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Violation of Hudson’s theorem in relativistic quantum mechanics

Author(s): Campos, Andre G.; Cabrera, Renan; Bondar, Denys I.; Rabitz, Herschel A.

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dc.contributor.authorCampos, Andre G.-
dc.contributor.authorCabrera, Renan-
dc.contributor.authorBondar, Denys I.-
dc.contributor.authorRabitz, Herschel A.-
dc.date.accessioned2020-10-30T18:35:50Z-
dc.date.available2020-10-30T18:35:50Z-
dc.date.issued2014-09-24en_US
dc.identifier.citationCampos, Andre G., Cabrera, Renan, Bondar, Denys I., Rabitz, Herschel A. (2014). Violation of Hudson’s theorem in relativistic quantum mechanics. PHYSICAL REVIEW A, 90 (10.1103/PhysRevA.90.034102en_US
dc.identifier.issn1050-2947-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr12n63-
dc.description.abstractIn nonrelativistic quantum mechanics, Hudson’s theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.en_US
dc.format.extent034102-1 034102-4en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW Aen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleViolation of Hudson’s theorem in relativistic quantum mechanicsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevA.90.034102-
dc.identifier.eissn1094-1622-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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