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The wave functions have the symmetry property
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that is they are symmetric or antisymmetric with respect to the symmetry point of the
infinite well
potential , in alternating order with the quantum number . The lowest eigenstate
is symmetric and has no node, the next eigenstate is anti-symmetric and
has one node, is again symmetric and has two zeros, and so on.
We recognize that conceptually, everything is really completely analogous (the counting
from 0 or is a matter of convention).
Tobias Brandes
2004-02-04