Monte Carlo method for the many-body scattering problem |
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Authors: | Y Alhassid S.E Koonin |
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Affiliation: | Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 USA |
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Abstract: | The non-relativistic many-body scattering problem is cast in a form suitable for treatment by Monte Carlo methods. The formulation is based on resonant standing waves of the compound system, similar to those used in the R-matrix theory of nuclear reactions. Integral expressions are derived from which the scattering matrix elements at low energies can be evaluated. The method is demonstrated by application to simple one- and two-channel one-dimensional scattering problems. |
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