Exact behavior of Jost functions at low energy

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dc.contributorVirginia Techen
dc.contributor.authorKlaus, Martinen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:18Zen
dc.date.available2014-04-09T18:12:18Zen
dc.date.issued1988-01en
dc.description.abstractFor Schrödinger operators with central potential q(r) and angular momentuml, the behavior of the Jost function F l (k) as k→0 is investigated. It is assumed that ∫∞ 0 d r (1+r)σ‖q(r)‖<∞, where σ≥1. Situations where q is integrable with 1≤σ<2, but not with σ≥2 are of particular interest. For potentials satisfying q(r)∼q 0 r −2−ε (0<ε≤1) and l=0, the leading behavior of F 0(k) and the phase shift δ0(k) as k→0 is derived. Also comments are made on the differentiability properties of the Jost solutions with respect to the variable k at k=0. For σ=1 Levinson’s theorem is proved, thereby clarifying some questions raised recently by Newton [J. Math. Phys. 2 7, 2720 (1986)].en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKlaus, M., "Exact behavior of Jost functions at low energy," J. Math. Phys. 29, 148 (1988); http://dx.doi.org/10.1063/1.528167en
dc.identifier.doihttps://doi.org/10.1063/1.528167en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47041en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/29/1/10.1063/1.528167en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectangular momentumen
dc.titleExact behavior of Jost functions at low energyen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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