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arXiv · 1011.3637

The quantum Gaussian well

Saikat Nandi
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Abstract

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.

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Saikat Nandi. 2010-11-16. The quantum Gaussian well. https://doi.org/10.1119/1.3474665

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