dorsal/arxiv
View SchemaImage method solutions for free-particle wave packets
| Authors | R. W. Robinett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512108 |
| URL | https://arxiv.org/abs/quant-ph/0512108 |
| DOI | 10.1088/0143-0807/27/2/011 |
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.
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"abstract": "Using analogs of familiar image methods in electrostatics and optics, we show\nhow to construct closed form wave packet solutions of the two-dimensional\nfree-particle Schrodinger equation in geometries restricted by two infinite\nwall barriers separated by an angle Theta = pi/N. As an example, we evaluate\nprobability densities and expectation values for a zero-momentum wave packet\nsolution initially localized in a pi/3 = 60 degree wedge. We review the\ntime-development of zero-momentum wave packets placed near a single infinite\nwall barrier in an Appendix.",
"arxiv_id": "quant-ph/0512108",
"authors": [
"R. W. Robinett"
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"quant-ph"
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"doi": "10.1088/0143-0807/27/2/011",
"title": "Image method solutions for free-particle wave packets",
"url": "https://arxiv.org/abs/quant-ph/0512108"
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