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Mini Review of Poincaré Invariant Quantum Theory

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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.

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Authors and Affiliations

  1. Department of Physics and Astronomy, The University of Iowa, Iowa City, IA, 52242, USA

    W. N. Polyzou & Y. Huang

  2. Institute of Nuclear and Particle Physics, Department of Physics and Astronomy, Ohio University, Athens, OH, 45701, USA

    Ch. Elster

  3. Institut für theoretische Physik II, Ruhr-Universität Bochum, 44780, Bochum, Germany

    W. Glöckle

  4. M. Smoluchowski Institute of Physics, Jagiellonian University, 30059, Kraków, Poland

    J. Golak, R. Skibiński & H. Witała

  5. Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, 1-1 Sensuicho Tobata, Kitakyushu, 804-8550, Japan

    H. Kamada

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  1. W. N. Polyzou
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  2. Ch. Elster
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  3. W. Glöckle
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  4. J. Golak
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  5. Y. Huang
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  6. H. Kamada
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  7. R. Skibiński
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  8. H. Witała
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Correspondence to W. N. Polyzou.

Additional information

“Relativistic Description of Two- and Three-Body Systems in Nuclear Physics”, ECT*, October 19–23, 2009.

This work was performed under the auspices of the U.S. Department of Energy, Office of Nuclear Physics, under contract No. DE-FG02-86ER40286.

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Polyzou, W.N., Elster, C., Glöckle, W. et al. Mini Review of Poincaré Invariant Quantum Theory. Few-Body Syst 49, 129–147 (2011). https://doi.org/10.1007/s00601-010-0149-x

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