Weak values of a quantum observable and the cross-Wigner distribution

We study the weak values of a quantum observable from the point of view of the Wigner formalism. The main actor here is the cross-Wigner transform of two functions, which is in disguise the cross-ambiguity function familiar from radar theory and time-frequency analysis. It allows us to express weak...

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Detalles Bibliográficos
Autores principales: de Gosson, Maurice A., de Gosson, Serge M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2012
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3261368/
https://www.ncbi.nlm.nih.gov/pubmed/22298941
http://dx.doi.org/10.1016/j.physleta.2011.11.007
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author de Gosson, Maurice A.
de Gosson, Serge M.
author_facet de Gosson, Maurice A.
de Gosson, Serge M.
author_sort de Gosson, Maurice A.
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description We study the weak values of a quantum observable from the point of view of the Wigner formalism. The main actor here is the cross-Wigner transform of two functions, which is in disguise the cross-ambiguity function familiar from radar theory and time-frequency analysis. It allows us to express weak values using a complex probability distribution. We suggest that our approach seems to confirm that the weak value of an observable is, as conjectured by several authors, due to the interference of two wavefunctions, one coming from the past, and the other from the future.
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spelling pubmed-32613682012-01-30 Weak values of a quantum observable and the cross-Wigner distribution de Gosson, Maurice A. de Gosson, Serge M. Phys Lett A Article We study the weak values of a quantum observable from the point of view of the Wigner formalism. The main actor here is the cross-Wigner transform of two functions, which is in disguise the cross-ambiguity function familiar from radar theory and time-frequency analysis. It allows us to express weak values using a complex probability distribution. We suggest that our approach seems to confirm that the weak value of an observable is, as conjectured by several authors, due to the interference of two wavefunctions, one coming from the past, and the other from the future. Elsevier 2012-01-09 /pmc/articles/PMC3261368/ /pubmed/22298941 http://dx.doi.org/10.1016/j.physleta.2011.11.007 Text en © 2012 Elsevier B.V. This document may be redistributed and reused, subject to certain conditions (http://www.elsevier.com/wps/find/authorsview.authors/supplementalterms1.0) .
spellingShingle Article
de Gosson, Maurice A.
de Gosson, Serge M.
Weak values of a quantum observable and the cross-Wigner distribution
title Weak values of a quantum observable and the cross-Wigner distribution
title_full Weak values of a quantum observable and the cross-Wigner distribution
title_fullStr Weak values of a quantum observable and the cross-Wigner distribution
title_full_unstemmed Weak values of a quantum observable and the cross-Wigner distribution
title_short Weak values of a quantum observable and the cross-Wigner distribution
title_sort weak values of a quantum observable and the cross-wigner distribution
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3261368/
https://www.ncbi.nlm.nih.gov/pubmed/22298941
http://dx.doi.org/10.1016/j.physleta.2011.11.007
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