Wigner functions of s waves
Abstract
We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradiusthat 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 Ddimensional 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:
 Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK2800 Lyngby (Denmark)
 (Germany)
 Research Institute for Solid State Physics and Optics, H1525 Budapest, P.O. Box 49, (Hungary)
 Institut fuer Quantenphysik, Universitaet Ulm, D89069 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, D89069 Ulm, Varro, S., Institut fuer Quantenphysik, Universitaet Ulm, D89069 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, D89069 Ulm, Varro, S., Institut fuer Quantenphysik, Universitaet Ulm, D89069 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, D89069 Ulm, Varro, S., Institut fuer Quantenphysik, Universitaet Ulm, D89069 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, D89069 Ulm and Varro, S. and Institut fuer Quantenphysik, Universitaet Ulm, D89069 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 hyperradiusthat 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 Ddimensional 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}
}
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