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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 Magnetic translation ： ウィキペディア英語版 Magnetic translation Magnetic translations are naturally defined operators acting on wave function on a two-dimensional particle in a magnetic field. According to,〔Z.Ezawa. ''Quantum Hall Effect'', 2nd ed, World Scientific. Chapter 28〕 the motion of an electron in a magnetic field on a plane is described by the following four variables: guiding center coordinates $(X,Y)$ and the relative coordinates $(R\_x,R\_y)$. The guiding center coordinates are independent of the relative coordinates and, when quantized, satisfy $()=-i\; \backslash ell\_B^2$, where $\backslash ell\_B=\backslash sqrt$, which makes them mathematically similar to the position and momentum operators $Q\; =q$ and $P=-i\backslash hbar\; \backslash frac$ in one-dimensional quantum mechanics. Much like acting on a wave function $f(q)$ of a one-dimensional quantum particle by the operators $e^$ and $e^$ generate the shift of momentum or position of the particle, for the quantum particle in 2D in magnetic field one considers the magnetic translation operators $e^,$ for any pair of numbers $(p\_x,\; p\_y)$. The magnetic translation operators corresponding to two different pairs $(p\_x,p\_y)$ and $(p\text{'}\_x,p\text{'}\_y)$ do not commute. ==References== 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「Magnetic translation」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.