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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 Light-cone coordinates ： ウィキペディア英語版 Light-cone coordinates In special relativity, light-cone coordinates is a special coordinate system where two of the coordinates, x+ and x− are null coordinates and all the other coordinates are spatial. Call them $x\_\backslash perp$. Assume we're working with a (d,1) Lorentzian signature. Instead of the standard coordinate system (using Einstein notation) :$ds^2=-dt^2+\backslash delta\_dx^i\; dx^j$, with $i,j=1,\backslash dots,d$ we have :$ds^2=-2dx^+dx^-\; +\; \backslash delta\_dx^i\; dx^j$ with $i,j=1,\backslash dots,d-1$, $x^+=\backslash fracx^+$, $x^-\; \backslash to\; e^x^-$, $x^i\; \backslash to\; x^i$. A rotation in the ij-plane only affects $x\_\backslash perp$. The parabolic transformations show up as $x^+\; \backslash to\; x^+$, $x^-\; \backslash to\; x^-\; +\; \backslash delta\_\backslash alpha^i\; x^j\; +\; \backslash frac\; x^+$, $x^i\; \backslash to\; x^i\; +\; \backslash alpha^i\; x^+$. Another set of parabolic transformations show up as $x^+\; \backslash to\; x^+\; +\; \backslash delta\_\backslash alpha^i\; x^j\; +\; \backslash frac\; x^-$, $x^-\; \backslash to\; x^-$ and $x^i\; \backslash to\; x^i\; +\; \backslash alpha^i\; x^-$. Light cone coordinates can also be generalized to curved spacetime in general relativity. Sometimes, calculations simplify using light cone coordinates. See Newman–Penrose formalism. Light cone coordinates are sometimes used to describe relativistic collisions, especially if the relative velocity is very close to the speed of light. It's also used in the light cone gauge of string theory. == See also == * Newman–Penrose formalism 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「Light-cone coordinates」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.