6533b850fe1ef96bd12a8394
RESEARCH PRODUCT
Radon transform as a set of probability distributions
Vladimir I. Man’koBenedetto MilitelloMargarita A. Man’koAntonino Messinasubject
Integral transformsOptical tomographySettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciRadon transformCharacteristic function (probability theory)Mathematical analysisWigner semicircle distributionCondensed Matter PhysicsConvolution of probability distributionsAtomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della MateriaRegular conditional probabilityProbability distributionWigner distribution functionQuantum tomographyMathematical PhysicsMathematicsK-distributiondescription
It is proved that the Radon transform of the Wigner function gives the probability distributions related to measuring the observable operators obtained as linear combinations of position and momentum of the relevant particle. The generalization to an arbitrary number of degrees of freedom is given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-10-05 |