Physics – Quantum Physics
Scientific paper
2003-04-16
Physics
Quantum Physics
5 pages, Latex2e file
Scientific paper
10.1556/APH.20.2004.1-2.24
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.
Bracken Anthony J.
Ellinas Demosthenes
Wood Gary J.
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