@ Qualifying Exam - Main Topics
1. CM
- Lagrangian -> Equation of Motion
- Small Oscillation
- Compton Effect with 4-momentum
- Wave equation in a sting
- Lagrangian in cylindrical coordinate
- Torque Equilibrium
2. EM
- Reflection & Refraction of EM wave
- EM wave equation by Maxwell Equation
- Electric potential of dielectric sphere
- Electric field by Gauss law
- Image charge method
- Relativistic point charge movement - Lienard-Wiechart potential
- Polarization in dielectric material
- London equation
3. SM
- Boltzman Distribution
- Random Walk
- Phase Transition by Landau Theory
- Statistical electric polarization
- Statistics of Fermi gas and Boson gas
- Bose-Einstein Condensation
- Specific heat of superconductor
4. QM
- Addition of Spin
- Harmonic Oscillator in 1D, 2D
- Schrodinger Equation in 1D barrier, well
- Hydrogen atom - energy, angular momentum
- Scattering in QM
- Time transition of 1/2 spin system
- Variational Method - Perturbation
- Zeeman Effect
- Stark Effect
- Tunneling Effect
- Delta function potential
- Superposed state in 1D
- Single electron in uniform B-field
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- Stern Gerlach experiment - spin transition
- Two body system in 1D potential well
- Time development of wave packet