Who first solved the hydrogen atom in quantum mechanics?

[wdlang]

is it pauli or Schrödinger?

is there any original reference?

 

[tom.stoer]

afaik it was Pauli; he studied the operator algebra of the Hydrogen atom which can be mapped to an SO(4) algebra generated by the angular momentum and the Lenz-Runge operator, from which the spectrum can be derived exactly; however this does not include the solution fort the wave functions

1926, Zeitschrift für Physik, volume 36, page 336

 

[genericusrnme]

I second Pauli, I remember reading a collection of papers from the beginnings of QM and iirc Pauli did it first.

 

[niklaus]

Schrödinger did it in 1926 too, his paper was received January 27. E. Schrödinger: „Quantisierung als Eigenwertproblem I“, Annalen der Physik 79 (1926).

 

[tom.stoer]

For Pauli I find "1926, Zeitschrift für Physik, volume 36, page 336-363" with the remark "Abgeschlossen [completed] I am Oktober 1925"

 

[dextercioby]

It was Pauli, but it doesn't really matter, because the two methods could not have been any more different. It's just like the case of the <Einstein field equations> of GR which were first published by David Hilbert, but the derivation method was different than the method of Einstein.

So the issue of <who was first> is really not that important.