q-Deformed Relativistic Wave Equations

Details q-Deformed Relativistic Wave Equations q-Deformed Relativistic Wave Equations

1993-10-15

arxiv.org/abs/hep-th/9310097v1

J.Math.Phys. 35 (1994) 2804-2817

Physics

High Energy Physics

High Energy Physics - Theory

17 Pages

Scientific paper

10.1063/1.530487

Based on the representation theory of the $q$-deformed Lorentz and Poincar\'e symmeties $q$-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 non-commu\-ta\-tive Minkowski space. The existence of the $q$-deformed wave equations together with previous existence of the $q$-deformed wave equations together with previous results on the representation theory of the $q$-deformed Poincar\'e symmetry solve the $q$-deformed relativistic one particle problem.

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