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Consider now three (3) particles with spin S = 1/2 and spin states |+,|, that can occupy two orbital states a and b with energies

Consider now three (3) particles with spin S = 1/2 and spin states |+,|, that can occupy two orbital states a and b with energies Ea and Eb, with Ea < Eb. (a) Construct the Slater Determinant corresponding to the possible ground states of the three particle system. What is the energy of the ground state and its degeneracy? (b) Show that your answer for the previous step can be written as

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