The Dirac operator and gamma matrices for quantum Minkowski spaces

Abstract

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.

25 pages, LaTeX file

References in corpus (4)

• On the classification of quantum Poincaré groups
• Solutions of Klein--Gordon and Dirac equations on quantum Minkowski spaces
• On the structure of inhomogeneous quantum groups
• Quantum groups and deformed special relativity

Cited by in corpus (2)

• Introduction to quantum groups
• Spinor calculus for q-deformed quantum spaces II