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Electromagnetic fields satisfying the condition \(B\wedge (\nabla \wedge B)=0\) - MaRDI portal

Electromagnetic fields satisfying the condition \(B\wedge (\nabla \wedge B)=0\) (Q1115776)

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scientific article; zbMATH DE number 4087357
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English
Electromagnetic fields satisfying the condition \(B\wedge (\nabla \wedge B)=0\)
scientific article; zbMATH DE number 4087357

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    Electromagnetic fields satisfying the condition \(B\wedge (\nabla \wedge B)=0\) (English)
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    1988
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    It is proved that (1) electromagnetic fields with electric and magnetic components parallel to one another are solutions of Maxwell's equations; (2) the equation \(B\wedge (\nabla \wedge B)=0\) (B is the magnetic field) is gauge and relativistically-invariant for systems of reference moving with velocity \(v/c=E\wedge B(1+v^ 2/c^ 2)/(E^ 2+B^ 2)\).
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    force-free fields
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    relaxed state of plasma
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    electromagnetic fields
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    Maxwell's equations
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