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Momentum space approach to the relativistic atomic structure calculations
Author(s) -
Baretty Reinaldo,
Ishikawa Yasuyuki,
Nieves Jose F.
Publication year - 1986
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.560300713
Subject(s) - physics , hamiltonian (control theory) , position and momentum space , space (punctuation) , momentum (technical analysis) , energy–momentum relation , electron , hydrogen like atom , simple (philosophy) , basis (linear algebra) , classical mechanics , quantum electrodynamics , quantum mechanics , mathematical physics , angular momentum , total angular momentum quantum number , angular momentum coupling , mathematics , geometry , philosophy , finance , economics , epistemology , mathematical optimization , linguistics
A simple and straightforward derivation of the relativistic “no‐pair” equation in momentum space is given for hydrogenic species. This is achieved by starting with a QED Hamiltonian in momentum representation and making a rigorous reduction into a system that contains a single electron but no positrons. The integral equation was solved for a series of hydrogenic systems using the Kwon–Tabakin–Lande technique. Numerical results were compared with those recently obtained by Hess, who employed the basis set expansion technique to solve the no‐pair equation in configuration space.