Mini review of Poincaré invariant quantum theory

Abstract

We review the construction and applications of exactly Poincaré invariant quantum mechanical models of few-degree of freedom systems. We discuss the construction of dynamical representations of the Poincaré group on few-particle Hilbert spaces, the relation to quantum field theory, the formulation of cluster properties, and practical considerations related to the construction of realistic interactions and the solution of the dynamical equations. Selected applications illustrate the utility of this approach.

Comments: Contribution to "Relativistic Description of Two- and Three-Body Systems in Nuclear Physics", ECT*, October 19-23 2009, 19 pages, 6 figures