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 Jmatrix 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 Jmatrix 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 cofounders of the method, E.J. Heller and H.A. Yamani, who are also coeditors of the volume. 
Contents 
Two of the Original Papers  New L2 Approach to Quantum Scattering: Theory  JMatrix Method: Extensions to Arbitrary Angular Momentum and to Coulomb Scattering  Theoretical and Mathematical Considerations  Oscillator Basis in the JMatrix Method: Convergence of Expansions, Asymptotics of Expansion Coefficients and Boundary Conditions  Scattering Phase Shift for Relativistic Separable Potentials with LaguerreType Form Factors  Accurate Evaluation of the SMatrix for MultiChannel Analytic and NonAnalytic Potentials in Complex L2 Bases  JMatrix and Isolated States  On the Regularization in JMatrix Methods  Applications in Atomic Physics  The JMatrix Method: A Universal Approach to Description of Ionization of Atoms  JMatrix 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  JMatrix Approach to LooselyBound ThreeBody Nuclear Systems  NucleonNucleon Interaction in the JMatrix Inverse Scattering Approach and FewNucleon Systems  The Modified JMatrix 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: Jmatrix method. [New York] : Springer, 2008 9781402060724 1402060726 (DLC) 2008921100 (OCoLC)174130520 
