Image method solutions for free-particle wave packets

Details Image method solutions for free-particle wave packets Image method solutions for free-particle wave packets

2005-12-14

arxiv.org/abs/quant-ph/0512108v1

Physics

Quantum Physics

14 pages, 4 figures, to appear in Eur. J. Phys

Scientific paper

10.1088/0143-0807/27/2/011

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

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