J-matrix method of scattering for potentials with inverse square singularity: The real representation

Abstract

The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful scattering methods. Recently, we extended the method to the treatment of potentials with 1/r singularity. In this work, we do the same for 1/r^2 singular potentials.

14 pages, two figures, 2 tables

References in corpus (6)

• The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states
• The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach
• On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions
• Singular Short Range Potentials in the J-Matrix Approach
• New method for evaluating integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example
• Studying resonance in the complex charge plane

Cited by in corpus (2)

• J-matrix method of scattering for inverse-square singular potential with supercritical coupling I. Theory
• J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization