Time-Dependent Superposition of 2D Particle-in-a-Box Eigenstates
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This Demonstration looks at a time-dependent superposition of quantum particle-in-a-box eigenstates in two dimensions (a square box in this example), , where the eigenfunctions and eigenvalues are given by
and
, respectively. The index of summation
ranges over combinations of
and
that correspond to the lowest six energy levels. The top graphic shows the 2D probability density
, and the lower graphics show the position expectation values
and
.
Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA