Wave-particle duality; Schrödinger equation and expectation values;
Uncertainty principle; Solutions of the one-dimensional Schrödinger equation for a free particle (Gaussian wave-packet), particle in a box, particle in a finite well, linear harmonic oscillator;
Reflection and transmission by a step potential and by a rectangular barrier;
Particle in a three-dimensional box, density of states, free electron theory of metals;
Angular momentum; Hydrogen atom; Spin half particles, properties of Pauli spin matrices.