Representations for the Three-Body T-Matrix, Scattering Matrices and Resolvent in Unphysical Energy Sheets

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dc.creatorMotovilov, A. K.
dc.date1995-09-22
dc.date1998-03-19
dc.date.accessioned2026-07-07T08:59:17Z
dc.date.available2026-07-07T08:59:17Z
dc.descriptionExplicit representations for the Faddeev components of the three-body T-matrix continued analytically into unphysical sheets of the energy Riemann surface are formulated. According to the representations, the T-matrix in unphysical sheets is explicitly expressed in terms of its components taken in the physical sheet only. The representations for the T-matrix are then used to construct similar representations for the analytic continuation of the three-body scattering matrices and the resolvent. Domains on unphysical sheets are described where the representations obtained can be applied. A method for finding three-body resonances based on the Faddeev differential equations is proposed.
dc.descriptionLaTeX file of the published version of the paper
dc.identifierhttps://arxiv.org/abs/funct-an/9509003
dc.identifierhttp://arxiv.org/abs/funct-an/9509003
dc.identifierMath. Nachr. 187 (1997), 147-210
dc.identifierdoi:10.1002/mana.19971870110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147657
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A40 81U10 (Primary) 32D15 35J10 (Secondary)
dc.titleRepresentations for the Three-Body T-Matrix, Scattering Matrices and Resolvent in Unphysical Energy Sheets
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