For spherical coordinates, we will need to use Legendre Polynomials,
a.Sketch graphs of the first 3 – P0(x), P1(x), and P2(x).
b.Evaluate the orthogonality relationship (eq 3.68) to show these 3 functions are
orthogonal to each other. (3 integrals).
c.Show that the normalization result is 2/2l+1 as stated in eq 3.68.
The Attempt at a Solution
I believe I got part a, but I am unsure how to do the rest. I don't see where the equation that has the theta terms, comes in to use.