Pauli exclusion principle

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The quantum mechanical principle, formulated by Pauli, that no two identical fermions may occupy the same quantum state.

Fermions of the same species form totally antisymmetric states. In the two-particle case:

|ψψ′> = - |ψ′ψ>

If both particles occupy the quantum state |ψ>, the state of the entire system is |ψψ>. Then

|ψψ> = - |ψψ> = |0>

so such a state does not occur. This is readily generalizable to the case of more than two particles.

The Pauli exclusion principle is the reason you do not fall through the floor.