skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Wigner functions of s waves

Abstract

We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius--that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle.

Authors:
 [1];  [2];  [3];  [2]; ;  [4]
  1. Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK-2800 Lyngby (Denmark)
  2. (Germany)
  3. Research Institute for Solid State Physics and Optics, H-1525 Budapest, P.O. Box 49, (Hungary)
  4. Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm (Germany)
Publication Date:
OSTI Identifier:
20982459
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.052107; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENFUNCTIONS; EIGENVALUES; PARTICLES; QUANTUM ENTANGLEMENT; S WAVES; WAVE FUNCTIONS; WIGNER DISTRIBUTION

Citation Formats

Dahl, J. P., Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm, Varro, S., Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm, Wolf, A., and Schleich, W. P. Wigner functions of s waves. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.052107.
Dahl, J. P., Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm, Varro, S., Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm, Wolf, A., & Schleich, W. P. Wigner functions of s waves. United States. doi:10.1103/PHYSREVA.75.052107.
Dahl, J. P., Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm, Varro, S., Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm, Wolf, A., and Schleich, W. P. Tue . "Wigner functions of s waves". United States. doi:10.1103/PHYSREVA.75.052107.
@article{osti_20982459,
title = {Wigner functions of s waves},
author = {Dahl, J. P. and Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm and Varro, S. and Institut fuer Quantenphysik, Universitaet Ulm, D-89069 Ulm and Wolf, A. and Schleich, W. P.},
abstractNote = {We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius--that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle.},
doi = {10.1103/PHYSREVA.75.052107},
journal = {Physical Review. A},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}