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**1. Consider 2 free electrons, with single-particle wavefunctions e**

a) Construct the antisymmetric 2-electron wavefunction of net spin zero.

b) Construct the antisymmetric 2-electron wavefunction of net spin 1. Assume that both spins are up.

^{ip1*r1}|+/-> and e^{ip2*r2}|+/->.a) Construct the antisymmetric 2-electron wavefunction of net spin zero.

b) Construct the antisymmetric 2-electron wavefunction of net spin 1. Assume that both spins are up.

**[tex]\Psi[/tex](r**

_{1},r_{2})=[tex]\psi[/tex]_{a}(r_{1})[tex]\psi[/tex]_{b}(r_{2})-[tex]\psi[/tex]_{b}(r_{1})[tex]\psi[/tex]_{a}(r_{2})I am just confused about what happens when you exchange the indices. Does the momentum switch as well? because if so, then part A works out, but then it seems like the actual wavefunction is changing as well when you swap the indices, so the articles are swapping, and the wavefunctions are swapping, which doesn't make sense. Because I thought you had to preserve the physical configuration of the system, and you are just switching the labels of the particles.