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Preface | ||
Introduction | ||
Pt. 1 | Energy Spectrum of Many-electron Atom. Radiative and Autoionizing Transitions (Initial Formulas) | 1 |
1 | Non-relativistic atomic Hamiltonian and relativistic corrections | 3 |
2 | Relativistic atomic Hamiltonian. New wave function | 10 |
3 | Perturbation theory for the energy of an atom | 16 |
4 | Radiative and autoionizing electronic transitions. Generalized expressions for electric multipole (Ek) transition operators | 25 |
Pt. 2 | Foundations of the Angular Momentum Theory. Graphical Methods | 35 |
5 | Angular momentum and tensorial algebra | 37 |
6 | Main quantities of angular momentum theory | 48 |
7 | Angular momentum theory for relativistic case | 57 |
8 | Graphical methods: their generalization for perturbation theory | 63 |
Pt. 3 | Description of Complex Electronic Configurations | 71 |
9 | Non-relativistic and relativistic cases of a shell of equivalent electrons | 73 |
10 | Two and more shells of equivalent electrons | 85 |
11 | Classification of energy levels | 91 |
12 | Relations between various coupling schemes | 97 |
Pt. 4 | Second-quantization in the Theory of an Atom. Quasispin and Isospin | 107 |
13 | Second-quantization and irreducible tensorial sets | 109 |
14 | Operators and matrix elements in second-quantization representation | 121 |
15 | Quasispin for a shell of equivalent electrons | 138 |
16 | Algebraic expressions for coefficients of fractional parentage (CFP) | 160 |
17 | Tensorial properties and quasispin of complex configurations | 182 |
18 | Isospin in the theory of an atom | 200 |
Pt. 5 | Matrix Elements of the Energy Operator | 217 |
19 | The energy of a shell of equivalent electrons | 219 |
20 | Interaction energy of two shells in LS coupling | 235 |
21 | Semi-empirical methods for calculation of the energy spectra | 248 |
22 | Hyperfine structure of the energy spectra, isotopic and Lamb shift | 261 |
23 | Quasispin and isospin for relativistic matrix elements | 273 |
Pt. 6 | Electric and Magnetic Multipole Transitions | 291 |
24 | General expressions for electric (Ek) and magnetic (Mk) multipole radiation quantities | 293 |
25 | Non-relativistic matrix elements of the Ek-transitions | 305 |
26 | Relativistic matrix elements of Ek-transitions | 315 |
27 | Mk-transitions. Particular cases of E2- and M1-transitions | 323 |
Pt. 7 | Calculation of Energy Spectra and Electronic Transitions in the Case of Complex Configurations | 331 |
28 | Methods of determination of radial orbitals | 333 |
29 | Correlation effects. Perturbation theory | 346 |
30 | The role of gauge dependence, relativistic and correlation effects in electronic transitions | 357 |
31 | Peculiarities of the structure and spectra of highly ionized atoms | 368 |
32 | Global methods in the theory of many-electron atoms | 380 |
33 | Peculiarities of configurations with vacancies in inner shells | 392 |
Epilogue | 404 | |
References | 407 | |
Index | 422 |
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