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.
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy