Mini review of Poincaré invariant quantum theory

Details Mini review of Poincaré invariant quantum theory Mini review of Poincaré invariant quantum theory

2010-08-31

arxiv.org/abs/1008.5215v1

Few Body Syst.49:129-147,2011

Physics

Mathematical Physics

Contribution to "Relativistic Description of Two- and Three-Body Systems in Nuclear Physics", ECT*, October 19-23 2009, 19 pag

Scientific paper

10.1007/s00601-010-0149-x

We review the construction and applications of exactly Poincar\'e invariant quantum mechanical models of few-degree of freedom systems. We discuss the construction of dynamical representations of the Poincar\'e 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.

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