On the ternary complex analysis and its applications

Details On the ternary complex analysis and its applications On the ternary complex analysis and its applications

2007-11-06

arxiv.org/abs/0711.0809v1

J.Math.Phys.49:013502,2008

Physics

Mathematical Physics

LaTeX 28 pages

Scientific paper

10.1063/1.2827469

Previouly a possible extension of the complex number, together with its connected trigonometry was introduced. In this paper we focuss on the simplest case of ternary complex numbers. Then, some types of holomorphicity adapted to the ternary complex numbers and the corresponding results upon integration of differential forms are given. Several physical applications are given, and in particuler one type of holomorphic function gives rise to a new form of stationary magnetic field. The movement of a monopole type object in this field is then studied and shown to be integrable. The monopole scattering in the ternary field is finally studied.

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