Non-positivity of the Wigner function and bounds on associated integrals
Quantum Physics
2009-11-10 v1
Abstract
The Wigner function shares several properties with classical distribution functions on phase space, but is not positive-definite. The integral of the Wigner function over a given region of phase space can therefore lie outside the interval [0,1]. The problem of finding best-possible upper and lower bounds for a given region is the problem of finding the greatest and least eigenvalues of an associated Hermitian operator. Exactly solvable examples are described, and possible extensions are indicated.
Keywords
Cite
@article{arxiv.quant-ph/0304110,
title = {Non-positivity of the Wigner function and bounds on associated integrals},
author = {A. J. Bracken and D. Ellinas and J. G. Wood},
journal= {arXiv preprint arXiv:quant-ph/0304110},
year = {2009}
}
Comments
5 pages, Latex2e file