Zero energy asymptotics of the resolvent for a class of slowly decaying potentials

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dc.creatorFournais, S.
dc.creatorSkibsted, E.
dc.date2003-06-20
dc.date.accessioned2026-07-07T04:30:17Z
dc.date.available2026-07-07T04:30:17Z
dc.descriptionWe prove a limiting absorption principle at zero energy for two-body Schrödinger operators with long-range potentials having a positive virial at infinity. More precisely, we establish a complete asymptotic expansion of the resolvent in weighted spaces when the spectral parameter varies in cones; one of the two branches of boundary for the cones being given by the positive real axis. The principal tools are absence of eigenvalue at zero, singular Mourre theory and microlocal estimates.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0306051
dc.identifierhttp://arxiv.org/abs/math-ph/0306051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57422
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject81U05; 35P25
dc.titleZero energy asymptotics of the resolvent for a class of slowly decaying potentials
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