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Abstract The variational Monte Carlo method is applied to calculate the ground state energy eigenvalues and Eigen functions of the beryllium atom. The obtained wave functions are used to calculate the mean distance of the electrons from the nucleus and the mean distance between the electrons. In the computations which have been carried out, we used trial wave functions in the form of the Slater determinant function multiplied by a correlation function corresponding to the interactions between the electrons. Two different kinds of orbital functions are used in the computations. Also, two different types of correlation functions are used in the calculations. Good results are obtained for the ground state energy eigenvalues and radii in comparison with the exact values and previous findings. |