A stationary proof of lavine's formula for time-delay

Arne Jensen

doi:10.1007/BF00419932

A stationary proof of lavine's formula for time-delay

Arne Jensen^*

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

8 Citationer (Scopus)

Abstract

Lavine's formula gives a connection between time-delay and potential in scattering theory. A proof is given for potentials V=V₁+V₂, |₁(x)|+|x·VV₁(x)|≤c(1+|x|)^-1-∈, V₂(x)=O(|x|^-2-e) as |x|→∞, using the stationary method. A new stationary representation for the time-delay operator is found.

Originalsprog	Engelsk
Tidsskrift	Letters in Mathematical Physics
Vol/bind	7
Udgave nummer	2
Sider (fra-til)	137-143
Antal sider	7
ISSN	0377-9017
DOI	https://doi.org/10.1007/BF00419932
Status	Udgivet - mar. 1983

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10.1007/BF00419932

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title = "A stationary proof of lavine's formula for time-delay",

abstract = "Lavine's formula gives a connection between time-delay and potential in scattering theory. A proof is given for potentials V=V1+V2, |1(x)|+|x·VV1(x)|≤c(1+|x|)-1-∈, V2(x)=O(|x|-2-e) as |x|→∞, using the stationary method. A new stationary representation for the time-delay operator is found.",

author = "Arne Jensen",

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AB - Lavine's formula gives a connection between time-delay and potential in scattering theory. A proof is given for potentials V=V1+V2, |1(x)|+|x·VV1(x)|≤c(1+|x|)-1-∈, V2(x)=O(|x|-2-e) as |x|→∞, using the stationary method. A new stationary representation for the time-delay operator is found.

UR - http://www.scopus.com/inward/record.url?scp=33745829685&partnerID=8YFLogxK

U2 - 10.1007/BF00419932

DO - 10.1007/BF00419932

M3 - Journal article

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JO - Letters in Mathematical Physics

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A stationary proof of lavine's formula for time-delay

Abstract

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