Monte Carlo method for the many-body scattering problem

Y. Alhassid; S. E. Koonin

doi:10.1016/0003-4916(84)90254-9

Monte Carlo method for the many-body scattering problem

Y. Alhassid, S. E. Koonin

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	108-132
Number of pages	25
Journal	Annals of Physics
Volume	155
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(84)90254-9
State	Published - Jun 1984

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0003-4916(84)90254-9

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title = "Monte Carlo method for the many-body scattering problem",

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.",

author = "Y. Alhassid and Koonin, {S. E.}",

note = "Funding Information: in part by the National Science and the Department of Energy",

year = "1984",

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AU - Koonin, S. E.

N1 - Funding Information: in part by the National Science and the Department of Energy

PY - 1984/6

Y1 - 1984/6

N2 - 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.

AB - 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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Monte Carlo method for the many-body scattering problem

Abstract

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