vector potential
Let
be a vector field
in
with continuous partial derivatives. Then the following three conditions are equivalent:
- The surface integrals of
over all contractible closed surfaces
vanish:
- The divergence
of
vanishes everywhere in the field:
- There exists the vector potential
of
:
Under those conditions, the vector field
is called solenoidal.
- 1
- K. V¨AISÄLÄ: Vektorianalyysi. Werner Söderström Osakeyhtiö, Helsinki (1961).
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