# Nabla Operator in Spherical Coordinates

1. Oct 7, 2013

### VVS

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.

Thank you
VVS