Inverse scattering problem at fixed energy for a solvable class of potentials
- 1 October 1989
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 5 (5), 817-830
- https://doi.org/10.1088/0266-5611/5/5/010
Abstract
The quantal inverse problem at fixed energy is solved for a large class of scattering functions. The rational and non-rational 'Bargmann' schemes of previous works are special cases of this method. Various interesting features in the relation between the scattering functions and the associated solvable potentials are studied in detail. It is shown that there is a rather abrupt transition between the rational and the non-rational 'Bargmann' schemes.Keywords
This publication has 10 references indexed in Scilit:
- Optical potentials from the scattering cross section by inversionPhysical Review C, 1985
- A method for S-matrix to potential inversion at fixed energyNuclear Physics A, 1985
- Potential inversion for p- and α-scattering at fixed energyNuclear Physics A, 1984
- Inverse problem for potential scattering at fixed energy. II.The European Physical Journal A, 1981
- Modification of the Newton Method for the Inverse-Scattering Problem at Fixed EnergyPhysical Review Letters, 1980
- Inverse problem for potential scattering at fixed energyZeitschrift für Physik A Atoms and Nuclei, 1978
- Method for optical model analysis of alpha-nucleus elastic scatteringPhysical Review C, 1978
- The form factor of the real part of the α-nucleus potential studied over a wide energy rangeNuclear Physics A, 1977
- The inverse problem: some applications of the newton-sabatier methodLettere al Nuovo Cimento (1971-1985), 1977
- On the Connection between Phase Shifts and Scattering PotentialReviews of Modern Physics, 1949