Visualizing wave functions with solving the time dependent Schroedinger equation.

Dept. of Electrical Engineering & Computer Science
Faculty of Engineering, Yamanashi Univ.

Comming soon. VHS and CD-ROM versions. NATORI Hiroshi

The Journal of the Physical Society of Japan Vol.66 No.2 ( Feb.1997 )
Post script file, DVI file LaTex file,
Japanese version is here.

Mail to natori@hep.esb.yamanashi.ac.jp
Last update May 31st 1997 : I replace movies in which section of cyclotron motion.


Visualizing complex functions
  1. Interferences by periodic slites.
    Update March 19th 1997. But now Japanese only.

  2. Two dimensional scattering
    Scattering processes of wave functions by cylindrical potentials.
  3. One dimensional scattering
    The resonance tunnelling of double barrier potentials.
  4. Cyclotron motion Gauge invariance of U(1)
    We represent two examples of different vector potentials. These examples provide same probability densities. New. May 31 1997
  5. Spin 1/2 Stern-Gerlach experiment.
    In this section we show time evolution of wave functions with spin 1/2. The case in gradiential magnetic field we can see wave functions split two passes.
  6. Aharanov-Bohm effect
    We simulate Aharanov-Bohm effect by wave packets.
    A non quantum mechanics topic.
  7. A heating of solar plasma.

Reference
  1. Richardson, John L.,Visualizing quantum scattering on the CM-2 supercomputer, Computer Physics Communications 63 (1991) pp 84-94
  2. John's Homepage.Visualizing Complex Functions ,
  3. Quantum Scattering Experiments(JAVA)
  4. H. De Raedt and K. Michielsen, ``Algorithm to Solve the Time-Dependent Schroedinger Equation for a Charged Particle in an Inhomogeneous Magnetic Field: Application to the Aharonov-Bohm Effect'', Comp. in Phys. 8, 600 -- 607 (1994). Multimedia Books on Quantum Mechanics
Link
  • University of Groningen Institute for Theoretical Physics Computational Physics Group

  • Yamanashi Univ. home page