Question

Two identical spin-1/2 fermions of mass M are confined in a cubic box of side L. The sides of the box have infinite potential. The identical fermions interact according to the attractive potential: r1,r2 where e is small and positive, and should be treated as a perturbation. Do not neglect the effects of spin degrees of freedom in this problem. [Hint: you may or may not find cos θ = (С" te- e)/2 and/or sint-(eia_ e-")/2i to be useful in doing an integral.] a) Find the total spin, the degeneracy, and the energy of the ground state, working to first order in €. b) What is the total spin and the degeneracy of the first excited state? If the potential is instead repulsive (K 0) what is the total spin and the degeneracy of the first excited state?

Please don't just copy from somewhere. Explain clearly, even though you can skip the math part.

Answer 1

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