Abstract In this study, the energy for the ground state of helium and a few helium-like ions (Z=1--6) is computed variationally by using a Hylleraas-like wavefunction. A four-parameters wavefunction, satisfying boundary conditions for coalescence points, is combined with a Hylleraas-like basis set which explicitly incorporates r12 interelectronic distance. The main contribution of this work is the introduction of modified correlation terms leading to the definition of integral transforms which provide the calculation of expectation value of energy to be done analytically over single-particle coordinates instead of Hylleraas coordinates.
Received: 31 July 2008
Revised: 05 September 2008
Accepted manuscript online:
(Theory of electronic structure, electronic transitions, and chemical binding)
Fund: Project
supported by the Cumhuriyet University National MOVPE Crystal Growth
and Characterization Laboratory, DPT-K 120, TUBITAK (Grant Nos TBAG
105T492, TBAG 107T012,
and TBAG-108T015).
Cite this article:
Serpil Şakiroĝlu, Kadir Akgüngör, and ìsmail Sökmen Ground state energy of He isoelectronic sequence treated variationally via Hylleraas-like wavefunction 2009 Chin. Phys. B 18 2238
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