| Preface | |
| Introduction | |
| Energy Spectrum of Many-electron Atom | |
| Radiative and Autoionizing Transitions (Initial Formulas) | |
| Non-relativistic atomic Hamiltonian and relativistic corrections | |
| Relativistic atomic Hamiltonian | |
| New wave function | |
| Perturbation theory for the energy of an atom | |
| Radiative and autoionizing electronic transitions | |
| Generalized expressions for electric multipole (Ek) transition operators | |
| Foundations of the Angular Momentum Theory | |
| Graphical Methods | |
| Angular momentum and tensorial algebra | |
| Main quantities of angular momentum theory | |
| Angular momentum theory for relativistic case | |
| Graphical methods: their generalization for perturbation theory | |
| Description of Complex Electronic Configurations | |
| Non-relativistic and relativistic cases of a shell of equivalent electrons | |
| Two and more shells of equivalent electrons | |
| Classification of energy levels | |
| Relations between various coupling schemes | |
| Second-quantization in the Theory of an Atom: Quasispin and Isospin | |
| Second-quantization and irreducible tensorial sets | |
| Operators and matrix elements in second-quantization representation | |
| Quasispin for a shell of equivalent electrons | |
| Algebraic expressions for coefficients of fractional parentage (CFP) | |
| Tensorial properties and quasispin of complex configurations | |
| Isospin in the theory of an atom | |
| Matrix Elements of the Energy Operator | |
| The energy of a shell of equivalent electrons | |
| Interaction energy of two shells in LS coupling | |
| Semi-empirical methods of calculation of the energy spectra | |
| Hyperfine structure of the energy spectra, isotopic and Lamb shift | |
| Quasispin and isospin for relativistic matrix elements | |
| Electric and Magnetic Multipole Transitions | |
| General expressions for electric (Ek) and magnetic (Mk) multipole radiation quantities | |
| Non relativistic matrix elements of the Ek-transitions | |
| Relativistic matrix elements of Ek-transitions | |
| Mk-transitions | |
| Particular cases of E2- and M1-transitions | |
| Calculation of Energy Spectra and Electronic Transitions in the Case of Complex Configurations | |
| Methods of determination of radial orbitals | |
| Correlation effects | |
| Perturbation theory | |
| The role of gauge dependence, relativistic and correlation effects in electronic transitions | |
| Peculiarities of the structure and spectra of highly ionized atoms | |
| Global methods in the theory of many-electron atoms | |
| Peculiarities of configurations with vacancies in inner shells | |
| Epilogue | |
| References | |
| Index | |
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