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Title The J-matrix method : developments and applications / Abdulaziz D. Alhaidari [and others], editors ; foreword by Hashim A. Yamani and Eric J. Heller.
Imprint [New York] : Springer, 2008.

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Subject Quantum scattering -- Mathematics.
Scattering (Physics)
Alt Name Alhaidari, Abdulaziz Dakhel, 1954-
Description 1 online resource (xvii, 356 pages) : illustrations
Bibliography Note Includes bibliographical references and index.
Summary The J-matrix is an algebraic method of quantum scattering with substantial success in atomic and nuclear physics. The accuracy and convergence property of the method compares favorably with other successful scattering calculation methods. Although introduced thirty years ago, the J-matrix method has witnessed a resurgence of interest in the last few years. This volume gives a brief account of recent developments and some selected applications of the method in atomic and nuclear physics. It contains an edited collection of new and original contributions of 24 prominent researchers from different parts of the World. The book is compiled of 14 chapters that are grouped into 5 sections. Each chapter is written as an independent article by one or more authors. The volume starts with a Foreword by the two co-founders of the method, E.J. Heller and H.A. Yamani, who are also co-editors of the volume.
Contents 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 -- Nucleon-Nucleon 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.
Note Print version record.
ISBN 9781402060731
1402060734
9781402060724
1402060726
1281239453
9781281239457
OCLC # 261324676
Additional Format Print version: J-matrix method. [New York] : Springer, 2008 9781402060724 1402060726 (DLC) 2008921100 (OCoLC)174130520