Re: Integrating SphericalHarmonicY
- To: mathgroup at smc.vnet.net
- Subject: [mg73242] Re: Integrating SphericalHarmonicY
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Thu, 8 Feb 2007 03:45:00 -0500 (EST)
- Organization: The University of Western Australia
- References: <eq9c4v$n37$1@smc.vnet.net>
In article <eq9c4v$n37$1 at smc.vnet.net>, wgempel at yahoo.com wrote:
> I would like
>
> Integrate[
> Conjugate[SphericalHarmonicY[l,m,theta,phi]]
> SphericalHarmonicY[l,m,theta,phi] Sin[theta],
> {theta, 0, Pi}, {phi, 0, 2 Pi}]
Further to my previous posting, I should have mentioned that the
particular 3-j coefficient reduces automatically:
Simplify[Sqrt[2 l + 1] (-1)^(l - m)*
ThreeJSymbol[{l, m}, {l, -m}, {0, 0}], Element[{l, m},Integers]]
1
Also, see
http://mathworld.wolfram.com/SphericalHarmonic.html
and the Notebook at this URL.
Cheers,
Paul
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Paul Abbott Phone: 61 8 6488 2734
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