On algebraic models of relativistic scattering

Details On algebraic models of relativistic scattering On algebraic models of relativistic scattering

2008-08-08

arxiv.org/abs/0808.1156v1

J.Phys.A41:395306,2008

Physics

Mathematical Physics

10 pages, to appear in J. Phys. A : Math. Theor

Scientific paper

10.1088/1751-8113/41/39/395306

In this paper we develop an algebraic technique for building relativistic models in the framework of direct-interaction theories. The interacting mass operator M in the Bakamjian-Thomas construction is related to a quadratic Casimir operator C of a non-compact group G. As a consequence, the S matrix can be gained from an intertwining relation between Weyl-equivalent representations of G. The method is illustrated by explicit application to a model with SO(3,1) dynamical symmetry.

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