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Gamov vectors in the Bakamjian-Thomas construction. (English) Zbl 1146.81046

Summary: We show that the Bakamjian-Thomas construction for relativistic direct interactions can be extended to describe resonances by irreducible representations of the causal Poincaré semigroup. These representations are generated by a Poincaré algebra that incorporates interactions and are characterized by the complex pole position and spin of the resonance.

MSC:

81U05 \(2\)-body potential quantum scattering theory
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
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