Hilbert Space Representation of an Algebra of Observables for q-Deformed Relativistic Quantum Mechanics

Abstract

Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation of this algebra in which the square of the mass $p^2$ is diagonal.Comment: 13 pages, LMU-TPW 94-