Slater determinant yields ψ n ( x 1 ) ↑ ψ n ' ( x 1 ) ↓ − ψ n ( x 2 ) ↑ ψ n ' ( x 2 ) ↓ if states n and n ' are occupied with particles being spin up and spin down in the states respectively.

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Chapter 8, Problem 44E

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To Show:Slater determinant yields ψn(x1)↑ ψn'(x1)↓−ψn(x2)↑ ψn'(x2)↓ if states n and n' are occupied with particles being spin up and spin down in the states respectively.

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