Titlebook: Inverse and Algebraic Quantum Scattering Theory; Proceedings of a Con Barnabás Apagyi,Gábor Endrédi,Péter Lévay Conference proceedings 1997

Harbor

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One-Dimensional Inversion in Neutron and X-Ray Reflection,The application of the one-dimensional inverse scattering problem to neutron and x-ray specular reflection is discussed. Consideration is given to the problems of the numerical treatment as well as to the limitations on the input, in particular, the phase problem.

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Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory,We present a new numerical method for solving the problem of the reconstruction of interaction potential by a phase shift given on a set of closed intervals in (.)-plane, satisfying certain geometrical “Staircase Condition”. The method is based on the Variable Phase Approach and on the modification of the Continuous Analogy of the Newton Method.

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The Method of the Weakly Conjugate Operator,We present an improvement of the Kato-Putnam theorem. We apply this to the spectral theory of some classes of generalized differential operators.

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https://doi.org/10.1007/978-3-662-14145-8electron; heavy ion; inverse scattering; ion; neutron; nonlinear problems; nucleon; quantum chemistry; quant

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0075-8450 ttering theory and supersymmetrical quantum mechanics. The contributions cover such issues as coupled-channel inversions at fixed energy, inversion of pion-nucleon scattering cross-sections into potentials, inversions in neutron and x-ray reflection, 3-dimensional fixed-energy inversion, inversion o

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Fixed-Energy Inversion of Polarisation-Corrected Electron-Atom Scattering Phase-Shifts into Effectiifts. Examples involving synthetic as well as experimental phase-shifts show that the new method is capable of determining electron-atom potentials from a substantially smaller set of data at the cost of a prior determination of the underlying complex polarisation phase-shifts.

LAVA

Conference proceedings 1997 scattering data affected by dipole polarization, nucleon-nucleon potentials by inversion versus meson-exchange theory, potential reversal and reflectionless impurities in periodic structures, quantum design in spectral, scattering, and decay control, solution hierarchy of Toda lattices, etc.

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Conference proceedings 1997eory and supersymmetrical quantum mechanics. The contributions cover such issues as coupled-channel inversions at fixed energy, inversion of pion-nucleon scattering cross-sections into potentials, inversions in neutron and x-ray reflection, 3-dimensional fixed-energy inversion, inversion of electron