Generalized Faddeev Equations for N-Particle Scattering

Details Generalized Faddeev Equations for N-Particle Scattering Generalized Faddeev Equations for N-Particle Scattering

2000-05-18

arxiv.org/abs/nucl-th/0005053v1

Physics

Nuclear Physics

Nuclear Theory

11 pages

Scientific paper

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 Schr\"odinger equation. For four particles the proposed method involves only a $3\times3$ matrix whereas other approaches typically require the solution of at least a $7\times7$ matrix equation.

Affiliated with

Also associated with

No associations

Rating

Generalized Faddeev Equations for N-Particle Scattering does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Faddeev Equations for N-Particle Scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Faddeev Equations for N-Particle Scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617468