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

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 minimum values for the He atom ground-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.