Hydrogen atom at finitine temperature

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Gavroy
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hi

i asked myself, is it correct to use the ordinary partition function and cut it off at some value to describe the atom at some finite temperature? or is there a better way to do this calculation?

and if i evaluate the partition function for let me say n=2. does this mean, that the probability of finding the atom in the states 2s, 2px, 2py, 2pz is the same for each state or are there any differences?
 
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How is this classical physics?
 
well it is both: quantum mechanics and thermodynamics.

but i guess, the last one is the dominant part here...
 
Partition functions are not introduced in Thermodynamics.