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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 Majumdar–Ghosh model ： ウィキペディア英語版 Majumdar–Ghosh model The Majumdar–Ghosh model is an extension of the one-dimensional quantum Heisenberg spin model in which an extra interaction is added coupling spins two lattice spacings apart such that second-neighbor coupling half as strong the first. It is therefore a special case of the J1 J2 model. The model is named after Indian physicists Chanchal Kumar Majumdar and Dipan Ghosh. The Majumdar–Ghosh model is notable because its ground states (lowest energy quantum states) can be found exactly and written in a simple form, making it a useful starting point for understanding more complex spin models and phases. ==Definition== The Majumdar–Ghosh model is defined by the following Hamiltonian: :$\backslash hat\; H\; =\; J\; \backslash sum\_^\; \backslash vec\_j\; \backslash cdot\; \backslash vec\_\; +\; \backslash frac\; \backslash sum\_^\; \backslash vec\_j\; \backslash cdot\backslash vec\_$ where the S vector is a quantum spin operator with quantum number ''S'' = 1/2. Other conventions for the coefficients may be taken in the literature, but the most important fact is that the ratio of first-neighbor to second-neighbor couplings is 2 to 1. 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「Majumdar–Ghosh model」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.