Applications of the Pauli algebra and other geometric algebras.

Relationships among the complex numbers, quaternions, and the Pauli algebra are developed by presenting them as geometrical (Clifford) algebras. Rotations are examined using both quaternions and the Pauli algebra, and in particular, algorithms that are used in three-dimensional simulations and video games are formulated in the Pauli algebra. Relativity is presented using a number of formalisms, and the treatment of De Leo and Rotelli is clarified. The relationship between spinors and spacetime vectors is explored using the Pauli algebra. Dirac theory is exhibited using the Pauli algebra, and neutrino oscillations are discussed.Dept. of Physics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1999 .H33. Source: Masters Abstracts International, Volume: 39-02, page: 0520. Adviser: W. E. Baylis. Thesis (M.Sc.)--University of Windsor (Canada), 2000