I would like to calculate the intensities of Hydrogen spectral lines for the case of Hydrogene at temperature T contained inside a volume V.(adsbygoogle = window.adsbygoogle || []).push({});

I reckon that what I need is

1)The mean population of the upper energy level

2)The probability of transition between the levels

I believe that the mean population of a quantum state will be given by Bose statistics, so that of an energy level will be the same multiplied by the degeneracy of the energy level.

For the transition probabilities I have no clue. When we deal with atoms subjected to a field those are usually calculated by perturbation theory, for which one needs a perturbative Hamiltonian. I have no clue how to arrive at the latter here. Nor do I think that the influence of the whole surrounding would be small enough to be a perturbation.

Help is really appreciated!

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# Intensity of Hydrogen spectral line

Can you offer guidance or do you also need help?

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