翻訳と辞書 Words near each other ・ Bosom of Abraham ・ Bosom of Abraham Trinity ・ Bosome Freho District ・ Bosome-Freho (Ghana parliament constituency) ・ Bosoms and Neglect ・ Bosomtwe (Ghana parliament constituency) ・ Bosomtwe District ・ Boson ・ Boson (disambiguation) ・ Boson Books ・ Boson de Talleyrand-Périgord ・ Bosondjo Airport ・ Bosonic field ・ Bosonic string theory ・ Bosonids ・ Bosonization ・ Bosoord ・ Bosor ・ Bososo ・ Bosoughan ・ Bosowice ・ Bosphorus ・ Bosphorus (disambiguation) ・ Bosphorus Airways ・ Bosphorus Art Project ・ Bosphorus Bridge ・ Bosphorus Cymbals ・ Bosphorus Express ・ Bosphorus Gaz Corporation ・ Bosphorus Rally 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 Bosonization ： ウィキペディア英語版 Bosonization In theoretical condensed matter physics, Bosonization is a mathematical procedure by which a system of interacting fermions in (1+1) dimensions can be transformed to a system of massless, non-interacting bosons. The method of bosonization was conceived independently by particle physicists Sidney Coleman and Stanley Mandelstam; and condensed matter physicists Daniel Mattis and Alan Luther in 1975.〔 The basic physical idea behind bosonization is that particle-hole excitations are bosonic in character. However, it was shown by Tomonaga in 1950 that this principle is only valid in one-dimensional systems. Bosonization is an effective field theory that focuses on low-energy excitations. This is done for Luttinger liquid theory. Two complex fermions $\backslash psi,\backslash bar\backslash psi$ are written as functions of a boson $\backslash phi$ :$\backslash bar\backslash psi\_-\backslash psi\_+\; =\; :\backslash exp(i\backslash phi):,\backslash qquad\; \backslash bar\backslash psi\_-\backslash psi\_+\; =\; :\backslash exp(-i\backslash phi):$〔 In actuality, there is a cocycle prefactor to give correct (anti-)commutation relations with other fields under consideration.〕 while the inverse map is given by :$\backslash partial\backslash phi=:\backslash bar\backslash psi\backslash psi:$ All equations are normal-ordered. The changed statistics arises from anomalous dimensions of the fields. == See Also == * Luttinger Liquid 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「Bosonization」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.