Pauili Matrixes and Generalized Rotations

  • Hüseyin Önal
  • Vakhtang Rodonaia
  • David Chikovani

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.
Published
2006-01-30
How to Cite
ÖNAL, Hüseyin; RODONAIA, Vakhtang; CHIKOVANI, David. Pauili Matrixes and Generalized Rotations. IBSU Scientific Journal, [S.l.], v. 1, n. 1, p. 210-217, jan. 2006. ISSN 2233-3002. Available at: <https://journal.ibsu.edu.ge/index.php/ibsusj/article/view/24>. Date accessed: 08 aug. 2020.
Section
Engineering Science

Keywords

Spinors, Generalized Rotations, Hermitian Transformations, Orthogonal Transformations.