Homogeneous and Inhomogeneous Maxwell’s Equations in Terms of Hodge Star Operator

  • Zakir Hossine Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka-1000
  • Md Showkat Ali Department of Applied Mathematics, University of Dhaka, Dhaka 1000
Keywords: Homogeneous, Inhomogeneous, Hodge Star operator, differential forms

Abstract

The main purpose of this work is to provide application of differential forms in physics. For this purpose, we describe differential forms, exterior algebra in details and then we express Maxwell’s equations by using differential forms. In the theory of pseudo-Riemannian manifolds there will be an important operator, called Hodge Star Operator. Hodge Star Operator arises in the coordinate free formulation of Maxwell’s equation in flat space-time. This operator is an important ingredient in the formulation of Stoke’stheorem.

GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 15-27

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Abstract
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Published
2018-02-20
How to Cite
Hossine, Z., & Ali, M. S. (2018). Homogeneous and Inhomogeneous Maxwell’s Equations in Terms of Hodge Star Operator. GANIT: Journal of Bangladesh Mathematical Society, 37, 15-27. https://doi.org/10.3329/ganit.v37i0.35722
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