Yes, I should evaluate the product:
\langle \phi_{n, l ,m} | \psi \rangle
But suppose I want to tackle the second question, if a value of 6 \hbar is found for L^2 this means that l = 2, and then m = \pm 1 ; \pm 2 ; 0. So I should evaluate the coefficents
\langle \phi_{n, 2, \pm 1} | \psi...
I am trying to solve the following exercise.
In a H atom the electron is in the state described by the wave function in spherical coordinates:
\psi (r, \theta, \phi) = e^{i \phi}e^{-(r/a)^2(1- \mu\ cos^2\ \theta)}
With a and \mu positive real parameters. Tell what are the possible values...