The quantum Gaussian well

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 Schrödinger equation through diagonalization has been developed in a self-contained way, and physical applications of the potential are mentioned.

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

Cited by in corpus (6)

• Quantum tetrachotomous states: Superposition of four coherent states on a line in phase space
• The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
• Recapture Probability for anti-trapped Rydberg states in optical tweezers
• Pattern dark matter and galaxy scaling relations
• Single impurity atom embedded in a dipolar two-soliton molecule as a qubit
• Rapid generation of Mott insulators from arrays of noncondensed atoms