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 _______________________________________________________________________ Paul Abbott Phone: 61 8 6488 2734 School of Physics, M013 Fax: +61 8 6488 1014 The University of Western Australia (CRICOS Provider No 00126G) AUSTRALIA http://physics.uwa.edu.au/~paul