Time Evolution of a Quantum Free Particle in 2D

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This Demonstration shows the time evolution and dispersion relation for a 2D quantum free particle represented by , where
and
are the eigenfunctions and energy levels, respectively, for
. The left graphic shows the complex wavefunction
, where the shape is its modulus and the coloring is according to its argument, the range
to
corresponding to colors from red to magenta. The right panel shows a surface plot of the 2D quadratic dispersion relation,
.
Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA
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"Time Evolution of a Quantum Free Particle in 2D"
http://demonstrations.wolfram.com/TimeEvolutionOfAQuantumFreeParticleIn2D/
Wolfram Demonstrations Project
Published: March 7 2011