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The quantum Gaussian well
Different features of a potential in the form of a Gaussian well have been
discussed extensively. Although the details of the calculation are involved,
the general approach uses a variational method and WKB approximation,
techniques which should be familiar to advanced undergraduates. A numerical
solution of the Schr\"odinger equation through diagonalization has been
developed in a self-contained way, and physical applications of the potential
are mentioned.Comment: 11 pages, 4 figures, To be published in American Journal of Physic
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