The Hamiltonian approach to classical mechanics. Analysis of a simple oscillator.
Analysis of vibrations in a one-dimensional lattice.
Phononic bandgap
Introduction to quantum mechanics
Wave function, Schrödinger’s equation, observables and measurements.
Quantum mechanical harmonic oscillator and spectral decomposition.
Symmetries, conserved quantities, and the labeling of states.
Angular momentum
The hydrogen atom
Waves in periodic potentials
Reciprocal lattice and reciprocal lattice vectors
Band gap
Band diagrams
The free electron gas and the density of states
Fermi-Dirac distribution
Density of charge carriers in semiconductors
Conductivity in semiconductors. Engineering conductivity through doping.
The P-N junction (diode)
Light emitting diodes
Electromagnetic waves interacting with materials
Reflection and refraction
Photonic band gaps
Origins of magnetization
Hysteresis in ferromagnetic materials
Magnetic domains