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Titlebook: Inverse Problems in Quantum Scattering Theory; K. Chadan,P. C. Sabatier,R. G. Newton Book 1989Latest edition Springer-Verlag New York Inc.

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Inverse Problems in One Dimension,ensions, and its radial one-dimensional counterpart on the half-line 0 ≤ . < ∞. It has given rise to numerous studies because of its applications in many electrical engineering problem, among which we may mention:
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Numerical Problem,y a time-independent formulation. We assume that we know a good model to describe the interaction, for instance, the Schrödinger equation, where the parameter describing the interaction is called “the potential.” Hence, the central rule of our work is a mathematical model enabling us to define a mapping . from a “.” ., into a “.” ℰ.
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https://doi.org/10.1007/978-3-642-83317-5Inverses Streuproblem; Potential; calculus; inverse scattering problem; inverse scattering theory; numeri
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978-3-642-83319-9Springer-Verlag New York Inc. 1989
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Book 1989Latest editionation of radiation on the basis of a known constitution of matter. The inverse problem is to conclude what the forces or constitutions are on the basis of the observed motion. A large part of our sensory contact with the world around us depends on an intuitive solution of such an inverse problem: We
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Potentials from the Scattering Amplitude at Fixed Energy: General Equation and Mathematical Tools, the case of two colliding particles, below the first inelastic threshold, in the nonrelativistic range. In detail we have . where . is the distance between the two particles, . and. are, respectively, proportional to the energy and the potential energy in terms of the reduced mass, . = 2mE/h., . = 2mV(r)/h..
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Miscellaneous Approaches to Inverse Problems at Fixed Energy, (Sabatier-Hooshyar construction of spin-orbit potentials, and generalizations), which in turn enabled the development, by analogy, of the Jaulent-Jean method for inverse problems at fixed . with potentials depending linearly on
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