On Lavine's formula for time-delay.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1984 Germany Publisher:Mathematical Sciences PublishersJournal:MATHEMATICA SCANDINAVICA, volume 54, page 253 (issn: 0025-5521, eissn: 1903-1807,

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Authors: Jensen, Arne;

doi: 10.7146/math.scand.a-12057

On Lavine's formula for time-delay.

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Abstract

La formule de Lavine donne une relation entre temps de retard et potentiel en theorie de la diffusion. On donne une demonstration dependante du temps pour des potentiels V=V 1 +V 2 , V 1 (x)=0(|x| −1− e), x•⊇V 1 (x)=0(|x| −1− e), V 2 (x)=0(|x| −2− e) quand |x|→∞

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Germany

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Keywords

Schrödinger operator, 510.mathematics, Scattering theory for PDEs, wave operators, Eisenbud-Wigner time-delay operator, spectral measure, Article, point spectrum, Ordered topological linear spaces, vector lattices

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