2019•Unpublished venueRequires access
Calculation of Ground State Energy of Helium using Hylleraas Trial Function Expansion
Sri Purwaningsih, Pekik Nurwantoro, Arief Hermanto
Open publisher page 3 citations
Abstract
Energy calculation of helium ground state has been done
using the variational method. In this study the trial wave
function of helium has been proposed which has included non
linear parameters α and β. This wave function is a
modification of the Hylleraas trial function. The trial wave
function of helium is used to calculate helium ground state
energy by varying the series so that the number of
terms is 12, 15, 18, 20, 24, 30, 36, 40, 48 terms.By using the
Powell method to perform functional minimization of the
expectation value equation, the minimum energy obtained is
the helium ground state energy whcih is -2.901501710650829
a.u. The value of variational parameters from the results of
optimization is also obtained, which is non linear parameters α
and β.
Keywords:Helium, Hylleraas Function, Variational Method.