https://doi.org/10.1140/epjc/s2003-01306-2
theoretical physics
Free q-deformed relativistic wave equations by representation theory
1
Sektion Physik, Lehrstuhl Prof. Wess, Ludwig-Maximilians-Universität München, Theresienstr. 37, 80333, München, Germany
2
Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany
* e-mail: Christian.Blohmann@Physik.Uni-Muenchen.de
In a representation theoretic approach a free q-relativistic wave equation must have the property that the space of solutions is an irreducible representation of the q-Poincaré algebra. It is shown how this requirement uniquely determines the q-wave equations. As examples, the q-Dirac equation (including q-gamma matrices which satisfy a q-Clifford algebra), the q-Weyl equations, and the q-Maxwell equations are computed explicitly.
© Springer-Verlag, 2003
