Image method solutions for free-particle wave packets in wedge geometries

Research output: Contribution to journalArticle

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Abstract

Using analogues of familiar image methods in electrostatics and optics, we show how to construct closed-form wave packet solutions of the two-dimensional free-particle Schrödinger equation in geometries restricted by two infinite wall barriers separated by an angle ΘN ≤ π/N. As an example, we evaluate probability densities and expectation values for a zero-momentum wave packet solution initially localized in a Θ3 ≤ π/3 ≤ 60° wedge. We review the time development of zero-momentum wave packets placed near a single infinite wall barrier in the appendix.

Original languageEnglish (US)
Pages (from-to)281-289
Number of pages9
JournalEuropean Journal of Physics
Volume27
Issue number2
DOIs
StatePublished - Mar 1 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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