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One may observe solutions of the time-depended Schrödinger-equation of a particle in a potential well. Through superimposing the first 10 eigen-functions, one can observe dynamics of the quantum particle.

Many properties of this system can be calculated analytically (see exercise 8 in "Theoretische Physik II SS08") and it can be regarded as a simplified quantum-dot system.

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*Note: Open the demonstrations with the free Mathematica CDF Player (Win,Mac,Linux) or Wolfram Mathematica (version 6 or higher).
The source code (*.nb file) is also available and can be opened with Wolfram Mathematica.*