Ground States of Helium Atom and Hydrogen Negative Ion in the Presence of Magnetic Field Using Variational Monte Carlo Technique

S.B. Domaa, M O. Shakerb, a M. Faragb and F.N. El-Gammalc aMathematics Department, Faculty of Science, Alexandria University, Alexandria, Egypt bMathematics Department, Faculty of Science, Tanta University, Tanta, Egypt cMathematics Department, Faculty of Science, Menofia University, Shebin El-Kom, Egypt

Received: January 29, 2014; in final form June 15, 2014

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Using variational Monte Carlo method, we calculated the 11 0+ state energies, the derivatives of the total energy and the ionisation energies of the helium atom, and hydrogen negative ion in the presence of magnetic field regime between 0 a.u. and 10 a.u. Our calculations are based on using two types of compact and accurate trial wave functions used before to calculate energies in the absence of magnetic field. Our results are in good agreement with the most recent previous accurate values and also with the exact values.

DOI: 10.12693/APhysPolA.126.700 PACS numbers: 31.10.+z, 31.15.-p, 31.15.V-, 31.15.xt