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Nabla Operator in Spherical Coordinates

  1. Oct 7, 2013 #1

    VVS

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    1. The problem statement, all variables and given/known data

    Exercise 1.3 on uploaded Problem Sheet.
    View attachment WS1314_Exercises01.pdf


    2. Relevant equations

    Shown in Exercise 1.3 on Problem Sheet
    View attachment WS1314_Exercises01.pdf


    3. The attempt at a solution

    Uploaded working: View attachment Übung 3 v2_2.pdf
    I have found the inverse of the Transformation Matrix from Cartesian to Spherical Coordinates by transposing it (since it is orthogonal) and I have evaluated the chain rule derivatives.
    Now I think all I have to do is plug those into the definition for the operator Nabla and simplify.
    But strangely I get wrong results.

    Please help me.

    Thank you
    VVS
     
  2. jcsd
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