Schrodinger's Equation

- example #4 - 

4. A potential barrier

 
    Experiment: 
    A gaussian wave package is moving against a potential barrier with the same potential energy as the wave itself. According to the classical theory, the wave would move over the barrier without distortion. Quantum mechanically, a small part is reflected when the wave enters and leaves the barrier.  

    Further experiments:

  • If the barrier's potential energy is much bigger than the energy of the wave (for example Höhe=5), the package is totally reflected similar to classical theory.
  • If the bredth of the potential very small (for example Breite=2), the particle can "tunnel" the potential barriere with a certain possibility. In the barrier itself, the location possibility is decreasing exponentially.
 
Prof. Michael Feindt
Michael Klein
 
examaple #3 
Introduction
example #5