翻訳と辞書 Words near each other ・ Sceale Bay Conservation Park ・ Sceale Bay, South Australia ・ Scearctia ・ Sceat ・ Sceau-Saint-Angel ・ Sceautres ・ Sceaux ・ Sceaux, Hauts-de-Seine ・ Sceaux, Yonne ・ Sceaux-d'Anjou ・ Sceaux-du-Gâtinais ・ Sceaux-sur-Huisne ・ SCEC ・ SCECGS Redlands ・ Scattering ・ Scattering amplitude ・ Scattering channel ・ Scattering Dad ・ Scattering from rough surfaces ・ Scattering length ・ Scattering parameters ・ Scattering rate ・ Scattering Stars Like Dust ・ Scattering theory ・ Scattering-matrix method ・ Scatterlings ・ Scatternet ・ Scatterometer ・ Scatterplot smoothing ・ Scattershot 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 Scattering amplitude ： ウィキペディア英語版 Scattering amplitude In quantum physics, the scattering amplitude is the amplitude of the outgoing spherical wave relative to the incoming plane wave in a stationary-state scattering process.〔(Quantum Mechanics: Concepts and Applications By Nouredine Zettili, 2nd edition, page 623. ISBN 978-0-470-02679-3 Paperback 688 pages January 2009, ©2008 )〕 The latter is described by the wavefunction :$$ \psi(\mathbf) = e^ + f(\theta)\frac \;, where $\backslash mathbf\backslash equiv(x,y,z)$ is the position vector; $r\backslash equiv|\backslash mathbf|$; $e^$ is the incoming plane wave with the wavenumber $k$ along the $z$ axis; $e^/r$ is the outgoing spherical wave; $\backslash theta$ is the scattering angle; and $f(\backslash theta)$ is the scattering amplitude. The dimension of the scattering amplitude is length. The scattering amplitude is a probability amplitude and the differential cross-section as a function of scattering angle is given as its modulus squared :$$ \frac = |f(\theta)|^2 \;. In the low-energy regime the scattering amplitude is determined by the scattering length. == Partial wave expansion == (詳細はMichael Fowler/ 1/17/08 Plane Waves and Partial Waves )〕 :$f=\backslash sum\_^\backslash infty\; (2\backslash ell+1)\; f\_\backslash ell\; P\_\backslash ell(\backslash cos\; \backslash theta)$, where is the partial scattering amplitude and are the Legendre polynomials. The partial amplitude can be expressed via the partial wave S-matrix element ($=e^$) and the scattering phase shift as :$f\_\backslash ell\; =\; \backslash frac\; =\; \backslash frac\; =\; \backslash frac\; =\; \backslash frac\; \backslash ;.$ Then the differential cross section is given by :$\backslash frac\; =\; |f(\backslash theta)|^2\; =\; \backslash frac\; \backslash left|\; \backslash sum\_^\backslash infty\; (2\backslash ell+1)\; e^\; \backslash sin\; \backslash delta\_\backslash ell\; P\_\backslash ell(\backslash cos\; \backslash theta)\; \backslash right|^2$, and the total elastic cross section becomes :$\backslash sigma\; =\; 2\; \backslash pi\; \backslash int\_0^\backslash pi\; \backslash frac\; \backslash sin\; \backslash theta\; \backslash ,\; d\; \backslash theta\; =\; \backslash frac\; \backslash operatorname\; f(0)$, where is the imaginary part of . 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「Scattering amplitude」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.