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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Fermi–Walker transport ： ウィキペディア英語版 Fermi–Walker transport Fermi–Walker transport is a process in general relativity used to define a coordinate system or reference frame such that all curvature in the frame is due to the presence of mass/energy density and not to arbitrary spin or rotation of the frame. ==Fermi–Walker differentiation== In the theory of Lorentzian manifolds, Fermi–Walker differentiation is a generalization of covariant differentiation. In general relativity, Fermi–Walker derivatives of the spacelike unit vector fields in a frame field, taken with respect to the timelike unit vector field in the frame field, are used to define non-inertial but nonspinning frames, by stipulating that the Fermi–Walker derivatives should vanish. In the special case of inertial frames, the Fermi–Walker derivatives reduce to covariant derivatives. This is defined for a vector field ''X'' along a curve $\backslash gamma(s)$: :$\backslash frac=\backslash frac\; -\; (X,\backslash frac)\; V\; +\; (X,V)\backslash frac,$ where ''V'' is four-velocity, ''D'' is the covariant derivative in the Riemannian space, and ''(,)'' is scalar product. If :$\backslash frac=0,$ the vector field ''X'' is Fermi–Walker transported along the curve (see Hawking and Ellis, p. 80). Vectors perpendicular to the space of four-velocities in Minkowski spacetime, e.g., polarization vectors, under Fermi–Walker transport experience Thomas precession. Using the Fermi derivative, the Bargmann–Michel–Telegdi equation〔V. Bargmann, L. Michel, and V. L. Telegdi, ''Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field'', Phys. Rev. Lett. 2, 435 (1959).〕 for spin precession of electron in an external electromagnetic field can be written as follows: :$\backslash frac\; =\; 2\backslash mu\; (F^\; -\; u^\; u\_\; F^)a\_,$ where $a^$ and $\backslash mu$ are polarization four-vector and magnetic moment, $u^$ is four-velocity of electron, $a^a\_\; =\; -u^u\_\; =\; -1$, $u^\; a\_=0$, and $F^$ is electromagnetic field-strength tensor. The right side describes Larmor precession. 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「Fermi–Walker transport」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.