Visual Quantum Mechanics

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Potential hole of modified Pöschl-Teller type

by Erek Bilgici

Source: S. Flügge, Practical Quantum Mechanics, Springer-Verlag New York, Heidelberg, Berlin 1974, Problem 39.

The (modified) Pöschl-Teller potential is

This movie shows how the bound-state wave functions depend on the depth of the potential hole, that is, on the parameters lambda (alpha=1).

The energies are

The eigenfunctions are given in the Mathematica notebook.

Mathematica Notebook

created: 2004-06-23