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4. Consider the following trial function for the ground state of the He atom: -a[r32 +r22) 0 = e In this function, a is a

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4. Consider the following trial function for the ground state of the He atom: -a[r32 +r22) 0 = e In this function, a is a variational parameter. (a) Write down the complete expression for determining the trial energy in a variational calculation. Be sure to indicate the volume element, integration limits, and the Hamiltonian. (b) What is the optimum value of a and the resulting optimum energy

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