High Quality Content by WIKIPEDIA articles! In quantum mechanics, an antisymmetrizer (also known as antisymmetrizing operator ) is a linear operator that makes a wave function of N identical fermions antisymmetric under the exchange of the coordinates of any pair of fermions. After application of the wave function satisfies the Pauli principle. Since is a projection operator, application of the antisymmetrizer to a wave function that is already totally antisymmetric has no effect, is then equal to the identity operator.