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

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

1994-08-19

arxiv.org/abs/hep-th/9408111v1

Z.Phys.C67:681-686,1995

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LMU-TPW 94-4

Scientific paper

10.1007/BF01553995

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.

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