Applications of the Variational Monte Carlo Method to the Ground States of the Lithium Atom and its Ions up to Z = 10 in the Presence of Magnetic Field

TL;DR

This paper applies the variational Monte Carlo method to compute the ground state energies of lithium and its ions up to Z=10 under magnetic fields, using refined trial wave functions, achieving results consistent with recent accurate data.

Contribution

It introduces the application of the variational Monte Carlo method with new trial wave functions to ions in magnetic fields, extending previous calculations to higher Z values.

Findings

Results agree well with recent accurate values.

Method effectively handles magnetic field effects.

Extends calculations to ions up to Z=10.

Abstract

The variational Monte Carlo method is applied to investigate the ground state energy of the lithium atom and its ions up to Z=10 in the presence of an external magnetic field regime with {\gamma}=0 ~ 100 a.u. Our calculations are based on using three forms of compact and accurate trial wave functions, which were put forward in calculating energies in the absence of magnetic field. The obtained results are in good agreement with the most recent accurate values and also with the exact values.