Time-dependent perturbation theory question not a hard one

bojibridge
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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...
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
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