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Theoretical Atomic Spectroscopy Book

Theoretical Atomic Spectroscopy
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  • Theoretical Atomic Spectroscopy
  • Written by author Zenonas Bronislovaitis Rudzikas
  • Published by Cambridge University Press, March 1998
  • Graduate-level text and research reference presenting a complete guide to the theory of modern atomic spectroscopy.
Buy Digital  USD$189.00

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Preface
Introduction
Pt. 1Energy Spectrum of Many-electron Atom. Radiative and Autoionizing Transitions (Initial Formulas)1
1Non-relativistic atomic Hamiltonian and relativistic corrections3
2Relativistic atomic Hamiltonian. New wave function10
3Perturbation theory for the energy of an atom16
4Radiative and autoionizing electronic transitions. Generalized expressions for electric multipole (Ek) transition operators25
Pt. 2Foundations of the Angular Momentum Theory. Graphical Methods35
5Angular momentum and tensorial algebra37
6Main quantities of angular momentum theory48
7Angular momentum theory for relativistic case57
8Graphical methods: their generalization for perturbation theory63
Pt. 3Description of Complex Electronic Configurations71
9Non-relativistic and relativistic cases of a shell of equivalent electrons73
10Two and more shells of equivalent electrons85
11Classification of energy levels91
12Relations between various coupling schemes97
Pt. 4Second-quantization in the Theory of an Atom. Quasispin and Isospin107
13Second-quantization and irreducible tensorial sets109
14Operators and matrix elements in second-quantization representation121
15Quasispin for a shell of equivalent electrons138
16Algebraic expressions for coefficients of fractional parentage (CFP)160
17Tensorial properties and quasispin of complex configurations182
18Isospin in the theory of an atom200
Pt. 5Matrix Elements of the Energy Operator217
19The energy of a shell of equivalent electrons219
20Interaction energy of two shells in LS coupling235
21Semi-empirical methods for calculation of the energy spectra248
22Hyperfine structure of the energy spectra, isotopic and Lamb shift261
23Quasispin and isospin for relativistic matrix elements273
Pt. 6Electric and Magnetic Multipole Transitions291
24General expressions for electric (Ek) and magnetic (Mk) multipole radiation quantities293
25Non-relativistic matrix elements of the Ek-transitions305
26Relativistic matrix elements of Ek-transitions315
27Mk-transitions. Particular cases of E2- and M1-transitions323
Pt. 7Calculation of Energy Spectra and Electronic Transitions in the Case of Complex Configurations331
28Methods of determination of radial orbitals333
29Correlation effects. Perturbation theory346
30The role of gauge dependence, relativistic and correlation effects in electronic transitions357
31Peculiarities of the structure and spectra of highly ionized atoms368
32Global methods in the theory of many-electron atoms380
33Peculiarities of configurations with vacancies in inner shells392
Epilogue404
References407
Index422


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