Absence of point spectrum for unitary operators

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dc.contributor.authorAstaburuaga, M. A.
dc.contributor.authorBourget, O.
dc.contributor.authorCortes, V. H.
dc.contributor.authorFernandez, C.
dc.date.accessioned2024-01-10T13:10:48Z
dc.date.available2024-01-10T13:10:48Z
dc.date.issued2008
dc.description.abstractLet us consider the time-dependent Schrodinger equation,
dc.description.abstracti phi(t) = -Delta phi + V (x, t)phi,
dc.description.abstracton the Hilbert space L-2(R-n), where V (x, t) is a repulsive periodic time-dependent potential, with period T. We denote by (U(t, s))((t,s)is an element of RxR) its associated propagator. First, using a multiplier method, we rule out the existence of regular eigenvectors of the Floquet operator U(T, 0). Secondly, strengthening the hypotheses on the potential V, we prove that the spectrum of U(T, 0) does not contain any eigenvalues, by means of positive commutator methods. (c) 2007 Elsevier Inc. All rights reserved.
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent13 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2007.10.025
dc.identifier.eissn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2007.10.025
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77937
dc.identifier.wosidWOS:000253050300001
dc.information.autorucMatemática;Astaburuaga MA;S/I;99335
dc.information.autorucMatemática;Bourget O;S/I;1003200
dc.information.autorucMatemática;Cortés VH;S/I;99652
dc.information.autorucMatemática;Fernández C;S/I;99695
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final241
dc.pagina.inicio229
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectpoint spectrum
dc.subjectpropagator
dc.subjectcommutator
dc.subjectSchrodinger equation
dc.subjectTIME-DEPENDENT HAMILTONIANS
dc.subjectSCATTERING THEORY
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleAbsence of point spectrum for unitary operators
dc.typeartículo
dc.volumen244
sipa.codpersvinculados99335
sipa.codpersvinculados1003200
sipa.codpersvinculados99652
sipa.codpersvinculados99695
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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