Two-Body Interaction. I. Inverse Scattering Problem, Nonlocal Potentials, and a Conception of Quantum Measurement Theory

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dc.creatorMuzafarov, V. M.
dc.date2007-02-15
dc.date.accessioned2026-07-07T07:59:13Z
dc.date.available2026-07-07T07:59:13Z
dc.descriptionThe present paper generalizes preceding papers of the author and opens a cycle of works concerning the general posing and solution in analytic form of the quantum-mechanical inverse scattering problem (for a given partial channel) in a nontraditional setting: the scattering wave function in the momentum representation is recovered immediately from the scattering data. The solution we find for the problem in question is given by a family of phase-equivalent wave functions with explicitly controlled functional-analytic arbitrariness. This arbitrariness corresponds to the arbitrariness in the choice of phase-equivalent nonlocal potentials and causes the necessary to include some additional concepts of quantum measurement theory to a complete description of quantum-mechanical systems. The mathematical apparatus of the approach thus developed is illustrated by the example of describing the nucleon-nucleon interaction in uncoupled partial channels.
dc.description21 pages, 2 figures, in Russian
dc.identifierhttps://arxiv.org/abs/nucl-th/0702053
dc.identifierhttp://arxiv.org/abs/nucl-th/0702053
dc.identifierRussian J. Math Phys. 14:1 (2007) 96-109
dc.identifierdoi:10.1134/S1061920807010062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128286
dc.subjectNuclear Theory
dc.titleTwo-Body Interaction. I. Inverse Scattering Problem, Nonlocal Potentials, and a Conception of Quantum Measurement Theory
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