Exercise 1: Variational Principle [7 points] Use the variational principle to determine the upper bound to the ground-st

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Exercise 1 Variational Principle 7 Points Use The Variational Principle To Determine The Upper Bound To The Ground St 1 (28.08 KiB) Viewed 12 times

Exercise 1: Variational Principle [7 points] Use the variational principle to determine the upper bound to the ground-state energy of a generic atom with two electrons and Zo protons. Take into account both the electron- electron repulsion as well as the nuclear screening. [4 points] Use this general result to find the energy of (a) H: [1 point] (b) He; [1 point] (c) Lit. [1 point] Hint: The generic ground-state wave function of a non-interacting two-electron system subject to the Coulomb potential from Z protons is: V(r1,72) 100 (1)100 (2) = Z³ -Z(ri+r₂)/a παρ