Date of Award
2000
Publication Type
Master Thesis
Degree Name
M.Sc.
Department
Physics
Keywords
Physics, Elementary Particles and High Energy.
Supervisor
Baylis, W. E.
Rights
info:eu-repo/semantics/openAccess
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Abstract
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.
Recommended Citation
Hadi, Shazia., "Applications of the Pauli algebra and other geometric algebras." (2000). Electronic Theses and Dissertations. 1203.
https://scholar.uwindsor.ca/etd/1203