### 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 Θ_{N} ≤ π/N. As an example, we evaluate probability densities and expectation values for a zero-momentum wave packet solution initially localized in a Θ_{3} ≤ 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 language | English (US) |
---|---|

Pages (from-to) | 281-289 |

Number of pages | 9 |

Journal | European Journal of Physics |

Volume | 27 |

Issue number | 2 |

DOIs | |

State | Published - Mar 1 2006 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

}

*European Journal of Physics*, vol. 27, no. 2, pp. 281-289. https://doi.org/10.1088/0143-0807/27/2/011

**Image method solutions for free-particle wave packets in wedge geometries.** / Robinett, Richard Wallace.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Image method solutions for free-particle wave packets in wedge geometries

AU - Robinett, Richard Wallace

PY - 2006/3/1

Y1 - 2006/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33244462601&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33244462601&partnerID=8YFLogxK

U2 - 10.1088/0143-0807/27/2/011

DO - 10.1088/0143-0807/27/2/011

M3 - Article

AN - SCOPUS:33244462601

VL - 27

SP - 281

EP - 289

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 2

ER -