Lorentz Invariant Localized States

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Abstract
Newton and Wigner have previously discussed the definition of "localized states" in terms of invariance conditions. However, their localization conditions are not Lorentz covariant. The present work presents a modified set of invariance postulates which includes a Lorentz invariance condition. It is shown that for spinless systems there do exist states satisfying the modified set of postulates; these states are calculated explicitly. The procedure appears to preclude the existence of Lorentz covariant "position operators."

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