The origin of negative values of the Wigner distribution function

Authors
Citation
D. Dragoman, The origin of negative values of the Wigner distribution function, OPTIK, 111(4), 2000, pp. 179-183
Citations number
30
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
OPTIK
ISSN journal
00304026 → ACNP
Volume
111
Issue
4
Year of publication
2000
Pages
179 - 183
Database
ISI
SICI code
0030-4026(2000)111:4<179:TOONVO>2.0.ZU;2-O
Abstract
The classical limit of the quantum Wigner distribution function is found to be either the classically defined Wigner distribution function or a perfec tly localized phase space distribution of interacting classical particles/o ptical rays. In the first case the negative values of the Wigner distributi on function are shown to be due to the nonlocal character of the wave field and are not a signature of the non-classical quantum states. The second ca se shows that the hidden assumption of interacting particles/rays, not expl icit in the quantum formulation, is a consequence of the nonlocal character of the quantum wavefunction.