Solution
= Solution
For identical <fermions> the full <wave function> is antisymmetric:
$$
\boxed{\psi(x_2,x_1)=-\psi(x_1,x_2).}
$$
In particular it vanishes when the two complete one-particle arguments coincide. Applying this to the position-only model assumes that no independent <spin> symmetry changes the required spatial <parity>.