Computational Exercises to Quantum Theory I

• The aim of these exercises is to get insight and experience with the computer algebra system (CAS)

Mathematica (Rev. 8). Examples are choosen with respect to the lectures.

Handouts to the Exercises

• 0. General Introduction to Mathematica  with an Introductory Notebook
• 1. Exercise - Review of Mathematics.
• 2. Exercise - Functions, vector fields, standing waves.
• 3. Exercise - Plane waves superposition,probability distribution functions, Dirac Delta function.
• 4. Exercise - Distribution functions, expextation values, standard deviation.
• 5. Exercise - Potential box with infinite walls
• 6. Exercise- Eigenvalues and -vectors, Hydrogen atom: radial wave functions.

The lower notebook examples taken from theoretical mechanics had
been written by our students of the Applied Natural Science -
Ch. Röder, J. Kutzner, T. Brumme, S. Bahmann, M. Mandel, K. Jiptner, and G. Roll.

Examples from the quantum theory (with notebooks)

• Linear harmonic oscillator (1D)
• The Hydrogen atom wave functions (radial part)
• Particle in a 1D-box with finite walls 
• Tunnel effect
• Angular wave functions (Spherical  harmonics)