翻訳と辞書 Words near each other ・ Pauliström ・ Paulists ・ Paulistânia ・ Paulita Sedgwick ・ Paulito (footballer) ・ Paulito FG ・ Paulius ・ Paulius Andrijauskas ・ Paulius Galaunė ・ Paulius Grybauskas ・ Paulius Jankūnas ・ Paulius Juodis ・ Paulius Jurkus ・ Paulius Paknys ・ Paulius Viktoravičius ・ Pauli–Lubanski pseudovector ・ Pauli–Villars regularization ・ Paull ・ Paull (disambiguation) ・ Paull Holme Tower ・ Paull Shin ・ Paulla Dove Jennings ・ Paullelujah! ・ Paullicorticium ・ Paullin ・ Paullina Simons ・ Paullina, Iowa ・ Paullinia ・ Paullinia navicularis ・ Paullinia pinnata Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Pauli–Lubanski pseudovector ： ウィキペディア英語版 Pauli–Lubanski pseudovector In physics, specifically in relativistic quantum mechanics and quantum field theory, the Pauli–Lubanski pseudovector named after Wolfgang Pauli and Józef Lubański〔; 〕 is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description of angular momentum. It describes the spin states of moving particles.〔 pp 180-181.〕 It is the generator of the little group of the Lorentz group, that is the maximal subgroup (with four generators) leaving the eigenvalues of the four-momentum vector invariant. ==Definition== It is usually denoted by (or less often by ) and defined by: ~ \tfrac\varepsilon_ J^ P^\sigma , |cellpadding= 6 |border |border colour = #0073CF |bgcolor=#F9FFF7}} where : *$\backslash varepsilon\_$ is the four-dimensional totally antisymmetric Levi-Civita symbol : *$J^$ is the relativistic angular momentum tensor operator : *$P^$ is the four-momentum. In the language of exterior algebra, it can be written as the Hodge dual of a trivector, :$\backslash mathbf\; =\; \backslash star(\backslash mathbf\backslash wedge\backslash mathbf).$ evidently satisfies :$P^W\_=0,$ as well as the following commutator relations, :$\backslash left()=0,$ : The scalar is a Lorentz-invariant operator, and commutes with the four-momentum, and can thus serve as a label for irreducible representations of the Lorentz group. That is, it can serve as the label for the spin, a feature of the spacetime structure of the representation, over and above the relativistically invariant label for the mass of all states in a representation. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pauli–Lubanski pseudovector」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.