Deformations of the Canonical Commutation Relations and Metric Structures

Using Connes distance formula in noncommutative geometry, it is possible to retrieve the Euclidean distance from the canonical commutation relations of quantum mechanics. In this note, we study modifications of the distance induced by a deformation of the position-momentum commutation relations. We...

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Bibliographic Details
Date:2014
Main Authors: D'Andrea, F., Lizzi, F., Martinetti, P.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146655
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Deformations of the Canonical Commutation Relations and Metric Structures / F. D'Andrea, F. Lizzi, P. Martinetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 33 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine