Potential scattering in the generator Coordinate method |
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Authors: | O Schöller R.M Dreizler |
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Affiliation: | Institut für Theoretische Physik, Universität Frankfurt/Main, Federal Republic of Germany |
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Abstract: | The generator coordinate formulation of the quantum-mechanical scattering problem transforms the solution of a problem in Hilbert space into an equivalent problem in Banach space. The structure of this problem is, however, that of an ill-posed problem. In order to shed some light onto the numerical intricacies, we investigate a number of potential scattering systems. One finds that, notwithstanding the numerical uncertainties of the weight function, excellent results for phase shifts (and scattering solutions) can be obtained. |
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