Lindgren I., Morrison J. Atomic many-body theory

Second Edition, Springer-Verlag, Berlin, 1986. – 477 p.
This book has developed through a series of lectures on atomic theory given these last eight years at Chalmers University of Technology and several other research centers. These courses were intended to make the basic elements of atomic theory available to experimentalists working with the hyperfine structure and the optical properties of atoms and to provide some insight into recent developments in the theory. The original intention of this book has gradually extended to include a wide range of topics. We have tried to provide a complete description of atomic theory, bridging the gap between introductory books on quantum mechanics - such as the book by Merzbacher, for instance - and presentday research in the field. Our presentation is limited to static atomic properties, such as the effective electron-electron interaction, but the formalism can be extended without major difficulties to include dynamic properties, such as transition probabilities and dynamic polarizabilities.Angular-Momentum Theory and the Independent-Particle ModelAngular-Momentum and Spherical Tensor Operators.
Angular-Momentum Graphs.
Further Developments of Angular-Momentum Graphs. Applications to Physical Problems.
The Independent-Particle Model.
The Central-Field Model.
The Hartree-Fock Model.
Many-Electron Wave Function
Perturbation Theory and the Treatment of Atomic Many-Body Effects
Perturbation Theory.
First-Order Perturbation for Closed-Shell Atoms.
Second Quantization and the Particle-Hole Formalism.
Application of Perturbation Theory to Closed-Shell Systems.
Application of Perturbation Theory to Open-Shell Systems.
The Hyperfine Interaction.
The Pair-Correlation Problem and the Coupled-Cluster Approach.
Appendices.Author Index.
Subject Index.