English

Mini review of Poincar\'e invariant quantum theory

Mathematical Physics 2011-03-07 v1 High Energy Physics - Theory math.MP Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1008.5215,
  title  = {Mini review of Poincar\'e invariant quantum theory},
  author = {W. N. Polyzou and Ch. Elster and W. Glöckle and J. Golak and Y. Huang and H. Kamada and R. Skibiński and H. Witała},
  journal= {arXiv preprint arXiv:1008.5215},
  year   = {2011}
}

Comments

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