Abstract
Ground States of Helium Atom and Hydrogen Negative Ion in the Presence of Magnetic Field Using Variational Monte Carlo Technique S.B. Doma, M O. Shaker, a M. Farag and F.N. El-Gammal Mathematics Department, Faculty of Science, Alexandria University, Alexandria, Egypt Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt Mathematics Department, Faculty of Science, Meno a University, Shebin El-Kom, Egypt (Received January 29, 2014; in nal form June 15, 2014) Using variational Monte Carlo method, we calculated the 10 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 eld 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 eld. 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
Published Version
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