Publication
Title
Unified representation of 3D multivectors with Pauli algebra in rectangular, cylindrical and spherical coordinate systems
Author
Abstract
In practical engineering, the use of Pauli algebra can provide a computational advantage, transforming conventional vector algebra to straightforward matrix manipulations. In this work, the Pauli matrices in cylindrical and spherical coordinates are reported for the first time and their use for representing a three-dimensional vector is discussed. This method leads to a unified representation for 3D multivectors with Pauli algebra. A significant advantage is that this approach provides a representation independent of the coordinate system, which does not exist in the conventional vector perspective. Additionally, the Pauli matrix representations of the nabla operator in the different coordinate systems are derived and discussed. Finally, an example on the radiation from a dipole is given to illustrate the advantages of the methodology.
Language
English
Source (journal)
Symmetry
Publication
2022
ISSN
2073-8994
DOI
10.3390/SYM14081684
Volume/pages
14 :8 (2022) , p. 1-22
Article Reference
1684
ISI
000845301100001
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier c:irua:190693
Creation 04.10.2022
Last edited 01.11.2024
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