Generalized Abelian Deformations: Application to Nambu Mechanics

Details Generalized Abelian Deformations: Application to Nambu Mechanics Generalized Abelian Deformations: Application to Nambu Mechanics

1996-09-15

arxiv.org/abs/hep-th/9609114v2

Lett.Math.Phys. 39 (1997) 107-125

Physics

High Energy Physics

High Energy Physics - Theory

Plain LaTeX209 file with AMS Fonts. 19 pages

Scientific paper

We study Abelian generalized deformations of the usual product of polynomials introduced in hep-th/9602016. We construct an explicit example for the case of $su/2$ which provides a tentative of a quantum-mechanical description of Nambu Mechanics on $R^3$. By introducing the notions of strong and weak triviality of generalized deformations, we show that the Zariski product is never trivial in either sense, while the example constructed here in a quantum-mechanical context is only strongly non-trivial.

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