Multiple Scattering from Overlapping Potentials : The Effective Propagator Approximation

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概要

• 論文の詳細を見る

• We propose a theoretical technique to solve the problem of scattering from an assembly of overlapping potentials. The method is called effective propagator approximation and can describe the off-shell effects due to the overlap of potentials. The solution involves a matrix inversion similar to the one found previously in treating scattering from non-overlapping potentials or from separable potentials. The approximation consists in replacing the exact free Green's function by an effective operator of simpler nature. The effective operator is determined by means of a variational principle so as to minimize the error coming from the replacement. The method is shown to reproduce as special cases the exact solutions to the problems with non-overlapping potentials and with separable ones, and is expected to work in the case of realistic, inseparable and overlapping potentials.

• 理論物理学刊行会の論文
• 1975-10-25

著者

• Obu Mitsuaki

  Department Of Physics And Atomic Energy Research Institute College Of Science And Technology Nihon U

• Obu Mitsuaki

  Department Of Physics And Atomic Energy Research Institute College Of Science And Engineering Nihon

関連論文

• Generalized Eikonal Approximation and Multiple-Scattering Formalism at High Energies
• Kohn-Hulthen Variational Method for Bound-State Problems
• Comments on the Ordering Problem in the Application of the Glauber Multiple-Scattering Theory
• Linked Cluster Decomposition of an S Matrix : Generalization of the Eikonal Approximation
• Geometrical Corrections to the Glauber Multiple-Scattering Theory
• Multiple Scattering from Overlapping Potentials : The Effective Propagator Approximation

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