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

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