Note on quantum Minkowski space

Journal Article · Mon Sep 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.064068· OSTI ID:21254149

Bentalha, Z ^[1]; Tahiri, M ^[2]

---

1. Laboratoire de Physique Theorique, Universite de Tlemcen, Tlemcen (Algeria)
2. Laboratoire de Physique Theorique, Universite d'Oran Es-senia, 31100 Oran (Algeria)

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 q-spinors (precisely the tensor product of dotted and undotted fondamental q-spinors) to Minkowski q-vectors. 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 q-deformed orthogonality relation.

• OSTI ID: 21254149
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 6; Other Information: DOI: 10.1103/PhysRevD.78.064068; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EUCLIDEAN SPACE
LORENTZ GROUPS
MINKOWSKI SPACE
QUANTUM MECHANICS
ROTATION
SPINORS