q-Deformed Relativistic Wave Equations
High Energy Physics - Theory
2009-10-22 v1
Abstract
Based on the representation theory of the -deformed Lorentz and Poincar\'e 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 Poincar\'e symmetry solve the -deformed relativistic one particle problem.
Cite
@article{arxiv.hep-th/9310097,
title = {q-Deformed Relativistic Wave Equations},
author = {Mathias Pillin},
journal= {arXiv preprint arXiv:hep-th/9310097},
year = {2009}
}
Comments
17 Pages