vector potential
Let be a vector field in with continuous partial derivatives. Then the following three conditions are equivalent (http://planetmath.org/Equivalent3):
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The surface integrals of over all contractible closed surfaces (http://planetmath.org/Sphere) vanish:
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The divergence of vanishes everywhere in the field (http://planetmath.org/VectorField):
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There exists the vector potential of :
References
- 1 K. Väisälä: Vektorianalyysi. Werner Söderström Osakeyhtiö, Helsinki (1961).
Title | vector potential |
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Canonical name | VectorPotential |
Date of creation | 2013-03-22 15:42:54 |
Last modified on | 2013-03-22 15:42:54 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 8 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 26B12 |
Related topic | IntegrationWithRespectToSurfaceArea |
Related topic | LaminarField |
Related topic | KalleVaisala |