The inhomogeneity of a vector field as a sum of biquaternions, rotations, and spinors in a generalized Clifford algebra-Reference-Cited by-同舟云学术

The inhomogeneity of a vector field as a sum of biquaternions, rotations, and spinors in a generalized Clifford algebra

Published:2022-08-17 Issue: Volume: Page:
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Author:

Babaev Alimzhan¹^ORCID

Affiliation:

1. Free researcher

Abstract

In 4-dimensional curved space, the article presents the relations between the vector field inhomogeneity, biquaternions, rotations, and spinors. As a mathematical tool, the generalized Clifford algebra has been employed. The electromagnetic field inhomogeneity is proven to be made up of three independent rotations, biquaternions, and three pairs of spinors-antispinors.

Publisher

NPG Publishing

Reference8 articles.

1. [1] Babaev A. Kh. Alternative formalism is based on the Clifford algebra. SCI-ARTICLE. №40 (December) 2016. page 34. In Russian.

2. [2] Doran, Chris J. L. (1994), Geometric Algebra and its Application to Mathematical Physics (Ph.D. thesis), University of Cambridge, DOI: 10.17863/CAM.16148, hdl:1810/251691, OCLC 53604228. page 5.

3. [3] Grove, Larry C. (2002), Classical groups and geometric algebra, Graduate Studies in Mathematics, vol. 39, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-2019-3, MR 1859189

4. [4] Serge Lang, Algebra, - Rev. 3rd ed. ISBN 0 - 387 - 95385 - X, pp. 83 - 116. .

5. [5] Rukhsan-Ul-Haq (December 2016). "Geometry of Spin: Clifford Algebraic Approach", Spin and Clifford Algebras, an Introduction, pp. 17 - 27.

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