In a beta decay H3 -> He3+, use the sudden perturbation approximation to determine the probability of that an electron initially in the 1s state of H3 will end up in the |n=16,l=3,m=0> state of He3+
The Attempt at a Solution
I actually know the answer to this but I am not clear as to why and I am wondering if there is an easier way to determine the solution.
The answer comes out to be 0. When integrating the wavefunctions |n'l'm'> and |nlm> in spherical coordinates to calculate the inner product (i.e. the probability amplitude), the integral over [tex] d\theta[/tex] returns 0. Is there an easier way to see this other than going through the calculations?
How is this result interpreted?