A Discrete Version of the Inverse Scattering Problem and the J-matrix Method

Abstract

The problem of the Hamiltonian matrix in the oscillator and Laguerre basis construction from the S-matrix is treated in the context of the algebraic analogue of the Marchenko method.

11 pages. The Laguerre basis case is added

References in corpus (4)

• Nucleon-nucleon interaction in the $J$-matrix inverse scattering approach and few-nucleon systems
• NN potentials from inverse scattering in the J-matrix approach
• J-matrix method of scattering in any L2 basis
• Inverse eigenvalue problem for discrete three-diagonal Sturm-Liouville operator and the continuum limit

Cited by in corpus (1)

• The $J$-matrix inverse scattering approach for coupled channels with different thresholds