Acta Phys. -Chim. Sin. ›› 2009, Vol. 25 ›› Issue (06): 1093-1096.doi: 10.3866/PKU.WHXB20090618

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Calculation of He Atom Ground-State Energy Using Double Generalized Laguerre Polynomial in the Weakest Bound Electron Potential Model Theory

ZHENG Neng-Wu, ZHANG Tian-Yi   

  1. Department of Chemistry, University of Science and Technology of China, Hefei 230026, P. R. China
  • Received:2009-01-09 Revised:2009-03-12 Published:2009-06-05
  • Contact: ZHANG Tian-Yi E-mail:nwzheng@ustc.edu.cn

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Abstract:

We calculated the He atom ground-state energy using a double generalized Laguerre polynomial in the weakest bound electron potential model (WBEPM) theory. An expression for the expectation value of the He atom ground-state energy was derived.We obtained minimumvalues for the He atomground-state energy (Emin). A comparison was made to the results from the Hartree-Fock (HF) method using a double zeta function. Our result was slightly better than the result obtained using a double zeta function in the HF method. We thus show that the linear combination technique can easily be used in WBEPM theory.

Key words: WBEPM theory, He atomground-state energy, Linear combination