A measurement addressing a spatial mode can prepare an opposite-spin product in the mode description without violating fermionic antisymmetry. For orthogonal orbitals , the conditional mode state with spin up in and spin down in corresponds to the antisymmetric particle-coordinate state . Exchange of mode spin factors is different from full exchange of the identical particles. Only the latter must remain antisymmetric.

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  1. Indistinguishable particles
  2. Particle exchange operator
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