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| {{Expert-subject|Physics|date=February 2009}}
| | Hello and welcome. My title is Figures Wunder. Puerto Rico is exactly where he's been residing for years and he will never move. To gather badges is what her family and her appreciate. Bookkeeping is her working day occupation now.<br><br>Here is my page ... [http://www.reachoutsociety.info/user/JCondon www.reachoutsociety.info] |
| '''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> | |
| 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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Hello and welcome. My title is Figures Wunder. Puerto Rico is exactly where he's been residing for years and he will never move. To gather badges is what her family and her appreciate. Bookkeeping is her working day occupation now.
Here is my page ... www.reachoutsociety.info