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
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Interferences by periodic slites.
Update March 19th 1997. But now Japanese only.
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Two dimensional scattering
Scattering processes of wave functions by cylindrical potentials.
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One dimensional scattering
The resonance tunnelling of double barrier potentials.
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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
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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.
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Aharanov-Bohm effect
We simulate Aharanov-Bohm effect by wave packets.
A non quantum mechanics topic.
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A heating of solar plasma.
Reference
- Richardson, John L.,Visualizing quantum scattering
on the CM-2 supercomputer, Computer Physics
Communications 63 (1991) pp 84-94
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John's Homepage.Visualizing Complex Functions ,
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Quantum Scattering Experiments(JAVA)
- 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