Preface | p. ix |
Atomic Structure | p. 1 |
Beginnings | p. 1 |
The Hydrogen Atom | p. 3 |
Eigenstates in the spherical representation | p. 3 |
High symmetry of the hydrogen atom, separation in parabolic coordinates | p. 6 |
The Two-electron Atom | p. 8 |
The ground state of helium | p. 9 |
Excited states | p. 12 |
Configuration interaction | p. 16 |
Heavier Atoms | p. 17 |
Configurations and states | p. 17 |
Simple screening pictures | p. 20 |
The Thomas-Fermi self-consistent field model | p. 22 |
Exact treatments: Hartree-Fock and configuration interaction | p. 28 |
Line Spectra and Their Uses | p. 30 |
Atomic spectra in astronomy | p. 30 |
Doppler shifts of spectral lines | p. 34 |
Problems | p. 37 |
Coupling of Atoms to Radiation | p. 41 |
Introduction | p. 41 |
Photoabsorption and Photoemission | p. 42 |
The Oscillator strength | p. 43 |
Alternative forms of the dipole matrix element | p. 46 |
Selection rules | p. 49 |
Moments and sum rules | p. 53 |
Charged-particle Collisions | p. 55 |
The Generalized Oscillator strength | p. 55 |
Total cross-section | p. 59 |
The Negative Ion of Hydrogen | p. 60 |
The ground state of H[superscript -] | p. 61 |
Photodetachment of H[superscript -] | p. 63 |
Radiative capture | p. 64 |
Problems | p. 66 |
Atoms in Weak, Static Fields | p. 69 |
Introduction | p. 69 |
External Electric and Magnetic Fields | p. 70 |
Coupling to external fields | p. 70 |
Time-independent perturbation theory | p. 71 |
The Stark effect | p. 76 |
The Zeeman effect | p. 78 |
Internal Perturbations in an Atom | p. 82 |
Relativistic mass correction | p. 82 |
Spin-orbit coupling | p. 83 |
Other corrections | p. 84 |
Problems | p. 85 |
Atoms in Strong Magnetic Fields | p. 87 |
Introduction | p. 87 |
Free electrons in a magnetic field | p. 88 |
Excited States in a Magnetic Field | p. 91 |
Basic Hamiltonian and spectrum | p. 91 |
Degenerate perturbation theory in an n-manifold | p. 97 |
Large-scale numerical calculations | p. 106 |
Quasi-classical JWKB analysis | p. 110 |
Rydberg diamagnetism in other atoms | p. 114 |
Strong Field Effects on Low-lying States | p. 114 |
Introduction | p. 114 |
Hydrogen in an ultrastrong magnetic field | p. 115 |
Complex atoms in ultrastrong fields | p. 122 |
Complex atoms in very strong, but not ultrastrong, fields | p. 126 |
Strong Magnetic Fields in Astronomy | p. 131 |
Problems | p. 133 |
Electron Correlations | p. 135 |
Introduction | p. 135 |
Electron Correlations | p. 136 |
Qualitative picture | p. 136 |
The spectrum of He and H[superscript -] | p. 137 |
Experimental observation | p. 141 |
Hyperspherical Coordinates | p. 142 |
Coulomb potential and hyperspherical harmonics in six dimensions | p. 149 |
Adiabatic hyperspherical method | p. 151 |
Description of resonances | p. 156 |
High-lying doubly-excited states and double ionization | p. 161 |
Dielectronic Recombination | p. 164 |
Problems | p. 167 |
Diatomic Molecules | p. 169 |
Introduction | p. 169 |
Structure of Diatomic Molecules | p. 170 |
Basic mechanism and nomenclature of covalent bonds | p. 170 |
Molecular orbitals and states of simple diatomic molecules | p. 173 |
The Born-Oppenheimer approximation | p. 176 |
Rotations and vibrations of the internuclear axis | p. 179 |
Anharmonicities and rotation-vibration coupling | p. 182 |
Parity of molecular states | p. 184 |
Effect of nuclear spin | p. 185 |
Molecular Spectra | p. 187 |
Rotational spectra | p. 187 |
Vibrational spectra | p. 189 |
Raman spectra | p. 192 |
Electronic spectra | p. 193 |
External field effects on molecular spectra | p. 199 |
Collisional processes | p. 199 |
Astrophysical Applications | p. 200 |
Problems | p. 205 |
Polyatomic Molecules | p. 207 |
Introduction | p. 207 |
Structure and Spectra of Polyatomic Molecules | p. 207 |
Born-Oppenheimer approximation and electronic structure | p. 207 |
Rotation of polyatomic molecules and spectra | p. 211 |
Vibrations of polyatomic molecules | p. 215 |
Degeneracies and rovibronic couplings | p. 221 |
Astrophysical Applications | p. 224 |
Problems | p. 227 |
References | p. 229 |
Index | p. 233 |
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