– The principle of wave–particle duality as the fundamental law of Quantum Mechanics. Schrödinger equation.
– The statistical interpretation of the Schrödinger equation.
– Linear operators.
– Compatible physical observables, properties of the commutator.
– Uncertainty principle.
– Simple quantum systems: Rectangular wells, barriers, tunneling phenomenon, harmonic oscillator.
– Three-dimensional problems: Quantization of a particle in a box, Three-dimensional harmonic oscillator.
– Central potentials, hydrogen atom.
– Theory of angular momentum and spin.
– Identical particles, bosons and fermions.
– Time-independent non-degenerate perturbation theory.