The infinite well and Dirac delta function potentials as pedagogical, mathematical and physical models in quantum mechanics

M. Belloni; R. W. Robinett

doi:10.1016/j.physrep.2014.02.005

The infinite well and Dirac delta function potentials as pedagogical, mathematical and physical models in quantum mechanics

M. Belloni, R. W. Robinett

Physics

Research output: Contribution to journal › Review article › peer-review

88 Scopus citations

Abstract

The infinite square well and the attractive Dirac delta function potentials are arguably two of the most widely used models of one-dimensional bound-state systems in quantum mechanics. These models frequently appear in the research literature and are staples in the teaching of quantum theory on all levels. We review the history, mathematical properties, and visualization of these models, their many variations, and their applications to physical systems.

Original language	English (US)
Pages (from-to)	25-122
Number of pages	98
Journal	Physics Reports
Volume	540
Issue number	2
DOIs	https://doi.org/10.1016/j.physrep.2014.02.005
State	Published - Jul 10 2014

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/j.physrep.2014.02.005

Cite this

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AB - The infinite square well and the attractive Dirac delta function potentials are arguably two of the most widely used models of one-dimensional bound-state systems in quantum mechanics. These models frequently appear in the research literature and are staples in the teaching of quantum theory on all levels. We review the history, mathematical properties, and visualization of these models, their many variations, and their applications to physical systems.

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The infinite well and Dirac delta function potentials as pedagogical, mathematical and physical models in quantum mechanics

Abstract

All Science Journal Classification (ASJC) codes

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