Abstract
Feynman diagrammatic technique was used for the calculation of Hartree-Fock and correlation energies, relativistic corrections, dipole matrix element. The whole energy of atomic system was defined as a polen-electron Green function. Breit operator was used for the calculation of relativistic corrections. The Feynman diagrammatic technique was developed for 〈HB>. Analytical expressions for the contributions from diagrams were received. The calculations were carried out for the terms of such configurations as 1s2 2sn1 2pn2 (2 ≧n1≧ 0, 6≧ n2 ≧ 0). Numerical results are presented for the energies of the terms in the form
and for fine structure of the terms in the form
Dipole matrix elements are necessary for calculations of oscillator strengths and transition probabilities. For dipole matrix elements two members of expansion by 1/Z have been obtained. Numerical results were presented in the form P(a,a′) = a/Z(1+τ/Z).
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Safronova, U.I., Bolotin, A.B. An expansion of Hartree-Fock and correlation energies, relativistic corrections and the dipole matrix element in the powers of of 1/Z. Czech J Phys 27, 7–16 (1977). https://doi.org/10.1007/BF01587480
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DOI: https://doi.org/10.1007/BF01587480