Synopses & Reviews
Synopsis
This volume aims to provide the fundamental knowledge to appreciate the advantages of the J-matrix method and to encourage its use and development. J-matrix is an algebraic method of quantum scattering with substantial success in atomic and nuclear physics.
Table of Contents
Foreword 1: Two of the Original Papers. 1.1. New L2 approach to quantum scattering: Theory; E.J. Heller and H.A. Yamani. 1.2. J-matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering; H.A. Yamani and L. Fishman. 2: Theoretical and Mathematical Considerations. 2.1: Oscillator basis in the J-matrix method: convergence of expansions, asymptotic of expansion coefficients and boundary conditions; S.Yu. Igashov. 2.2. Scattering phase shift for relativistic separable potential with Laguerre-type form factors; A.D. Alhaidari. 2.3. Accurate evaluation of the S-matrix for multi-channel analytic and non-analytic poetentials in complex L2 bases; H.A. Yamani and M.S. Abdelmonem. 2.4. J-matrix and isolated states; A.M. Shirokov and S.A. Zaytsev. 2.5. On the regularization in J-matrix methods; J. Broeckhove, V.S. Vasilevsky, F. Arickx and A.M. Sythcheva. 3: Applications in Atomic Physics. 3.1. The J-matrix method: a universial approach for the description of the process of ionization of atoms; V.A. Knyr, V.V. Nasyrov, Yu.V. Popov and S.A. Zaytsev. 3.2. Coulomb-Sturmian separable expansion approach to the Faddeev-type integral equations of the three-body Coulomb problem; Z. Papp. 3.3. The use of complex scaling method to calculate resonance partial widths; H.A. Yamani and M.S. Abdelmonem. 4: Applications in Nuclear Physics. 4.1. J-matrix approach to loosely-bound three-body nuclear systems; Yu.A. Lurie and A.M. Shirokov. 4.2. Nucleon-nucleon interaction in the J-matrix inverse scattering approach and few-nucleon systems; A.M. Shirokov, S.A. Zaytsev, A.I. Mazur, J.P. Vary and T.A. Weber. 4.3. The modified J-matrix approach for cluster descriptions of light nuclei; F. Arickx, J. Broeckhove, A. Nesterov, V. Vasilevsky and W. Vanroose. 5: Other Related Methods: Chemical Physics Application. 5.1. A generalized formulation of density functional theory with auxiliary basis sets; B.G. Johnson and D.A. Holder