2. Ground state energy of the helium atom If we neglect interactions between electrons, the ground state energy of the h

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2 Ground State Energy Of The Helium Atom If We Neglect Interactions Between Electrons The Ground State Energy Of The H 1 (82.69 KiB) Viewed 54 times

2. Ground state energy of the helium atom If we neglect interactions between electrons, the ground state energy of the helium atom is E = -108.848eV while the experimentally measured value is -79.006eV. (a) Calculate the interaction energy < > supposing that both electrons are in the 1s state and that the spin wavefunction is anti-symmetric. What is the ground state energy? (b) The value obtained in (a) is a big improvement, but still several eV off. We can easily get a better value by using a variational method. Use = 01 (7)02(7), where 3/2 (F) = 1/( (4)* as a suggested ground state and express the expectation value of the ground state energy in terms of Z'. Provide the physical interpretation of the free parameter Z'. (c) Calculate Z' that minimizes the energy. What is the improved ground state energy?