| Week |
Subject |
Recomended Reading |
| 1-2 |
General motivation, The photoelectric effect, Waves, Photons - energy and momentum. Double-slit experiment – a qualitative description. De Broglie Principle. The Drude model classically explaining conduction, The failure of the classical model. Fourier Transform | - |
| 3-4 |
Probability function, Schrödinger equation, Normalization, a wave packet describing a free particle (discrete or continuous Fourier transform representation), Uncertainty principle for a wave packet, Time independent Schrödinger equation
|
- |
| 5-6 |
An infinite potential well - in one, two and three dimensions, a square well, Definition of degeneracy, Density of states, Tunneling
|
|
| 7-8 |
The basic concepts of quantum mechanics: a definition of a state, physical variables as operators, the principal of spectral decomposition, an expectation value, standard deviation, commutation relations, probability current
|
|
| 9 |
One-dimensional harmonic oscillator, a raising or lowering operator (" ladder" operators)
|
- |
| 10 |
A lattice, the reciprocal lattice, Brillouin zone
|
- |
| 11-12 |
A Particle in a periodic potential, Bloch's theorem, the Kronig-Penny model, energy bands, energy gap, conduction as explined by quantum theory, effective mass
|
- |