Application of variational Monte Carlo method to the confined helium atom

Authors

• Salah B Doma ¹
• Fatma N El-Gammal ²

1. Mathematics Department, Faculty of Science, Alexandria University
2. Mathematics Department, Faculty of Science, Menoufiya University

Abstract

AbstractA new application of variational Monte Carlo method is presented to study the helium atom under the compression effect of a spherical box with radius (rc). The ground-state energies of the helium atom were calculated for different values of rc. Our calculations were extended to include Li+ and Be2+ ions. The calculations were based on the use of a compact accurate trial wave function with five variational parameters. To optimize variational parameters, we used the steepest descent method. The obtained results are in good agreement with previous results.

Keywords