Algebraic structure of n-body systems

Details Algebraic structure of n-body systems Algebraic structure of n-body systems

2002-05-02

arxiv.org/abs/hep-th/0205023v1

Annales Henri Poincare 3 (2002) 659-671

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

A general method to easily build global and relative operators for any number n of elementary systems if they are defined for 2 is presented. It is based on properties of the morphisms valued in the tensor products of algebras of the kinematics and it allows also the generalization to any n of relations demon- strated for two. The coalgebra structures play a peculiar role in the explicit constructions. Three examples are presented concerning the Galilei, Poincare' and deformed Galilei algebras.

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