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Volume Integral Orthogonal Polynomials

  1. Mar 12, 2014 #1

    VVS

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    Hello.

    1. The problem statement, all variables and given/known data
    Basically I want to evaluate the integral as shown in this document:
    View attachment integral.pdf


    2. Relevant equations



    3. The attempt at a solution
    The integral with the complex exponentials yields a Kronecker Delta.
    My question is whether this Delta can be taken inside the integral over phi space?
     
  2. jcsd
  3. Mar 12, 2014 #2

    BvU

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    I think so. That is to say you can simply replace p by m and forget about ##\theta##.
    Check for a possible constant factor in case you want to look at orthonormality. For orthogonality you don't have to bother.
     
  4. Mar 13, 2014 #3

    VVS

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    Thanks
     
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