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Position-momentum entropic uncertainty relation and complementarity in single-slit and double-slit experiments

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorSánchez-Ruiz, Jorge
dc.date.accessioned2010-01-28T09:35:27Z
dc.date.available2010-01-28T09:35:27Z
dc.date.issued1998-03
dc.description7 pages, 3 figures.-- PACS nrs.: 03.65.Bz.
dc.description.abstractThe exact analytical values of the position and momentum information entropies are calculated for the single-slit and double-slit diffraction experiments. In both cases, the product of the exponentials of the entropies is strictly greater than the lower bound πeħ given by the optimal entropic uncertainty relation for position and momentum, which implies that the single-slit and double-slit configurations are not minimum-uncertainty states. The results obtained show that the position-momentum entropic uncertainty relation provides a rigorous quantitative expression for the uncertainty principle in these experiments, unlike the Heisenberg inequality for standard deviations. However, it is also shown that, in the double-slit experiment, wave-particle duality cannot be derived from the entropic uncertainty relation.
dc.description.sponsorshipThe author gratefully acknowledges the financial support of the Fundació Aula, Barcelona, Spain.
dc.description.statusPublicado
dc.format.mimetypetext/html
dc.identifier.bibliographicCitationPhysical Review A, 1998, vol. 57, n. 3, p. 1519-1525
dc.identifier.doi10.1103/PhysRevA.57.1519
dc.identifier.issn1050-2947 (Print)
dc.identifier.issn1094-1622 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6667
dc.language.isoeng
dc.publisherThe American Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevA.57.1519
dc.rights© The American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.other[PACS] Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry’s phase).
dc.titlePosition-momentum entropic uncertainty relation and complementarity in single-slit and double-slit experiments
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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