In a multi-particle system, the total state is defined by the tensor product of the individual states. Why is it the case that operators, say position of 2 particles, is of the form X⊗I + I⊗Y and not X⊗Y where I are the identities for the respective spaces and X and Y are the position operators of the spaces. Why is it the sum of the two and not the tensor product of the two?(adsbygoogle = window.adsbygoogle || []).push({});

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# Tensor Products of Operator

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