The Stone von Neumann theorem generalizes Stone's theorem to a " pair " of self-adjoint operators, ( P, Q ), satisfying the canonical commutation relation, and shows that these are all unitarily equivalent to the position operator and momentum operator on { L ^ { 2 } } ( \ mathbf { R } ).
32.
Holland pointed out that, while efforts have been made to determine a Hermitian position operator that would allow an interpretation of configuration space quantum field theory, in particular using the Newton Wigner localization approach, but that no connection with possibilities for an empirical determination of position in terms of a relativistic measurement theory or for a trajectory interpretation has so far been established.
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