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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