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

Wickramasekara, Sujeev

J. Geom. Symmetry Phys. 11, 67-75 (2008).

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