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Finite-dimensional relativistic quantum mechanics
Authors:Stanley P Gudder
Institution:(1) Mathematics & Computer Science, University of Denver, 80208 Denver, Colorado
Abstract:A finite-dimensional relativistic quantum mechanics is developed by first quantizing Minkowski space. Two-dimensional space-time event observables are defined and quantum microscopic causality is studied. Three-dimensional colored even observables are introduced and second quantized on a representation space of the restricted Poincaré group. Creation, annihilation, and field operators are introduced and a finite-dimensional Dirac theory is presented.
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