Antisymmetric wavefunctions for more than two particles

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quasar_4
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I am having trouble understanding how a wavefunction for three or more particles can be totally antisymmetric. Does this just mean that the sign stays the same for even permutations of the indices, while the sign changes for odd permutations (i.e., is it just antisymmetric like a rank three tensor)?
 

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yes, you can google "slater determinant"
 

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