q-Deformed Relativistic Wave Equations
arXiv:hep-th/9310097 · doi:10.1063/1.530487
Abstract
Based on the representation theory of the -deformed Lorentz and Poincaré symmeties -deformed relativistic wave equation are constructed. The most important cases of the Dirac-, Proca-, Rarita-Schwinger- and Maxwell- equations are treated explicitly. The -deformed wave operators look structurally like the undeformed ones but they consist of the generators of a non-commu\-ta\-tive Minkowski space. The existence of the -deformed wave equations together with previous existence of the -deformed wave equations together with previous results on the representation theory of the -deformed Poincaré symmetry solve the -deformed relativistic one particle problem.
17 Pages