Spinor Representation of Spatial Rotation Group for Rigid Bodies

Abstract

The method of spinor representation of three-dimensional generalized rotations have been introduced. Relations between the parameters of the spinor representation of three-dimensional generalized rotations group and the coordinates of the initial and terminal points of rotation have been obtained. The simple relations between the elements of a three-dimensional orthogonal matrix of the basic representation and the Euler angles, on the one hand, and the coordinates of the initial and terminal points of rotation, on the other hand were derived.