Elementary atomic structure

Preface to first edition ......Page 6
Preface to second edition ......Page 8
1.1   Empirical aspects ......Page 12
1.2  Orders of magnitude ......Page 14
Problems ......Page 18
2.1   The Schrodinger equation ......Page 20
2.2  Stationary states ......Page 24
2.3  Expectation values ......Page 25
2.4  Solution of Schrodinger\'s equation for a Coulomb field ......Page 26
2.5  The quantum numbers l and m ......Page 34
2.6  The hydrogen energy spectrum ......Page 37
Problems ......Page 40
3.1   Einstein\'s A and B coefficients ......Page 43
3.2  Transitions probabilities ......Page 47
3.3  The electric dipole approximation ......Page 53
3.4  Selection rules for l and m ......Page 57
3.5  Higher order radiation ......Page 59
Problems ......Page 62
4.1   Electron spin ......Page 68
4.2  The interaction terms ......Page 70
4.3  The vector model ......Page 76
4.4  The Lamb shift ......Page 80
4.5  Summary of the hydrogen spectrum ......Page 82
Problems ......Page 83
5.  Two-electron system ......Page 85
5.1   Electrostatic interaction and exchange degeneracy ......Page 86
5.2  The ground state of helium ......Page 92
5.3  The excited states of helium ......Page 94
5.4  Electron spin functions and the Pauli exclusion principle ......Page 97
5.5  The periodic system ......Page 100
Problems ......Page 104
6.1   The central field ......Page 108
6.2  Thomas-Fermi potential ......Page 112
6.3  The gross structure of the alkalis ......Page 116
Problems ......Page 119
7.  Angular problems in many-electron atoms ......Page 121
7.1   The LS coupling approximation ......Page 122
7.2  Allowed terms in LS coupling ......Page 127
7.3  Fine structure in LS coupling ......Page 135
7.4  Relative intensities in LS coupling ......Page 145
7.5  Thej-j coupling approximation and other types of coupling ......Page 151
Problems ......Page 155
8.1   Zeeman effect in LS coupling ......Page 157
8.2  Quadratic Stark effect ......Page 166
8.3  Linear Stark effect ......Page 169
8.4  Relative intensities in the Zeeman effect ......Page 171
Problems ......Page 177
9.  Hyperfine structure and isotope shift ......Page 179
9.1   Magnetic dipole interaction ......Page 180
9.2  Determination of nuclear spin from magnetic hyperfine structure ......Page 185
9.3  Determination of mu_I  from magnetic hyperfine structure ......Page 188
9.4  Magnetic hyperfine structure in two-electron spectra ......Page 190
9.5  Electric quadrupole interaction ......Page 191
9.6  Zeeman effect of hyperfine structure ......Page 197
9.7  Isotope shift ......Page 205
Problems ......Page 210
Appendix A. Some theorems of quantum mechanics ......Page 213
Appendix B.  Results of time-independent perturbation theory ......Page 217
Appendix C. Notes on angular momentum ......Page 220
Appendix D. Ground states of the elements ......Page 226
Appendix E.  Units ......Page 230
Index ......Page 236