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Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics
Author
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates.
However, spacetime noncommutativity can also be introduced into single-particle covariant quantum mechanics, replacing the commuting operators representing the particle’s spacetime coordinates with noncommuting ones.
In this paper, we provide a full characterization of a wide class of physically sensible single-particle noncommutative spacetime models and the associated deformed relativistic symmetries.
In particular, we prove that they can all be obtained from the standard Minkowski model and the usual Poincaré transformations via a suitable change of variables.
Contrary to previous studies, we find that spacetime noncommutativity does not affect the dispersion relation of a relativistic quantum particle, but only the transformation properties of its spacetime coordinates under translations and Lorentz transformations.
American Psychological Association (APA)
Moia, Alessandro. 2017. Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1122046
Modern Language Association (MLA)
Moia, Alessandro. Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics. Advances in High Energy Physics No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1122046
American Medical Association (AMA)
Moia, Alessandro. Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1122046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122046