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arXiv · hep-th/9310097

q-Deformed Relativistic Wave Equations

Mathias Pillin
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Abstract

Based on the representation theory of the $q$-deformed Lorentz and Poincaré 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 Poincaré symmetry solve the $q$-deformed relativistic one particle problem.

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Mathias Pillin. 1993-10-15. q-Deformed Relativistic Wave Equations. https://doi.org/10.1063/1.530487

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