Eigenvalue Asymptotics in a Twisted Waveguide

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dc.contributor.authorBriet, Philippe
dc.contributor.authorKovarik, Hynek
dc.contributor.authorRaikov, Georgi
dc.contributor.authorSoccorsi, Eric
dc.date.accessioned2024-01-10T12:38:39Z
dc.date.available2024-01-10T12:38:39Z
dc.date.issued2009
dc.description.abstractWe consider a twisted quantum wave guide i.e., a domain of the form :=r x where 2 is a bounded domain, and r=r(x3) is a rotation by the angle (x3) depending on the longitudinal variable x3. We are interested in the spectral analysis of the Dirichlet Laplacian H acting in L2(). We suppose that the derivative [image omitted] of the rotation angle can be written as [image omitted](x3)=-epsilon(x3) with a positive constant and epsilon(x3) L|x3|-, |x3|. We show that if L0 and (0,2), or if LL00 and =2, then there is an infinite sequence of discrete eigenvalues lying below the infimum of the essential spectrum of H, and obtain the main asymptotic term of this sequence.
dc.fechaingreso.objetodigital2024-05-08
dc.format.extent19 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1080/03605300902892337
dc.identifier.eissn1532-4133
dc.identifier.issn0360-5302
dc.identifier.urihttps://doi.org/10.1080/03605300902892337
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77078
dc.identifier.wosidWOS:000274420300002
dc.information.autorucMatemática;Raykov G;S/I;1004967
dc.issue.numero8
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final836
dc.pagina.inicio818
dc.publisherTAYLOR & FRANCIS INC
dc.revistaCOMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectEigenvalue asymptotics
dc.subjectSchrodinger operators
dc.subjectWaveguides
dc.subjectSCHRODINGER OPERATOR
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleEigenvalue Asymptotics in a Twisted Waveguide
dc.typeartículo
dc.volumen34
sipa.codpersvinculados1004967
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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