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Symbolic Studies of Maxwell's Equations in Space-Time Algebra Formalism.
- Source :
-
Programming & Computer Software . Apr2024, Vol. 50 Issue 2, p166-171. 6p. - Publication Year :
- 2024
-
Abstract
- Different implementations of Clifford algebra: spinors, quaternions, and geometric algebra, are used to describe physical and technical systems. The geometric algebra formalism is a relatively new approach, destined to be used primarily by engineers and applied researchers. In a number of works, the authors examined the implementation of the geometric algebra formalism for computer algebra systems. In this article, the authors extend elliptic geometric algebra to hyperbolic space-time algebra. The results are illustrated by different representations of Maxwell's equations. Using a computer algebra system, Maxwell's vacuum equations in the space-time algebra representation are converted to Maxwell's equations in vector formalism. In addition to practical application, the authors would like to draw attention to the didactic significance of these studies. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03617688
- Volume :
- 50
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Programming & Computer Software
- Publication Type :
- Academic Journal
- Accession number :
- 177392711
- Full Text :
- https://doi.org/10.1134/S0361768824020087