Integrating SphericalHarmonicY
- To: mathgroup at smc.vnet.net
- Subject: [mg73181] Integrating SphericalHarmonicY
- From: wgempel at yahoo.com
- Date: Tue, 6 Feb 2007 03:47:09 -0500 (EST)
I would like
Integrate[
Conjugate[SphericalHarmonicY[l,m,theta,phi]]
SphericalHarmonicY[l,m,theta,phi] Sin[theta],
{theta, 0, Pi}, {phi, 0, 2 Pi}]
to evaluate to 1 (without having to force it through a rule every
time).
I have tried
$Assumptions =
{Element[Alternatives[theta,phi], Reals] &&
Element[Alternatives[l,m], Integers] &&
l >= Abs[m]}
Thanks for any help.