Nonlinear extension of the J-matrix method of scattering: A toy model

Abstract

We introduce nonlinear extension of the J-matrix method of scattering. The formulation relies predominantly on the linearization of products of orthogonal polynomials. We present a toy model as an illustrative example and obtain the nonlinear scattering matrix.

11 pages, 1 figure

References in corpus (2)

• Quantum mechanics with orthogonal polynomials
• Exact and simple formulas for the linearization coefficients of products of orthogonal polynomials and physical application