Majorana-Oppenheimer approach to Maxwell electrodynamics. I: Minkowski space. (English) Zbl 1271.78011
The authors investigate the Maxwell electrodynamics in the presence of electrical sources and arbitrary media based on the Riemann-Silberstein-Majorana-Oppenheimer approach. The approach leads to the symmetric matrix equation under the complex rotation group \(SO(3,\mathbb{C})\). The authors studies the specific form of matrices in the cases of vacuum, of an arbitrary medium, and of Minkowski constitutive relations for arbitrary linear media. The authors also give the relation of the matrix model to spinor and quaternion forms.
Reviewer: Jong Hyuk Park (Ulsan)
MSC:
| 78A25 | Electromagnetic theory (general) |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 15B33 | Matrices over special rings (quaternions, finite fields, etc.) |
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