Wigner function for a free particle in two dimensions: A tale of interference

W. P. Schleich; Jens Peder Dahl; S. Varro

doi:10.1016/j.optcom.2009.10.055

Wigner function for a free particle in two dimensions: A tale of interference

W. P. Schleich, Jens Peder Dahl, S. Varro

Department of Chemistry

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The familiar wave function for a free particle in two dimensions and in a state with definite values of energy and angular momentum shows some unusual effects. We identify the origin of these subtleties as interference in two-dimensional space where Huygens' principle breaks down. Our arguments are based upon the corresponding Wigner function.

Original language	English
Journal	Optics Communications
Volume	283
Issue number	5
Pages (from-to)	786-789
ISSN	0030-4018
DOIs	https://doi.org/10.1016/j.optcom.2009.10.055
Publication status	Published - 2010

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title = "Wigner function for a free particle in two dimensions: A tale of interference",

abstract = "The familiar wave function for a free particle in two dimensions and in a state with definite values of energy and angular momentum shows some unusual effects. We identify the origin of these subtleties as interference in two-dimensional space where Huygens' principle breaks down. Our arguments are based upon the corresponding Wigner function.",

author = "Schleich, {W. P.} and Dahl, {Jens Peder} and S. Varro",

year = "2010",

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T1 - Wigner function for a free particle in two dimensions: A tale of interference

AU - Schleich, W. P.

AU - Dahl, Jens Peder

AU - Varro, S.

PY - 2010

Y1 - 2010

N2 - The familiar wave function for a free particle in two dimensions and in a state with definite values of energy and angular momentum shows some unusual effects. We identify the origin of these subtleties as interference in two-dimensional space where Huygens' principle breaks down. Our arguments are based upon the corresponding Wigner function.

AB - The familiar wave function for a free particle in two dimensions and in a state with definite values of energy and angular momentum shows some unusual effects. We identify the origin of these subtleties as interference in two-dimensional space where Huygens' principle breaks down. Our arguments are based upon the corresponding Wigner function.

U2 - 10.1016/j.optcom.2009.10.055

DO - 10.1016/j.optcom.2009.10.055

M3 - Journal article

VL - 283

SP - 786

EP - 789

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

IS - 5

ER -