Published January 1, 2009 | Version v1
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Ground state energy of He isoelectronic sequence treated variationally via Hylleraas-like wavefunction

  • 1. Dokuz Eylul Univ, Dept Phys, TR-35160 Buca Izmir, Turkey

Description

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 r(12) 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.

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