Variational monte carlo study of the three-body atomic system

الملخص EN

Using variational Monte Carlo method we have calculated the ground state energies of the lithium atom and its ions up to Z=10.

Our calculations are based on using a modified three parameters trial wave function which leads to good results comparing with the few parameters trial wave functions presented before.

We have applied a new technique to optimize the three variational parameters.

This technique depends on using the steepest descent method in order to obtain accurate values of the energies and to get good quality results.

This technique was firstly investigated for the helium atom and leads to good results.

Our calculations give good estimations for the ground state energy of the lithium atom and its ions comparing with the corresponding exact data