SOLUTIONS OF KLEIN-GORDON AND DIRAC EQUATIONS ON QUANTUM MINKOWSKI SPACES

Authors
Citation
P. Podles, SOLUTIONS OF KLEIN-GORDON AND DIRAC EQUATIONS ON QUANTUM MINKOWSKI SPACES, Communications in Mathematical Physics, 181(3), 1996, pp. 569-585
Citations number
36
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
181
Issue
3
Year of publication
1996
Pages
569 - 585
Database
ISI
SICI code
0010-3616(1996)181:3<569:SOKADE>2.0.ZU;2-9
Abstract
Covariant differential calculi and exterior algebras on quantum homoge neous spaces endowed with the action of inhomogeneous quantum groups a re classified. In the case of quantum Minkowski spaces they have the s ame dimensions as in the classical case. Formal solutions of the corre sponding Klein-Gordon and Dirac equations are found. The Fock space co nstruction is sketched.