Pauili Matrixes and Generalized Rotations

Abstract

In the article, using spinor representation of orthogonal transformations, the equations, for generalized rotations are received. The rotations are defined as set of all possible rotations, both with zero, and non-zero centers which carry out transformations of initial 3-dimensional point into a final. The expressions between second order complex unitary transformations matrixes and real orthogonal matrixes of rotations in L³ are received, that allows easily calculating of corresponding Euler's angles.