Note on quantum Minkowski space
Abstract
In this work, some interesting details about quantum Minkowski space and quantum Lorentz group structures are revealed. The task is accomplished by generalizing an approach adopted in a previous work where quantum rotation group and quantum Euclidean space structures have been investigated. The generalized method is based on a mapping relating the qspinors (precisely the tensor product of dotted and undotted fondamental qspinors) to Minkowski qvectors. As a result of this mapping, the quantum analog of Minkowski space is constructed (with a definite metric). Also, the matrix representation of the quantum Lorentz group is determined together with its corresponding qdeformed orthogonality relation.
 Authors:
 Laboratoire de Physique Theorique, Universite de Tlemcen, Tlemcen (Algeria)
 Laboratoire de Physique Theorique, Universite d'Oran Essenia, 31100 Oran (Algeria)
 Publication Date:
 OSTI Identifier:
 21254149
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 78; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.78.064068; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EUCLIDEAN SPACE; LORENTZ GROUPS; MINKOWSKI SPACE; QUANTUM MECHANICS; ROTATION; SPINORS
Citation Formats
Bentalha, Z., and Tahiri, M. Note on quantum Minkowski space. United States: N. p., 2008.
Web. doi:10.1103/PHYSREVD.78.064068.
Bentalha, Z., & Tahiri, M. Note on quantum Minkowski space. United States. doi:10.1103/PHYSREVD.78.064068.
Bentalha, Z., and Tahiri, M. 2008.
"Note on quantum Minkowski space". United States.
doi:10.1103/PHYSREVD.78.064068.
@article{osti_21254149,
title = {Note on quantum Minkowski space},
author = {Bentalha, Z. and Tahiri, M.},
abstractNote = {In this work, some interesting details about quantum Minkowski space and quantum Lorentz group structures are revealed. The task is accomplished by generalizing an approach adopted in a previous work where quantum rotation group and quantum Euclidean space structures have been investigated. The generalized method is based on a mapping relating the qspinors (precisely the tensor product of dotted and undotted fondamental qspinors) to Minkowski qvectors. As a result of this mapping, the quantum analog of Minkowski space is constructed (with a definite metric). Also, the matrix representation of the quantum Lorentz group is determined together with its corresponding qdeformed orthogonality relation.},
doi = {10.1103/PHYSREVD.78.064068},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 78,
place = {United States},
year = 2008,
month = 9
}
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