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Ebook: Atomic Many-Body Theory

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27.01.2024
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This book has developed through a series of lectures on atomic theory given these last eight years at Chalmers University of Technology and several oth­ er 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 present­ day research in the field. Our presentation is limited to static atomic prop­ erties, 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.








Content:
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Introduction....Pages 3-5
Angular-Momentum and Spherical Tensor Operators....Pages 6-46
Angular-Momentum Graphs....Pages 47-79
Further Developments of Angular-Momentum Graphs. Applications to Physical Problems....Pages 80-102
The Independent-Particle Model....Pages 103-115
The Central-Field Model....Pages 116-133
The Hartree-Fock Model....Pages 134-162
Many-Electron Wave Functions....Pages 163-182
Front Matter....Pages 183-183
Perturbation Theory....Pages 184-211
First-Order Perturbation for Closed-Shell Atoms....Pages 212-223
Second Quantization and the Particle-Hole Formalism....Pages 224-250
Application of Perturbation Theory to Closed-Shell Systems....Pages 251-284
Application of Perturbation Theory to Open-Shell Systems....Pages 285-334
The Hyperfine Interaction....Pages 335-380
The Pair-Correlation Problem and the Coupled-Cluster Approach....Pages 381-423
Back Matter....Pages 424-472



Content:
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Introduction....Pages 3-5
Angular-Momentum and Spherical Tensor Operators....Pages 6-46
Angular-Momentum Graphs....Pages 47-79
Further Developments of Angular-Momentum Graphs. Applications to Physical Problems....Pages 80-102
The Independent-Particle Model....Pages 103-115
The Central-Field Model....Pages 116-133
The Hartree-Fock Model....Pages 134-162
Many-Electron Wave Functions....Pages 163-182
Front Matter....Pages 183-183
Perturbation Theory....Pages 184-211
First-Order Perturbation for Closed-Shell Atoms....Pages 212-223
Second Quantization and the Particle-Hole Formalism....Pages 224-250
Application of Perturbation Theory to Closed-Shell Systems....Pages 251-284
Application of Perturbation Theory to Open-Shell Systems....Pages 285-334
The Hyperfine Interaction....Pages 335-380
The Pair-Correlation Problem and the Coupled-Cluster Approach....Pages 381-423
Back Matter....Pages 424-472
....
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