Integral operators in the theory of scattering

Misra, Baidyanath; Speiser, David; Targonski, György

doi:10.5169/seals-113411

Scientific article

English

Integral operators in the theory of scattering

ContributorsMisra, Baidyanath; Speiser, David; Targonski, György

Published inHelvetica physica acta, vol. 36, no. 7, p. 963-980

Publication date1963

Abstract

Von Neumann's work on the integral representation of self-adjoint operators is extended. It is shown that the S-operator is the sum of the identity transformation and a Carleman integral operator on the energy shell if and only if the total scattering cross section is finite.

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

MISRA, Baidyanath, SPEISER, David, TARGONSKI, György. Integral operators in the theory of scattering. In: Helvetica physica acta, 1963, vol. 36, n° 7, p. 963–980. doi: 10.5169/seals-113411

Article (Published version)

Identifiers

PID : unige:188808
DOI : 10.5169/seals-113411

Journal ISSN0018-0238

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Integral operators in the theory of scattering

Von Neumann's work on the integral representation of self-adjoint operators is extended. It is shown that the S-operator is the sum of the identity transformation and a Carleman integral operator on the energy shell if and only if the total scattering cross section is finite.

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