jsc314159
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Homework Statement
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+
Homework Equations
|<n'l'm'|nlm>|^2
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 d\theta returns 0. Is there an easier way to see this other than going through the calculations?
How is this result interpreted?
Thanks,
jsc