منابع مشابه
Fixed-energy inverse scattering
The author’s method for solving inverse scattering problem with fixed-energy data is described. Its comparison with the method based on the D-N map is given. A new inversion procedure is formulated. c © 2008 Elsevier Ltd. All rights reserved. MSC: 35R30; 47H17; 65M30; 81U05 PACS: 03.80.+r.; 03.65.Nk
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The one-dimensional Schriidinger equation with a potential k2 V( X) proportional to energy is studied. This equation is equivalent to the wave equation with variable speed. When V(X) < 1, is bounded below, and satisfies two integrability conditions, the scattering matrix is obtained and its asymptotics for small and large energies are established. The inverse scattering problem of recovering V(...
متن کاملInverse scattering with fixed - energy data ∗
The Newton-Sabatier method for solving inverse scattering problem with fixed-energy phase shifts for a sperically symmetric potential is discussed. It is shown that this method is fundamentally wrong in the sense that its foundations are wrong: in general it cannot be carried through because its basic integral equation may be not solvable for some r > 0 and in this case the method breaks down; ...
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1 Introduction In this lecture the author reviews his results on multidimensional inverse scattering. References to the works of other authors can be found in [20]. Five topics are briefly discussed:-1) property C with constraints and new type of the uniqueness theorems for inverse scattering,-2) inversion of noisy discrete fixed-energy 3D scattering data and error estimates,-3) variational pri...
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In these lectures I give an introduction to the time-dependent approach to inverse scattering, that has been developed recently. The aim of this approach is to solve various inverse scattering problems with time-dependent methods that closely follow the physical (and geometrical) intuition of the scattering phenomena. This method has been applied to many linear and nonlinear scattering problems...
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ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2008
ISSN: 0532-8721
DOI: 10.1619/fesi.51.189