ON THE RELATIVISTIC ATOMIC HAMILTONIANReport as inadecuate




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Abstract : The relativistic hamiltonian for a multi-electron atom is studied to make explicit the assumptions and approximations which enter into it. This will allow corrections to the approximations to be made as needed within the framework provided by the assumptions. The basic assumptions are the validity of quantum electrodynamics and the accuracy of using effective potentials to reduce quantum electrodynamics to hamiltonian form. The ambiguities of the potential obtained for the first order interaction are discussed. Another source of difficulty is in the precise definition of the position variables to be used for internal interactions and for interactions with external fields. Using these results a hamiltonian could be constructed for nuclei with a particular spin. Instead the nuclear motion is approximated non-relativistically allowing a phenomenological description of the nuclear moments which is valid for all spins





Author: H. Wadzinski

Source: https://hal.archives-ouvertes.fr/



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