Spherical Harmonics

  • Thread starter pgerlein
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  • #1
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Homework Statement



Hi!!! I need help with this. I have to calculate the expression of a function using spherical harmonics. The relevant equations are given below. An example of a function can be f(theta,phi) = sin(theta)... Can you help me to calculate de coeficients and to express the function? Thanks.


Homework Equations



View attachment formulas.doc

The Attempt at a Solution

 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
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Hola pgerlein. Welcome to PF:smile:

Why don't you show us what you've tried for your example ([itex]f(\theta,\phi)=sin(\theta)[/itex]) and we'll know how to help you better.

To make equation writing easier, this forum supports LaTeX. You can find an introduction to using it by clicking here
 
  • #3
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I can´t understand the use of this base (spherical harmonics). If I solve the ecuation that gives the coefficients value, how can I express the function in terms of the spherical harmonics?
 
  • #4
AEM
360
0
How would you express a function in terms of a Fourier series, for example? Essentially it's the same idea when you write any function in terms of an infinite series of basis functions.
 

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