TWISTED H-SPACETIMES AND INVARIANT EQUATIONS

Citation
Ja. Deazcarraga et al., TWISTED H-SPACETIMES AND INVARIANT EQUATIONS, Zeitschrift fur Physik. C, Particles and fields, 76(3), 1997, pp. 567-576
Citations number
52
ISSN journal
01709739
Volume
76
Issue
3
Year of publication
1997
Pages
567 - 576
Database
ISI
SICI code
0170-9739(1997)76:3<567:THAIE>2.0.ZU;2-X
Abstract
We analyze the h-deformations of the Lorentz group and their associate d spacetimes. We prove that they have a twisted character and give exp licitly the twisting matrices. After studying the representations of o ne of the deformed spacetime algebras, we discuss the Klein-Gordon ope rator. It is found that the h-deformed d'Alembertian has plane wave so lutions of the same form as the standard ones. We also give explicit e xpressions for the h-gamma matrices defining the associated Dirac equa tions.