|
| related topics |
| {time, wave, function} |
| {equation, function, exp} |
| {wave, scattering, interference} |
| {field, particle, equation} |
| {energy, gaussian, time} |
| {classical, space, random} |
| {particle, mechanics, theory} |
| {cavity, atom, atoms} |
| {cos, sin, state} |
| {force, casimir, field} |
|
Image method solutions for free-particle wave packets
R. W. Robinett
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0512108
- categories:
- quant-ph
- comments:
- 14 pages, 4 figures, to appear in Eur. J. Phys
- doi:
- 10.1088/0143-0807/27/2/011
- arxiv_id:
- quant-ph/0512108
- created:
- 2005-12-14
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