Linear Invariants of a Cartesian Tensor Under SO(2), SO(3) and SO(4)

Author: Rashid Muneer   Ahmad Faiz   Amir Naila  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.50, Iss.2, 2011-02, pp. : 479-487

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

A general theory for finding the invariants of an arbitrary tensor is described. Group theoretic methods produce formulas which precisely determine the number of invariants for a Cartesian tensor of arbitrary rank defined over a space of dimension 2,3 or 4. Explicit expressions are obtained for simple cases.