2000/05/18 by Guannan Wei, G. W. Wei, Wei, G. W. +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Matrix Theory and Algorithms #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0005053
11 pages
arxiv created 2000/05/18 · openalex publication_date 2000/05/18 · arxiv updated 2016/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A proposal is made for reducing the solution of the N-particle Lippmann-Schwinger equation to that of smaller sets of particles. This consists of first writing the N-particle equation in terms of all possible N/2-particle Lippmann-Schwinger equations. (If N is odd this needs a minor modification.) The second step requires a decoupling of the resolvents for the fewer particle systems so that each can be solved separately. This generalization of the Faddeev approach deals only with connected kernels and the homogeneous solution reproduces the N-particle Schrödinger equation. For four particles the proposed method involves only a 3×3 matrix whereas other approaches typically require the solution of at least a 7×7 matrix equation.