Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators

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dc.contributor.authorNguyen, H. S.
dc.contributor.authorRichard, S.
dc.contributor.authorTiedra de Aldecoa, R.
dc.date.accessioned2025-01-20T21:09:23Z
dc.date.available2025-01-20T21:09:23Z
dc.date.issued2022
dc.description.abstractWe present a detailed study of the scattering system given by the Neumann Laplacian on the discrete half-space perturbed by a periodic potential at the boundary. We derive asymptotic resolvent expansions at thresholds and eigenvalues, we prove the continuity of the scattering matrix, and we establish new formulas for the wave operators. Along the way, our analysis puts into evidence a surprising relation between some properties of the potential, like the parity of its period, and the behaviour of the integral kernel of the wave operators.
dc.fuente.origenWOS
dc.identifier.doi10.1002/mana.201900430
dc.identifier.eissn1522-2616
dc.identifier.issn0025-584X
dc.identifier.urihttps://doi.org/10.1002/mana.201900430
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93528
dc.identifier.wosidWOS:000781282900001
dc.issue.numero5
dc.language.isoen
dc.pagina.final949
dc.pagina.inicio912
dc.revistaMathematische nachrichten
dc.rightsacceso restringido
dc.subjectdiscrete Laplacian
dc.subjectresolvent expansions
dc.subjectscattering matrix
dc.subjectthresholds
dc.subjectwave operators
dc.titleDiscrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators
dc.typeartículo
dc.volumen295
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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