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| {{Expert-subject|Physics|date=February 2009}}
| | Oscar is what my wife enjoys to contact me and I completely dig that name. Years in the past we moved to North Dakota. My day occupation is a librarian. To gather badges is what her family members and her appreciate.<br><br>Stop by my web blog - [http://glskating.com/groups/stay-yeast-infection-free-with-these-helpful-suggestions/ at home std testing] |
| '''Newton–Wigner localization''' (named after Theodore Duddell Newton and [[Eugene Wigner]]) is a scheme for obtaining a [[position operator]] for massive [[theory of relativity|relativistic]] [[quantum particle]]s. It is known to largely conflict with the [[Reeh-Schlieder theorem]] outside of a very limited scope.
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| The Newton–Wigner position operators x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub>, are the premier notion of position
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| in relativistic quantum mechanics of a single particle. They enjoy the same
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| commutation relations with the 3 space momentum operators and transform under
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| rotations in the same way as the x, y, z in ordinary [[Quantum mechanics|QM]]. Though formally they have the same properties with respect to
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| p<sub>1</sub>, p<sub>2</sub>, p<sub>3</sub>, as
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| the position in ordinary QM, they have additional properties. One of these is that
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| <math> [x_i \, , p_0 ] = p_i/p_0 </math>
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| 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
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| position operator in basic Quantum mechanics in the sense that at low momenta it
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| approximately agreed with that operator. It also has several famous strange behaviors, one of
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| which is seen as the motivation for having to introduce quantum field theory.
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| ==References==
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| {{reflist}}
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| *[[Maurice Henry Lecorney Pryce|M.H.L. Pryce]], ''Proc. Roy. Soc.'' 195A, 62 (1948)
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| *T.D. Newton and E.P. Wigner, ''Rev. Mod. Phys.'' 21, 400 (1949)
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| *[http://philsci-archive.pitt.edu/98/1/segal.pdf Academic paper: ''Newton–Wigner localization in relation to Reeh-Schlieder theorem'']
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| {{DEFAULTSORT:Newton-Wigner localization}}
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| [[Category:Quantum field theory]]
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| {{physics-stub}}
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Oscar is what my wife enjoys to contact me and I completely dig that name. Years in the past we moved to North Dakota. My day occupation is a librarian. To gather badges is what her family members and her appreciate.
Stop by my web blog - at home std testing