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- Newton–Wigner localization (named after Theodore Duddell Newton and Eugene Wigner) is a scheme for obtaining a position operator for massive relativistic quantum particles. It is known to largely conflict with the Reeh–Schlieder theorem outside of a very limited scope. The Newton–Wigner position operators x1, x2, x3, are the premier notion of positionin relativistic quantum mechanics of a single particle. They enjoy the same commutation relations with the 3 space momentum operators and transform underrotations in the same way as the x, y, z in ordinary QM. Though formally they have the same properties with respect to p1, p2, p3, asthe position in ordinary QM, they have additional properties: One of these is that This ensures that the free particle moves at the expected velocity with the given momentum/energy. Apparently these notions were discovered when attempting to define a self adjoint operator in the relativistic setting that resembled the position operator in basic quantum mechanics in the sense that at low momenta it approximately agreed with that operator. It also has several famous strange behaviors, one ofwhich is seen as the motivation for having to introduce quantum field theory. (en)
- En théorie quantique relativiste, l'opérateur de position de Newton-Wigner est un opérateur de position introduit en 1949 par Théodore Dudell Newton et Eugene Wigner pour tenter de décrire la position de particules massives relativistes de spin arbitraire. (fr)
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- En théorie quantique relativiste, l'opérateur de position de Newton-Wigner est un opérateur de position introduit en 1949 par Théodore Dudell Newton et Eugene Wigner pour tenter de décrire la position de particules massives relativistes de spin arbitraire. (fr)
- Newton–Wigner localization (named after Theodore Duddell Newton and Eugene Wigner) is a scheme for obtaining a position operator for massive relativistic quantum particles. It is known to largely conflict with the Reeh–Schlieder theorem outside of a very limited scope. This ensures that the free particle moves at the expected velocity with the given momentum/energy. (en)
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- Opérateur de position de Newton-Wigner (fr)
- Newton–Wigner localization (en)
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