Determinants | Pauli exclusion principle | Permutations

Antisymmetrizer

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 exclusion principle. Since is a projection operator, application of the antisymmetrizer to a wave function that is already totally antisymmetric has no effect, acting as the identity operator. (Wikipedia).

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Related pages

Permutation | Slater determinant | Character theory | Representation theory | Symmetric group | Pauli exclusion principle | Fermion | Unitary operator | Spin (physics) | Coset | Leibniz formula for determinants | Transposition (mathematics) | Laplace expansion | Identical particles