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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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Abstract: In 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.
Publication Date: 24-Sep-2014
Citation: Campos, 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.90.034102
DOI: doi:10.1103/PhysRevA.90.034102
ISSN: 1050-2947
EISSN: 1094-1622
Pages: 034102-1 034102-4
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW A
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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