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Physical interpretation of the Laplace operator

  1. Jul 1, 2011 #1
    "physical" interpretation of the Laplace operator

    Is there a "physical" interpretation of the Laplace operator, much like there exists a physical interpretation of the divergence and curl?
     
  2. jcsd
  3. Jul 2, 2011 #2

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    Re: Laplacian

    The divergence of an electric field indicates how strongly the field "diverges".

    But an electric field can be integrated to an electric potential.
    This makes the electric field the gradient of the electric potential.

    Now the laplacian of an electric potential indicates how strong the field associated with the potential diverges.
     
  4. Jul 3, 2011 #3
    Re: Laplacian

    Is it possible you meant that the laplacian of the potential says how much the electric field diverges?
     
  5. Jul 3, 2011 #4

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    Re: Laplacian

    Uhh, isn't that the same thing? :uhh:
     
  6. Jul 3, 2011 #5
    Re: Laplacian

    Uh, woops, yes, I misread your post.

    Thanks a lot!
     
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