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http://dx.doi.org/10.5140/JASS.2020.37.2.131

Creating and Transforming a Second-Rank Antisymmetric Field-Strength Tensor Fαβ in Minkowski Space using MATHEMATICA  

Kim, Bogyeong (Department of Astronomy, Space Science and Geology, Chungnam National University)
Yun, Hee-Joong (College of Techno-Sciences, Mokwon University)
Publication Information
Journal of Astronomy and Space Sciences / v.37, no.2, 2020 , pp. 131-142 More about this Journal
Abstract
As the laws of physics are expressed in a manner that makes their invariance under coordinate transformations manifest, they should be written in terms of tensors. Furthermore, tensors make manifest the characteristics and behaviors of electromagnetic fields through inhomogeneous, anisotropic, and compressible media. Electromagnetic fields are expressed completely in tensor form, Fαβ, which implies both electric field ${\overrightarrow{E}}$ and magnetic field ${\overrightarrow{B}}$ rather than separately in the vector fields. This study presents the Mathematica platform that generates and transforms a second-rank antisymmetric field-strength tensor Fαβ and whiskbroom pattern in Minkowski space. The platforms enhance the capabilities of students and researchers in tensor analysis and improves comprehension of the elegant features of complete structure in physics.
Keywords
covariant field tensor; MATHEMATICA platform; whiskbroom platform; second-rank antisymmetric field-strength tensor $F^{{\alpha}{\beta}}$; Minkowski space;
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Times Cited By KSCI : 4  (Citation Analysis)
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