier.citationRobinson, S. L., "The semiclassical limit of quantum dynamics. I. Time evolution," J. Math. Phys. 29, 412 (1988); http://dx.doi.org/10.1063/1.528029en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47092en
dc.description.abstractThe ℏ→0 limit of the quantum dynamics determined by the Hamiltonian H(ℏ) =−(ℏ2/2m)Δ+V on L2(Rn) is studied for a large class of potentials. By convolving with certain Gaussian states, classically determined asymptotic behavior of the quantum evolution of states of compact support is obtained. For initial states of class C1/0 the error terms are shown to have L2 norms of order ℏ1/2−ε for arbitrarily small positive ε.en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleThe semiclassical limit of quantum dynamics. I. Time evolutionen
dc.typeArticle - Refereeden
dc.contributor.departmentMathematicsen
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/29/2/10.1063/1.528029en
dc.date.accessed2014-03-20en
dc.title.serialJournal of Mathematical Physicsen
dc.identifier.doihttps://doi.org/10.1063/1.528029en


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