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.

13 pages, LMU-TPW 94-4

References in corpus (1)

• Reality in the Differential Calculus on q-euclidean Spaces

Cited by in corpus (1)

• Analysis on q-deformed quantum spaces