Two of the Original Papers. - New L2 Approach to Quantum Scattering: Theory. - J-Matrix Method: Extensions to Arbitrary Angular Momentum and to Coulomb Scattering. - Theoretical and Mathematical Considerations. - Oscillator Basis in the J-Matrix Method: Convergence of Expansions Asymptotics of Expansion Coefficients and Boundary Conditions. - Scattering Phase Shift for Relativistic Separable Potentials with Laguerre-Type Form Factors. - Accurate Evaluation of the S-Matrix for Multi-Channel Analytic and Non-Analytic Potentials in Complex L2 Bases. - J-Matrix and Isolated States. - On the Regularization in J-Matrix Methods. - Applications in Atomic Physics. - The J-Matrix Method: A Universal Approach to Description of Ionization of Atoms. - J-Matrix Green's Operators and Solving Faddeev Integral Equations for Coulombic Systems. - The Use of a Complex Scaling Method to Calculate Resonance Partial Widths. - Applications in Nuclear Physics. - J-Matrix Approach to Loosely-Bound Three-Body Nuclear Systems. - NucleonNucleon Interaction in the J-Matrix Inverse Scattering Approach and Few-Nucleon Systems. - The Modified J-Matrix Approach for Cluster Descriptions of Light Nuclei. - Other Related Methods: Chemical Physics Application. - A Generalized Formulation of Density Functional Theory with Auxiliary Basis Sets. Language: English