Recent content by htkhs

Fantastic... It seems to be a well-known problem in some community. I'll dig into there papers. Cheers

Oh thanks a lot for the info! I will look into that book.

If you apply Dirac's theory to the hydrogen atom, you get an exact solution with an exact eigen energy. Everything is fine. You don't get those individual perturbative terms like the spin-orbit term, Darwin term etc. On the other hand my interest is on the validity of the non-relativistic...

Thanks a lot for the comments. I agree that we must be careful when we take limits. But I wonder whether the limit you are talking about is of right kind, fzero. You take a limit in the region of the radial integration. However, as you say, the angular momentum part has nothing to do with it...

In standard QM textbooks, when calculating the spin-orbit interaction term as a relativistic perturbation for hydrogenic atoms, it is said that the term gives 0 contribution for the s-orbitals (l = 0). This is apparently because the term has the form of S*L and L=0 for the s-orbitals. However...