翻訳と辞書 Words near each other ・ Rabi Abdullah ・ Rabi Council of Leaders ・ Rabi crop ・ Rabi cycle ・ Rabi Elia ・ Rabi frequency ・ Rabi Ghosh ・ Rabi ibn Sabih ・ Rabi ibn Sabra ・ Rabi Island ・ Rabi Kinagi ・ Rabi Kounga oil field ・ Rabi Lamichhane ・ Rabi Maharaj ・ Rabi Peerzada ・ Rabi problem ・ Rabi Ray ・ Rabi resonance method ・ Rabi' al-Abrar ・ Rabi' al-awwal ・ Rabi' al-thani ・ Rabi'a ・ Rabi'a ibn Ahmad ibn Tulun ・ Rabi'ah ibn al-Harith ・ Rabi, Panchthar ・ Rabi-ollah Kabiri ・ Rabi`ah ・ Rabia ・ Rabia Ashiq ・ Rabia Bala Hatun 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 Rabi problem ： ウィキペディア英語版 Rabi problem The Rabi problem concerns the response of an atom to an applied harmonic electric field, with an applied frequency very close to the atom's natural frequency. It provides a simple and generally solvable example of light-atom interactions. == Classical Rabi Problem == In the classical approach, the Rabi problem can be represented by the solution to the driven, damped harmonic oscillator with the electric part of the Lorentz force as the driving term: :$\backslash ddot\_a\; +\; \backslash frac\backslash dot\_a\; +\; \backslash omega\_a^2\; x\_a\; =\; \backslash frac\; E(t,\backslash mathbf\_a)$, where it has been assumed that the atom can be treated as a charged particle (of charge ''e'') oscillating about its equilibrium position around a neutral atom. Here, ''xa'' is its instantaneous magnitude of oscillation, $\backslash omega\_a$ its natural oscillation frequency, and $\backslash tau\_0$ its natural lifetime: :$\backslash frac\; =\; \backslash frac$, which has been calculated based on the dipole oscillator's energy loss from electromagnetic radiation. To apply this to the Rabi problem, one assumes that the electric field ''E'' is oscillatory in time and constant in space: : :$\backslash kappa\; \backslash \; \backslash stackrel\backslash \; \backslash frac$ These equations can be solved as follows: :$u(t;\backslash delta)\; =\; (\backslash cos\; \backslash delta\; t\; -\; v\_0\; \backslash sin\; \backslash delta\; t)e^\; +\; \backslash kappa\; E\_0\; \backslash int\_0^t\; dt\text{'}\; \backslash sin\; \backslash delta(t-t\text{'})e^$ :$v(t;\backslash delta)\; =\; (\backslash cos\; \backslash delta\; t\; +\; v\_0\; \backslash sin\; \backslash delta\; t)e^\; -\; \backslash kappa\; E\_0\; \backslash int\_0^t\; dt\text{'}\; \backslash cos\; \backslash delta(t-t\text{'})e^$ After all transients have died away, the steady state solution takes the simple form, :$x\_a(t)\; =\; \backslash frac\; E\_0\; \backslash left(\backslash frac\; +\; \backslash mathrm\backslash right)$ where "c.c." stands for the complex conjugate of the opposing term. 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「Rabi problem」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.