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Algebraic structure of n-body systems

Emanuele Sorace
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Abstract

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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Emanuele Sorace. 2002-05-02. Algebraic structure of n-body systems. https://doi.org/10.1007/s00023-002-8630-9

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