Symbolic studies of Maxwell’s equations in space-time algebra formalism

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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.

作者简介

A. Korol’kova

RUDN University

编辑信件的主要联系方式.
Email: korolkova-av@rudn.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198

M. Gevorkyan

RUDN University

Email: gevorkyan-mn@rudn.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198

A. Fedorov

RUDN University

Email: 1042210107@rudn.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198

K. Shtepa

RUDN University

Email: 1042210111@pfur.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198

D. Kulyabov

RUDN University; Joint Institute for Nuclear Research

Email: kulyabov-ds@rudn.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198; Dubna, Moscow oblast, 141980

参考

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