geometric_algebra
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revisionNext revisionBoth sides next revision | ||
| geometric_algebra [2021/10/20 08:03] – [Articles] pbk | geometric_algebra [2021/11/03 14:47] – [Lecture notes and tutorials] pbk | ||
|---|---|---|---|
| Line 281: | Line 281: | ||
| * [[https:// | * [[https:// | ||
| * [[https:// | * [[https:// | ||
| + | * [[https:// | ||
| ===== Videos ===== | ===== Videos ===== | ||
| Line 1383: | Line 1384: | ||
| * [[https:// | * [[https:// | ||
| The aim of this thesis will be to study the Clifford algebras that appear in the derivation of the Dirac equation and investigate alternative formulations of the Dirac equation using (complex) quaternions. To this end, we will first look at the symmetries of the Dirac equation and some of the additional insights that follow from the Dirac equation. We will also give a derivation of the Dirac equation starting from the Schrödinger equation, in which we will come across the gamma matrices. | The aim of this thesis will be to study the Clifford algebras that appear in the derivation of the Dirac equation and investigate alternative formulations of the Dirac equation using (complex) quaternions. To this end, we will first look at the symmetries of the Dirac equation and some of the additional insights that follow from the Dirac equation. We will also give a derivation of the Dirac equation starting from the Schrödinger equation, in which we will come across the gamma matrices. | ||
| + | |||
| + | * [[https:// | ||
| + | This paper presents and discusses the usage of Geometric Algebra (GA) for the analysis of electrical alternating current (AC) circuits. The potential benefits of this novel approach are highlighted in the study of linear and nonlinear circuits with sinusoidal and non-sinusoidal sources in the frequency domain, which are important issues in electrical engineering undergraduate courses. | ||
| ===== Books ===== | ===== Books ===== | ||
geometric_algebra.txt · Last modified: 2023/12/30 00:23 by pbk