Semiclassical approximations in phase space with coherent states

dc.creatorBaranger, M
dc.creatorde Aguiar, MAM
dc.creatorKeck, F
dc.creatorKorsch, HJ
dc.creatorSchellhaass, B
dc.date2001
dc.dateSEP 14
dc.date2014-11-17T08:25:28Z
dc.date2015-11-26T17:16:09Z
dc.date2014-11-17T08:25:28Z
dc.date2015-11-26T17:16:09Z
dc.date.accessioned2018-03-29T00:04:21Z
dc.date.available2018-03-29T00:04:21Z
dc.identifierJournal Of Physics A-mathematical And General. Iop Publishing Ltd, v. 34, n. 36, n. 7227, n. 7286, 2001.
dc.identifier0305-4470
dc.identifierWOS:000171597000011
dc.identifier10.1088/0305-4470/34/36/309
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/79871
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/79871
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/79871
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1282217
dc.descriptionWe present a complete derivation of the semiclassical limit of the coherent-state propagator in one dimension, starting from path integrals in phase space. We show that the arbitrariness in the path integral representation, which follows from the overcompleteness of the coherent states, results in many different semiclassical limits. We explicitly derive two possible semiclassical formulae for the propagator, we suggest a third one, and we discuss their relationships. We also derive an initial-value representation for the semiclassical propagator, based on an initial Gaussian wavepacket. It turns out to be related to, but different from, Heller's thawed Gaussian approximation. It is very different from the Herman-Kluk formula, which is not a correct semiclassical limit. We point out errors in two derivations of the latter. Finally we show how the semiclassical coherent-state propagators lead to WKB-type quantization rules and to approximations for the Husimi distributions of stationary states.
dc.description34
dc.description36
dc.description7227
dc.description7286
dc.languageen
dc.publisherIop Publishing Ltd
dc.publisherBristol
dc.publisherInglaterra
dc.relationJournal Of Physics A-mathematical And General
dc.relationJ. Phys. A-Math. Gen.
dc.rightsfechado
dc.rightshttp://iopscience.iop.org/page/copyright
dc.sourceWeb of Science
dc.subjectInitial-value Representation
dc.subjectFrozen Gaussian Approximation
dc.subjectComplex Molecular-systems
dc.subjectPath-integrals
dc.subjectWavepacket Propagation
dc.subjectPeriodic-orbits
dc.subjectQuantum
dc.subjectTime
dc.subjectDynamics
dc.subjectScattering
dc.titleSemiclassical approximations in phase space with coherent states
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución