Presentation at the Bad Honnef Physics School on Methods of Path Integration in Modern Physics, Bad Honnef, August 25, 2019

• PDF version of the presentation
• Exercises
  Warning: Looking at the solutions too early might spoil your chances to draw pleasure from solving the problems yourself. You will find the problem description without solutions also in the PDF version of the presentation.
  • exercise 1 (semigroup property of the propagator of a free particle)
  • exercise 2 (propagator of a free particle from the discretized path integral)
  • exercise 3 (Fourier representation of a Dirac δ comb)
  • exercise 4 (propagator of a particle on a ring)
  • exercise 5 (propagator of a particle in an infinitely deep potential well)
  • exercise 6 (propagator of the harmonic oscillator from eigenstates and eigenfunctions)
  • exercise 7 (phase check for the propagator of the harmonic oscillator by means of the semigroup property)