Abstract
An analysis is made of the poles of the single-particle Green's function of helium-like ions in which electron correlation is taken into account on the basis of the model of singly filled orbitals. The energy of Hartree-Fock pole calculated through the use of the hydrogen-like wave functions for the orbitals turns out to be approximately equal to the exact value. The second pole, which corresponds to a different hole state, has a residue which vanishes as z increases and must be considered fortuitous.
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E. I. Cheglokov and V. M. Zelichenko, Izv. VUZ. Fiz., No. 11, 62 (1969).
P. O. Löwdin, Phys. Rev.,97, 1509 (1955).
H. Shull and P. O. Löwdin, J Chem. Phys.,25, 1035 (1956).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 90–93, April, 1971.
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Cheglokov, E.I., Zelichenko, V.M. Hole states in helium-like ions. Soviet Physics Journal 14, 496–498 (1971). https://doi.org/10.1007/BF00817979
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DOI: https://doi.org/10.1007/BF00817979