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dc.contributorVirginia Tech
dc.contributor.authorRobinson, S. L.
dc.date.accessioned2014-04-09T18:12:28Z
dc.date.available2014-04-09T18:12:28Z
dc.date.issued1988-02
dc.identifier.citationRobinson, S. L., "the semiclassical limit of quantum dynamics. I. time evolution," J. Math. Phys. 29, 412 (1988); http://dx.doi.org/10.1063/1.528029
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/10919/47092
dc.description.abstractThe ℏ→0 limit of the quantum dynamics determined by the Hamiltonian H(ℏ) =−(ℏ2/2m)Δ+V on L 2(R n ) 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 C 1 0 the error terms are shown to have L 2 norms of order ℏ1/2−ε for arbitrarily small positive ε.
dc.language.isoen_US
dc.publisherAIP Publishing
dc.titlethe semiclassical limit of quantum dynamics. I. time evolution
dc.typeArticle
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/29/2/10.1063/1.528029
dc.date.accessed2014-03-20
dc.title.serialJournal of Mathematical Physics
dc.identifier.doihttps://doi.org/10.1063/1.528029


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