• Wave-particle duality. The famous electron double-slit experiment by Tonomura is used to  illustrate the schizofrenic nature of elementary particles which tend to exhibit both particle-like and wave-like attributes.
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• Particle in a box. Demonstrates stationary states, some basic properties of the wavefunctions, and the time evolution of various linear superpositions. 
  
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• Wavepackets.  Stationary and moving wavepackets, in free space and in the presence of various obstacles (hard wall, potential step, potential barrier).
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• Hydrogen atom.  Recap of the key results and some wavefunction visualization.
  
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The animation above illustrates the time development of the probability density of a particle
inserted at time t=0 at the center of the box.