An antisymmetrizer is a mathematical operator used in the context of quantum mechanics and, more broadly, in fields that involve the study of particles with half-integer spins (fermions). In these contexts, the antisymmetrizer is used to construct wave functions that adhere to the Pauli exclusion principle, which states that two identical fermions cannot occupy the same quantum state. The antisymmetrizer acts on a product of state vectors, transforming them into an antisymmetrized state.

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