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Bartschat K. (Ed.) Computational Atomic Physics: Electron and Positron Collisions with Atoms and Ions

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Bartschat K. (Ed.) Computational Atomic Physics: Electron and Positron Collisions with Atoms and Ions
Springer, 1996. — 263 p. — ISBN-13 978-3-642-64655-3.
"Computational Atomic Physics" deals with computational methods for calculating electron (and positron) scattering from atoms and ions, including elastic scattering, excitation, and ionization processes. After an introductory chapter on atomic collision theory, two chapters are devoted to the bound-state wavefunctions. A description of perturbative methods is followed by discussions of the standard non-perturbative close-coupling theory, the R-matrix method, and the recently developed "convergent-close-coupling" approach. The details of calculating accurate Coulomb and Bessel functions are treated as well. Finally, the calculation of scattering amplitudes is discussed and an introduction to the density-matrix theory is given. The book provides a practical application of advanced quantum mechanics. The abstract equations of general scattering theory are reduced to numerically solvable differential and integral equations, and computer codes for the solution are provided. Numerous suggested problems in the text and ten programs on a diskette contribute to a deeper understanding of the field.

Electron-Atom Scattering Theory: An Overview.
Core Potentials for Quasi One-Electron Systems.
Energies and Oscillator Strengths Using Configuration Interaction Wave Functions.
The Distorted-Wave Method for Elastic Scattering and Atomic Excitation.
Xixiang Z. Distorted-Wave Methods for Ionization.
The Close-Coupling Approximation.
The R-Matrix Method.
Momentum-Space Convergent-Close-Coupling Method for a Model e-H Scattering Problem.
The Calculation of Spherical Bessel and Coulomb Functions.
Scattering Amplitudes for Electron-Atom Scattering.
Density Matrices: Connection Between Theory and Experiment.
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