Energy levels for the Hydrogen Atom

ClubDogo
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Hello everybody.
As you surely know, the Schodinger treatment of the Hydrogen Atom gives wrong eigenvalues for the Spectrum. The Dirac equation provides for a correct one. On the other hand, the first who found the correct expression for the levels was "mighty" Sommerfeld using a mixture of relativity, schrodinger equation and other stuff. The question is: is there any reference for the correct calculus done as Sommerfeld did?
I solved the problem with Dirac equation but I'm curious to notice how Sommerfeld reached the same result...

Thankz
 
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Not exactly the same result, a close one, he couldn't have taken account on the presence of spin for the electron, so he basically provided a relativistic theory of 2 charges attracting by means of a Coulomb electrostatic interaction and moving in closed elliptic orbits.
 
So?

Ok... but could you write down a reference?
I'm interested in seeing this thing.
 
I haven't found anything on the internet. I'll look it up in some books.
 

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