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Simple proof of the symmetrization postulate in quantum mechanics
Yoel Tikochinsky, Dan Shalitin
Source abstract
With the assumption that n complete single-particle measurements αi uniquely determine the n-identical-particle state ‖α1,α2,...,αn〉, the wavefunction ψ(α1,α2,...,αn) =〈α1,α2,...,αn‖ψ〉 is shown to be either symmetric or antisymmetric under any permutation of its arguments.
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