How to antisymmetrize a wavefunction of two electrons?
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The ground state 1s2 does not exist in ortho-He (“parallel” spins) because the antisymmetric spatial wave function ψA(r1,r2) vanishes if electrons 1 and 2 have the same quantum numbers α= β = 1s. This is an example of Pauli's exclusion principle for Fermions, which forbids identical quantum numbers for both electrons.
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Ψ(x1,x2)=ψ1(x1)ψ2(x2)−ψ1(x2)ψ2(x1)Ψ(x1,x2)=ψ1(x1)ψ2(x2)−ψ1(x2)ψ2(x1)does the trick or the two fermions are not identical and you don't need to antisymmetrize.
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