@CreeepyJoe - see, this is how physicists say that fermions live in antisymmetrized tensor products of vector spaces.
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What are the chis?
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This holds for N>0 fermion systems
End of conversation
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Is the prefactor (1/√N!) due to the fact that fermions are indistinguishable or it is just a normalizing constant?
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It’s kind of both.. but it’s okay to regard it as just a normalization constant
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Gives the wave function Ψ of a multi-fermion system