I am familiar with the usual solution of the hydrogen atom using the associated legendre functions and spherical harmonics, but my question is: is it possible to extend the hamiltonian of the hydrogen atom to naturally encompass half integer spin?(adsbygoogle = window.adsbygoogle || []).push({});

My guess is that spin only pops in naturally in relativistic quantum mechanics, but since my knowledge on the subject is limited I am not sure how to proceed with the argument and would appreciate some references with more complete discussions.

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# I Extended hamiltonian operator for the Hydrogen atom

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