Theoretical Atomic Spectroscopy

• Preface; Introduction; Part I. Energy Spectrum of Many-electron Atom. Radiative and Autoionizing Transitions (Initial Formulas): 1. Non-relativistic atomic Hamiltonian and relativistic corrections; 2. Relativistic atomic Hamiltonian. New wave function; 3. Perturbation theory for the energy of an atom; 4. Radiative and autoionizing electronic transitions. Generalized expressions for electric multipole (Ek) transition operators; Part II. Foundations of the Angular Momentum Theory. Graphical Methods: 5. Angular momentum and tensorial algebra; 6. Main quantities of angular momentum theory; 7. Angular momentum theory for relativistic case; 8. Graphical methods: their generalization for perturbation theory; Part III. Description of Complex Electronic Configurations: 9. Non-relativistic and relativistic cases of a shell of equivalent electrons; 10. Two and more shells of equivalent electrons; 11. Classification of energy levels; 12. Relations between various coupling schemes; Part IV. Second-quantization in the Theory of an Atom: Quasispin and Isospin: 13. Second-quantization and irreducible tensorial sets; 14. Operators and matrix elements in second-quantization representation; 15. Quasispin for a shell of equivalent electrons; 16. Algebraic expressions for coefficients of fractional parentage (CFP); 17. Tensorial properties and quasispin of complex configurations; 18. Isospin in the theory of an atom; Part V. Matrix Elements of the Energy Operator: 19. The energy of a shell of equivalent electrons; 20. Interaction energy of two shells in LS coupling; 21. Semi-empirical methods of calculation of the energy spectra; 22. Hyperfine structure of the energy spectra, isotopic and Lamb shift; 23. Quasispin and isospin for relativistic matrix elements; Part VI. Electric and Magnetic Multipole Transitions: 24. General expressions for electric (Ek) and magnetic (Mk) multipole radiation quantities; 25. Non relativistic matrix elements of the Ek-transitions; 26. Relativistic matrix elements of Ek-transitions; 27. Mk-transitions. Particular cases of E2- and M1-transitions; Part VII. Calculation of Energy Spectra and Electronic Transitions in the Case of Complex Configurations: 28. Methods of determination of radial orbitals; 29. Correlation effects. Perturbation theory; 30. The role of gauge dependence, relativistic and correlation effects in electronic transitions; 31. Peculiarities of the structure and spectra of highly ionized atoms; 32. Global methods in the theory of many-electron atoms; 33. Peculiarities of configurations with vacancies in inner shells; Epilogue; References; Index.

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