In physics one often uses the following: If the rotation of a vector field A vanishes, one can write A as the gradient of some scalar field, i.e. [tex]rot(A)=0 \Rightarrow A=\bigtriangledown \Phi[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

Is this true without further restrictions? If yes: Why?

Thanks in advance...Cliowa

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# Vector field uniquely determined by rot/div

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