Visualizing the solutions for the circular infinite well in quantum and classical mechanics

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The classical and quantum mechanical problem of a particle in the infinite circular well has recently surfaced in two quite different manifestations: (i) the observation of "electron standing waves" in circular "corrals" of atoms adsorbed on surfaces and (ii) as a benchmark example of an integrable system for comparison to the classical and quantum chaotic behavior of the "stadium billiards" problem. Motivated by this, we review the quantum and classical probability distributions for both position and momentum for this familiar problem, focusing on the visualization of the quantum wave functions and classical trajectories as well as the semiclassical connections between the two.

Original languageEnglish (US)
Pages (from-to)440-446
Number of pages7
JournalAmerican Journal of Physics
Volume64
Issue number4
DOIs
StatePublished - Jan 1 1996

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classical mechanics
standing waves
adatoms
quantum mechanics
trajectories
wave functions
momentum
electrons

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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Visualizing the solutions for the circular infinite well in quantum and classical mechanics. / Robinett, Richard Wallace.

In: American Journal of Physics, Vol. 64, No. 4, 01.01.1996, p. 440-446.

Research output: Contribution to journalArticle

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