Introduction to the Theory of Atomic Spectra (eBook)

Front Cover 1
Introduction to the Theory of Atomic Spectra 4
Copyright Page 5
Table of Contents 8
Preface 14
Note 17
PART I: Elementary Information on Atomic Spectra 
18 
Chapter 1.The Hydrogen Spectrum 20
§ 1. Schrddinger's equation for the hydrogen atom 20
2. Series regularities 26
3. Fine structure 30
Chapter 2. Systematics of the Spectra of Multi-Electron Atoms 38
§ 4. Central field 38
§ 5. General picture of electrostatic and spin-orbit splitting of levels in the LS-coupling approximation 42
§ 6. jj-Coupling approximation 48
Chapter 3. Spectra of Multi-Electron Atoms 53
§ 7. Periodic system of elements 53
§ 8. Spectra of the alkali elements 
55 
§ 9. Spectra of the alkaline earth elements 62
§ 10. Spectra of elements with p-valence electrons 65
§ 11. Spectra of elements with unfilled d- and f-shells 71
PART II: Theory of Atomic Spectra 76
Chapter 4. Angular Momenta 78
§ 12. Angular momentum operator. Addition of angular momenta 78
§ 13. Angular momentum vector addition coefficients 88
§ 14. Irreducible tensor operators 100
Chapter 5. Systematics of the Levels of Multi-Electron Atoms 112
§ 15. Wave functions 
112 
§ 16. Matrix elements of symmetric operators 
129 
§ 17. Electrostatic interaction in LS-coupling. Two-electron configurations 136
18. Electrostatic interaction in LS-coupling. Multi-electron configurations 150
19. Multiplet splitting in LS-coupling 180
§ 20. jj-coupling and other types of coupling 
192 
§ 21. Hartree-Fock self-consistent field method 210
Chapter 6. Hyperfine Structure of Spectral Lines 221
§ 22. Nuclear magnetic dipole and electric quadrupole moments 
221 
§ 23. Hyperfine splitting 226
§ 24. Isotope effect 
239 
Chapter 7. Relativistic Corrections 248
§ 25. Dirac equation 
248 
§ 26. Central field 254
§ 27. Relativistic corrections 
267 
PART III: Excitation and Radiation of Atoms. Elementary Processes 278
Chapter 8. The Atom in an External Field 280
§ 28. Electric field. Stark effect 
280 
§ 29. Magnetic field. Zeeman effect 
294 
Chapter 9. Interaction of Atoms with an electromagnetic field 303
§ 30. Radiation of electromagnetic waves 
303 
§ 31. Electric dipole radiation 
322 
§ 32. Multipole radiation 339
§ 33. Calculation of oscillator strengths 352
§ 34. Continuous spectrum 370
Chapter 10. Broadening of spectral lines 394
§ 35. Radiative and Doppler broadening 394
§ 36. General theory of the effects of pressure in a binary approximation 400
§ 37. Quantum mechanical generalization of the 
419 
§ 38. Broadening of lines of the hydrogen spectrum in a plasma 434
§ 39. Line broadening of nonhydrogen-like spectra in a plasma 464
§ 40. Broadening by uncharged particles 
477 
Chapter 11. Excitation of Atoms 483
§ 41. Fundamentals of scattering theory 
483 
§ 42. Born approximation 
494 
§ 43. General equations of the theory of electron collisions with atoms 
509 
§ 44. Some refinements and a discussion of the range of applicability of the Born method 530
§ 45. Refinement of the Born method on the basis of the free electron scattering model 
543 
§ 46. Excitation by heavy particles 549
§ 47. Spectroscopic problems associated with the theory of elastic scattering of electrons 562
§ 48. Tables of effective cross-sections for exictation of atoms 574
Abbreviated Notations of cited Literature 620
Subject Index 622