Time-dependent perturbation theory question not a hard one

AI Thread Summary
The discussion centers on a homework problem involving a hydrogen atom in a time-dependent electric field and the probability of transitioning from the ground state to the 2p state as time approaches infinity. The original poster seeks clarification on whether the 2p state refers to |2 0 0> or |2 1 0>, ultimately leaning towards the latter. It is confirmed that for electric dipole transitions, the orbital angular momentum quantum number l must change by one, making the transition to the 2p state valid. The conversation highlights the importance of understanding quantum state notation and transition rules in time-dependent perturbation theory. Overall, the focus is on clarifying the specifics of the transition states involved.
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Homework Statement



A hydrogen atom is placed in a uniform electric field E(t) given by E(t) = Enaught*exp(-a*t) (where a is a constant) for t >0.

The atom is initially in the ground state. What is the probability that, as
t→∞ , the atom makes a transition to the 2p state?

I know how to do this problem in general, but I'm just curious if by 2p state it means |2 0 0> or |2 1 0>...I want to go with the former, but is that what others would do? Or is it even going to matter?

Thanks so much!
 
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2s would mean n=2, l=0; 2p means n=2, l=1. If I recall correctly, the electric dipole transition ends up requiring l to change by 1.
 
Ah, yes, of course! Thank you! I'd lose my head if it wasn't attached...
 
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