Hi. Just going over some past exam papers and can't work out how to answer one of the questions as the course notes only use simple examples.
I need to use variational method to estimate the ground state energy of a physical system using a trial wavefunction:
phi = Aexp(-Br/2a) [B and a constants]
I'm then asked to normalise phi using spherical polar coordinates to show
A^2 = (B^3)/(8.pi.a^3)
I know this is done by finding the integral of phi*phi d^3r between 0<r<a, 0<theta<pi and 0<phi<2pi but I'm not sure what to do with the exponental function in this integral.
Anyone have any ideas? Thanks for your help.