翻訳と辞書 Words near each other ・ Euler's laws of motion ・ Euler's pump and turbine equation ・ Euler's rotation theorem ・ Euler's sum of powers conjecture ・ Euler's theorem ・ Euler's theorem (differential geometry) ・ Euler's theorem in geometry ・ Euler's three-body problem ・ Euler's totient function ・ Eulerian matroid ・ Eulerian number ・ Eulerian path ・ Eulerian poset ・ Euler–Bernoulli beam theory ・ Euler–Fokker genus ・ Euler–Heisenberg Lagrangian ・ Euler–Jacobi pseudoprime ・ Euler–Lagrange equation ・ Euler–Lotka equation ・ Euler–Maclaurin formula ・ Euler–Maruyama method ・ Euler–Mascheroni constant ・ Euler–Poisson–Darboux equation ・ Euler–Rodrigues formula ・ Euler–Tricomi equation ・ Euless Junior Stars ・ Euless, Texas ・ Euleucinodes ・ Eulgem ・ Eulia 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 Euler–Heisenberg Lagrangian ： ウィキペディア英語版 Euler–Heisenberg Lagrangian In physics, the Euler–Heisenberg Lagrangian describes the non-linear dynamics of electromagnetic fields in vacuum. It was first obtained by Werner Heisenberg and Hans Heinrich Euler〔W. Heisenberg and H. Euler, ''Folgerungen aus der Diracschen Theorie des Positrons'' Z. Phys. 98, 714 (1936).〕 in 1936. By treating the vacuum as a medium, it predicts rates of QED light interaction processes. == Physics == It takes into account vacuum polarization to one loop, and is valid for electromagnetic fields that change slowly compared to the inverse electron mass: :$\backslash mathcal\; =-\backslash mathcal\; -\backslash frac^\backslash fracs\backslash right)\backslash left(+\; i\backslash mathcal\backslash right)\}\backslash right)\}\; +\; i\backslash mathcal\backslash right)\}\backslash right)\}\backslash mathcal-\backslash frac(es)^\backslash mathcal\; -\; 1\backslash right)$ Here m is the electron mass, e the electron charge, $\backslash mathcal=\backslash frac\backslash left(\backslash mathbf^2\; -\; \backslash mathbf^2\backslash right)$, and $\backslash mathcal=\backslash mathbf\backslash cdot\backslash mathbf$. In the weak field limit, this becomes: $\backslash mathcal\; =\; \backslash frac\backslash left(\backslash mathbf^-\backslash mathbf^\backslash right)+\backslash frac\}\backslash left(-\; \backslash mathbf^2\backslash right)^\; +\; 7\; \backslash left(\backslash mathbf\backslash cdot\backslash mathbf\backslash right)^\backslash right)$ It describes photon-photon scattering in QED; Karplus and Neuman calculated the full amplitude,〔R. Karplus and M. Neuman, “The Scattering of Light by Light”, Phys. Rev. 83, 776 (1951).〕 which is very small and has not been seen. 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「Euler–Heisenberg Lagrangian」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.