| 1 |
Overview, Scale of Quantum Mechanics, Boundary between Classical and Quantum Phenomena |
| 2 |
Planck's Constant, Interference, Fermat's Principle of Least Time, deBroglie Wavelength |
| 3 |
Double Slit Experiment with Electrons and Photons, Wave Particle Duality, Heisenberg Uncertainty |
| 4 |
Wavefunctions and Wavepackets, Probability and Probability Amplitude, Probability Density |
| 5 |
Thomson Atom, Rutherford Scattering |
| 6 |
Photoelectric Effect, X-rays, Compton Scattering, Franck Hertz Experiment |
| 7 |
Bohr Model, Hydrogen Spectral Lines |
| 8 |
Bohr Correspondence Principle, Shortcomings of Bohr Model, Wilson-Sommerfeld Quantization Rules |
| 9 |
Schrödinger Equation in One Dimension, Infinite 1D Well |
|
In-class Exam 1 |
| 10 |
Eigenfunctions as Basis, Interpretation of Expansion Coefficients, Measurement |
| 11 |
Operators and Expectation Values, Time Evolution of Eigenstates, Classical Limit, Ehrenfest's Theorem |
| 12 |
Eigenfunctions of p and x, Dirac Delta Function, Fourier Transform |
| 13 |
Wavefunctions and Operators in Position and Momentum Space, Commutators and Uncertainty |
| 14 |
Motion of Wavepackets, Group Velocity and Stationary Phase, 1D Scattering off Potential Step |
| 15 |
Boundary Conditions, 1D Problems: Finite Square Well, Delta Function potential |
| 16 |
More 1D Problems, Tunneling |
| 17 |
Harmonic Oscillator: Series Method |
|
In-class Exam 2 |
| 18 |
Harmonic Oscillator: Operator Method, Dirac Notation |
| 19 |
Schrödinger Equation in 3D: Cartesian, Spherical Coordinates |
| 20 |
Angular Momentum, Simultaneous Eigenfunctions |
| 21 |
Spherical Harmonics |
| 22 |
Hydrogen Atom: Radial Equation |
| 23 |
Hydrogen Atom: 3D Eigenfunctions and Spectrum |
| 24 |
Entanglement, Einstein-Podolsky Rosen Paradox |
|
Final Exam |