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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 Scattering rate ： ウィキペディア英語版 Scattering rate ==The interaction picture== Define the unperturbed Hamiltonian by $H\_0$, the time dependent perturbing Hamiltonian by $H\_1$ and total Hamiltonian by $H$. The eigenstates of the unperturbed Hamiltonian are assumed to be :$H=H\_0+H\_1\backslash$ :$H\_0\; |k\backslash rang\; =\; E(k)|k\backslash rang$ In the interaction picture, the state ket is defined by :$|k(t)\backslash rang\; \_I=\; e^\; |k(t)\backslash rang\_S=\; \backslash sum\_\; c\_(t)\; |k\text{'}\backslash rang$ By a Schrödinger equation, we see :$i\backslash hbar\; \backslash frac\; |k(t)\backslash rang\_I=H\_|k(t)\backslash rang\_I$ which is a Schrödinger-like equation with the total $H$ replaced by $H\_$. Solving the differential equation, we can find the coefficient of n-state. :$c\_(t)\; =\backslash delta\_\; -\; \backslash frac\; \backslash int\_0^t\; dt\text{'}\; \backslash ;\backslash lang\; k\text{'}|H\_1(t\text{'})|k\backslash rang\; \backslash ,\; e^$ where, the zeroth-order term and first-order term are :$c\_^=\backslash delta\_$ :$c\_^=-\; \backslash frac\; \backslash int\_0^t\; dt\text{'}\; \backslash ;\backslash lang\; k\text{'}|H\_1(t\text{'})|k\backslash rang\; \backslash ,\; e^$ 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 rate」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.