Resonances for Schrodinger operators with compactly supported potentials

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dc.creatorChristiansen, T. J.
dc.creatorHislop, P. D.
dc.date2009-01-08
dc.date.accessioned2026-07-07T12:27:40Z
dc.date.available2026-07-07T12:27:40Z
dc.descriptionWe describe the generic behavior of the resonance counting function for a Schrödinger operator with a bounded, compactly-supported real or complex valued potential in $d \geq 1$ dimensions. This note contains a sketch of the proof of our main results \cite{ch-hi1,ch-hi2} that generically the order of growth of the resonance counting function is the maximal value $d$ in the odd dimensional case, and that it is the maximal value $d$ on each nonphysical sheet of the logarithmic Riemann surface in the even dimensional case. We include a review of previous results concerning the resonance counting functions for Schrödinger operators with compactly-supported potentials.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0901.1103
dc.identifierhttp://arxiv.org/abs/0901.1103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215283
dc.subjectMathematical Physics
dc.subject35P25, 47A10, 47A40, 81U20
dc.titleResonances for Schrodinger operators with compactly supported potentials
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