The Slater determinant is introduced in Exercise 42. Show that if states n and n' of the infinite well are occupied and both spins are up, the Slater determinant yields the antisymmetric multiparticle state:
Ψn (x1) ↑ Ψn(x2) ↑ - Ψn (x1) ↑ Ψn(x2)
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