Bounds on integrals of the Wigner function

Bracken, A. J., Doebner, H. and Wood, J. G. (1999) Bounds on integrals of the Wigner function. Physical Review Letters, 83 19: 3758-3761. doi:10.1103/PhysRevLett.83.3758

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Author Bracken, A. J.
Doebner, H.
Wood, J. G.
Title Bounds on integrals of the Wigner function
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 1999-11-08
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.83.3758
Open Access Status File (Publisher version)
Volume 83
Issue 19
Start page 3758
End page 3761
Total pages 4
Editor J. Sandweiss
Place of publication New York USA
Publisher American Physical Society
Collection year 1999
Language eng
Subject C1
780101 Mathematical sciences
240201 Theoretical Physics
010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
Abstract The integral of the Wigner function over a subregion of the phase space of a quantum system may be less than zero or greater than one. It is shown that for systems with 1 degree of freedom, the problem of determining the best possible upper and lower bounds on such an integral, over an possible states, reduces to the problem of finding the greatest and least eigenvalues of a Hermitian operator corresponding to the subregion. The problem is solved exactly in the case of an arbitrary elliptical region. These bounds provide checks on experimentally measured quasiprobability distributions.
Keyword Physics, Multidisciplinary
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 20 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 11:26:51 EST