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The Dirac operator and gamma matrices for quantum Minkowski spaces. (English) Zbl 0887.58067
Summary: Gamma matrices for quantum Minkowski spaces are found. The invariance of the corresponding Dirac operator is proven. We introduce momenta for spin 1/2 particles and get (in certain cases) formal solutions of the Dirac equation.

58Z05 Applications of global analysis to the sciences
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
Full Text: DOI arXiv
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