<i>ζ</i>-function for a model with spectral dependent boundary conditions

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dc.catalogadordfo
dc.contributor.authorFalomir, Horacio
dc.contributor.authorLoewe, Marcelo
dc.contributor.authorMuñoz, Enrique
dc.contributor.authorRojas Gómez-Lobo, Juan Cristóbal
dc.date.accessioned2025-03-12T13:42:12Z
dc.date.available2025-03-12T13:42:12Z
dc.date.issued2025
dc.description.abstractWe explore the meromorphic structure of the zeta-function associated with the boundary eigenvalue problem of a modified Sturm-Liouville operator subject to spectral-dependent boundary conditions at one end of a segment of length l. We find that it presents isolated simple poles that follow the general rule valid for second-order differential operator subject to standard local boundary conditions. We employ our results to evaluate the determinant of the operator and the Casimir energy of the system it describes, and study its dependence on l for both the massive and the massless cases.
dc.format.extent39 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1088/1751-8121/adb403
dc.identifier.eissn1751-8121
dc.identifier.issn1751-8113
dc.identifier.urihttps://doi.org/10.1088/1751-8121/adb403
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/102509
dc.identifier.wosidWOS:001424744500001
dc.information.autorucInstituto de Física; Rojas Gomez-lobo Juan Cristobal; S/I; 69197
dc.issue.numero7
dc.language.isoen
dc.nota.accesoContenido parcial
dc.revistaJournal of Physics A: Mathematical and Theoretical
dc.rightsacceso restringido
dc.subjectBoundary eigenvalue problem
dc.subject<italic>zeta</italic>-function
dc.subjectCasimir energy
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.title<i>ζ</i>-function for a model with spectral dependent boundary conditions
dc.typeartículo
dc.volumen58
sipa.codpersvinculados69197
sipa.trazabilidadWOS;2025-03-01
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