How to make relativistic correction to perturbation?

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zhanhai
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I want to know about relativistic correction to perturbation.

I searched but failed to find any teaching on this topic. Is it true that we just need to replace the non-relativistic Hamiltonian perturbation terms with the relativistic ones while leaving the perturbation formulae unchanged?

Thank for all reply and comments.

Regards,
 
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What calculation do you have on mind?