Pauli Exclusion Principle
There are two ways of making the wavefunction reflect the indistinguishability of the two electrons:
?sym = [Xa(r1)*Xb(r2) + Xb(r1)*Xa(r2) ]* T(t)
?anti = [Xa(r1)*Xb(r2) - Xb(r1)*Xa(r2) ]* T(t) .
[We don’t have to worry about ? being negative, since the probability (which must be positive) depends on ?2 .]