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

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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 languageEnglish (US)
Pages (from-to)25-122
Number of pages98
JournalPhysics Reports
Volume540
Issue number2
DOIs
StatePublished - Jul 10 2014

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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