P. Podles, SOLUTIONS OF KLEIN-GORDON AND DIRAC EQUATIONS ON QUANTUM MINKOWSKI SPACES, Communications in Mathematical Physics, 181(3), 1996, pp. 569-585
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.