By extending Riemann's method to the case of unbounded domains, a new rigorous approach to the inverse problem of scattering theory is developed. The proposed approach allows one to deal with scattering of bothcharged andneutral particles in the framework of a universalscheme which is also ...
The aim of the present paper is to investigate the inverse scattering problem on the half-line [0,∞) for some version of the one-dimensional Schrödinger equation with turning. In the case of ρ(x)=1, the inverse problem of scattering theory for (1.1) with boundary condition not contain...
In the present paper, we consider the inverse problem for the perturbed Stark operator. We obtain necessary and sufficient conditions on the set of values, which could serve as scattering data for the considered operator, and we prove their sufficiency....
The problem of reduction for systems of nonlinear equations integrable by the inverse scattering method is discussed. It is shown that reduction can be con... AV Mikhailov - 《Physica D Nonlinear Phenomena》 被引量: 538发表: 1981年 The Inverse Scattering Method Zakharov. Theory of solitons: The...
Nucleon-nucleon potentials have been calculated from scattering phase shifts using the solution of the inverse problem of scattering theory due to Marchenk... J Benn,G Scharf - 《Nuclear Physics A》 被引量: 4发表: 1969年 On the inverse problem for the scattering theory of charged particles wh...
Inverse Scattering Problem for Dirac Operators with Magnetic Potentials at a Fixed Energy(Spectral and Scattering Theory and Its Related Topics) 後藤 政孝 数理解析研究所講究録 0994, 1-14, 1997-05 政孝 後藤 - 数理解析研究所講究録 被引量: 2发表: 1997年 Operators of Binary Darboux Transformations...
The inverse problem of scattering theory for the anharmonic equation on the half-axis. Objective: To explor the effects of cathepsin D on proliferation,migration and invasion of CD11 b positive bone marrow derived cells( BMDCs) in vitro and e... MG Gasymov,BA Mustafaev - 《Journal of Sout...
Scattering theorySpectral densityCoherencePolarizationInverse problemIn this review, some recent progress concerning the direct and inverse problems in the theory of light scattering are discussed. The basic theory of light scattering is presented within the accuracy of the first-order Born approximation, ...
摘要: We review Martin's inverse scattering method and Cornille's subsequent work on it's relation to the standard Gelfand -Levitan-Marchenko method. For the Yukawian class of potentials one obtains explicit solutions for the Marchenko equation, the potential, and the Jost functions.关键词:...
Mamedov, KR: Uniqueness of the solution to the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the ... KR Mamedov - 《Mathematical Notes》 被引量: 39发表: 2003年 Application of the Singular Wave Function Operator in Scattering Theory. II In ...