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Free q-Deformed Relativistic Wave Equations by Representation Theory

Christian Blohmann
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Abstract

In a representation theoretic approach a free q-relativistic wave equation must be such, that the space of solutions is an irreducible representation of the q-Poincare 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.

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Christian Blohmann. 2003-09-02. Free q-Deformed Relativistic Wave Equations by Representation Theory. https://doi.org/10.1140/epjc%2Fs2003-01306-2

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