Antisymmetrizer

In quantum mechanics, an antisymmetrizer $\mathcal{A}$ (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 $\mathcal{A}$ the wave function satisfies the Pauli principle. Since $\mathcal{A}$ 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.

单词	Antisymmetrizer
释义	Antisymmetrizer 英语百科 Antisymmetrizer In quantum mechanics, an antisymmetrizer $\mathcal{A}$ (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 $\mathcal{A}$ the wave function satisfies the Pauli principle. Since $\mathcal{A}$ 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.
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