I have to show that the p orbital wavefunctions are orthonormal to eath other in l=1 subspace.
The Attempt at a Solution
looking at my notes, I thought the expressions for p orb wavefunctions were:
Psi_px=sqrt(3/4pi) cos(phi) sin(theta)
Psi_py=sqrt(3/4pi) cos(theta) sin(theta)
I can show that they are all orthogonal to each other (for instance, integral of psi_px times psi_py gives 0) over the range of 0<theta<pi, 0<phi<2pi.
However, I cannot show that they are all normal (square of each psi is equal to 1).... do I have the wrong psi expressions or am I integrating wrong??