The semiclassical limit of quantum dynamics. I. Time evolution

dc.contributor	Virginia Tech	en
dc.contributor.author	Robinson, Sam Leslie	en
dc.contributor.department	Mathematics	en
dc.date.accessed	2014-03-20	en
dc.date.accessioned	2014-04-09T18:12:28Z	en
dc.date.available	2014-04-09T18:12:28Z	en
dc.date.issued	1988-02	en
dc.description.abstract	The ℏ→0 limit of the quantum dynamics determined by the Hamiltonian H(ℏ) =−(ℏ<sup>2</sup>/2m)Δ+V on L<sup>2</sup>(R<sup>n</sup>) 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<sup>1</sup>/<sub>0</sub> the error terms are shown to have L<sup>2</sup> norms of order ℏ<sup>1/2−ε</sup> for arbitrarily small positive ε.	en
dc.identifier.citation	Robinson, 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	en
dc.identifier.doi	https://doi.org/10.1063/1.528029	en
dc.identifier.issn	0022-2488	en
dc.identifier.uri	http://hdl.handle.net/10919/47092	en
dc.identifier.url	http://scitation.aip.org/content/aip/journal/jmp/29/2/10.1063/1.528029	en
dc.language.iso	en_US	en
dc.publisher	AIP Publishing	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.title	The semiclassical limit of quantum dynamics. I. Time evolution	en
dc.title.serial	Journal of Mathematical Physics	en
dc.type	Article - Refereed	en

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