The quantum Gaussian well

Details The quantum Gaussian well The quantum Gaussian well

2010-11-16

arxiv.org/abs/1011.3637v1

American Journal of Physics, Volume 78, Issue 12, pp. 1341-1345 (2010)

Physics

Quantum Physics

11 pages, 4 figures, To be published in American Journal of Physics

Scientific paper

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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