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Breit‐type three‐electron equation in the Pauli approximation
Author(s) -
Rai D. K.,
Ladik J.
Publication year - 1977
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560120513
Subject(s) - pauli exclusion principle , electron , physics , scalar (mathematics) , wave function , quantum electrodynamics , type (biology) , quantum mechanics , atomic physics , mathematical physics , mathematics , biology , ecology , geometry
We have reduced the Breit‐type equation written down for 3 electrons to the 8 large components of the wave function in the ( v / c ) 2 (Pauli) approximation. This procedure required appropriate handling of the 64 scalar equations which result in this instance. According to the results obtained within the accuracy of ( v / c ) 2 all the terms are the same as those obtained by summing up the terms of the reduced 2‐electron Breit's equation to 3 electrons. This statement is no longer valid, however, if during the reduction procedure we would go beyond the ( v / c ) 2 approximation. Finally there is a discussion about how to begin developing a relativistic many‐electron theory valid for the inner shell electrons of heavy atoms within the accuracy of the fine structure constant.