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Fermions are particles with an intrinsic angular momentum (i.e. spin) equal to a "half integer" number of fundamental units: $\frac{(2n+1)}{2} \hbar$ for integer $n$. Fermions are required to be in a quantum state that is globally anti-symmetric, which leads to the Pauli Exclusion Principle barring identical fermions from occupying the same quantum state.

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A fixed number of fermions on a line

I am trying to work out a simple 1-D lattice model of non interacting fermions. … Is this the correct way to solve for a fixed number of fermions on a lattice ? Or am I missing something here ? …
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Few particle fermion system wavefuction

Suppose I have 3 fermions($\left|\psi_1\right\rangle$, $\left|\psi_2\right\rangle$, $\left|\psi_3\right\rangle$) and a system with 3 states ( $\left|1\right\rangle$, $\left|2\right\rangle$, $\left|3\right … In general is it possible to prepare particle wave functions of a system of fermions to make sure that the total wave function of the system admits only certain configurations of the states? …
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