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Programming and Computer Software

Erschienen in:

01.08.2023

Computer Algebra Tools for Geometrization of Maxwell’s Equations

verfasst von: A. V. Korol’kova, M. N. Gevorkyan, D. S. Kulyabov, L. A. Sevast’yanov

Erschienen in: Programming and Computer Software | Ausgabe 4/2023

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Abstract

Calculations of optical devices in the geometrized Maxwell’s theory use well-known formalisms of general theory of relativity and differential geometry. In particular, for such calculations it is required to know the analytical form of the geodesic equations, which leads to the need to calculate a large number of monotonous mathematical expressions. One of the purposes of computer algebra is to facilitate the researcher’s work by automating cumbersome symbolic computations. Thus, the use of computer algebra systems seems to be quite an obvious way. Several free implementations of symbolic computations for the apparatus of general relativity are considered. A practical example of symbolic computations for the geometrized Maxwell’s theory is given.

Vorheriger Artikel Investigation of the Influence of Constant Torque on Equilibrium Orientations of a Satellite Moving in a Circular Orbit with the Use of Computer Algebra Methods

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Titel: Computer Algebra Tools for Geometrization of Maxwell’s Equations
verfasst von: A. V. Korol’kova
M. N. Gevorkyan
D. S. Kulyabov
L. A. Sevast’yanov
Publikationsdatum: 01.08.2023
Verlag: Pleiades Publishing
Erschienen in: Programming and Computer Software / Ausgabe 4/2023
Print ISSN: 0361-7688
Elektronische ISSN: 1608-3261
DOI: https://doi.org/10.1134/S0361768823020111

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