q-deformed relativistic wave equations

Based on the representation theory of the q-deformed Lorentz and Poincaré symmetries q-deformed relativistic wave equation are constructed. The most important cases of the Dirac, Proca, Rarita-Schwinger, and Maxwell equations are treated explicitly. The q-deformed wave operators look structurally like the undeformed ones but they consist of the generators of a noncommutative Minkowski space. The existence of the q-deformed wave equations together with previous results on the representation theory of the q-deformed Poincaré symmetry solve the q-deformed relativistic one particle problem.