x
Elements of Modern Physics
3.4 Some Properties of Observables and Wave Functions
72
3.5 Free Particle
74
3.6 Wave Packet and the Uncertainty Principle
76
3.7 Step Potential
78
3.8 Particle in a Box
83
3.9 Simple Harmonic Oscillator
87
3.10 Small Perturbations
89
3.11 Angular Momentum
90
3.12 Examples
94
Problems
98
4. The One-Electron Atom
101–130
4.1 Solutions of the Schrödinger Equation
102
4.2 Electron Spin
107
4.3 Total Angular Momentum
109
4.4 Fine Structure of One-Electron Atomic Spectra
110
4.5 Hyperfine Structure
115
4.6 Examples of One-Electron Atoms
118
4.7 Schrödinger Equation for Spin 1/2 Particles
120
4.8 Dirac Equation
122
4.9 Examples
125
Problems
129
5. Atoms and Molecules
131–172
5.1 Exchange Symmetry of Wave Functions
132
5.2 Shells and Subshells in Atoms
135
5.3 Periodic Table
137
5.4 Atomic Spectra
142
5.5 X-ray Spectra
151
5.6 Molecular Bonding
159
5.7 Molecular Spectra
162
5.8 Examples
166
Problems
171
6. Interaction with External Fields
173–208
6.1 The Hamiltonian
174
6.2 Atoms in a Magnetic Field
175
6.3 Interaction with Radiation
181
6.4 Spontaneous Transitions
184