Outline 

• Overview of experiments (double slit experiment, black body radiation, photoelectric effect, Stern-Gerlach)
• Wave equations & dispersion relations
• Schrödinger equation and paradigmatic example systems (wave packets, tunnelling effect, harmonic oscillator) 
• Position and momentum representation, Heisenberg uncertainty relation
• Hydrogen atom and angular momentum 
• Spin systems 
• Postulates of quantum mechanics (pure states)
• Composite quantum systems
• Outlook to quantum many-body systems (molecules and solids)