Following this paper by C. Aslangul, consider
the quantum infinite potential well in
For
If
These are some plots of
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Now, consider the cases
In the following examples, the center and the boundary of the plateaux are marked with vertical lines.
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The intervals in which the plateaux appear are
These are more examples exhibiting plateaux:
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This time, the intervals are
Under the previous conditions, if
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Using the formulas, the forbidden zones are
The proofs of the results mentioned here and a more detailed study of the expanded infinite well are the contents of a forthcoming joint paper.
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