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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 Lieb–Liniger model ： ウィキペディア英語版 Lieb–Liniger model The Lieb–Liniger model describes a gas of particles moving in one dimension and satisfying Bose–Einstein statistics. ==Introduction== A model of a gas of particles moving in one dimension and satisfying Bose–Einstein statistics was introduced in 1963 〔Elliott H. Lieb and Werner Liniger, ''Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State'', Physical Review 130: 1605–1616, 1963〕〔Elliott H. Lieb, ''Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum'', Physical Review 130:1616–1624,1963〕 in order to study whether the available approximate theories of such gases, specifically Bogolubov's theory, would conform to the actual properties of the model gas. The model is based on a well defined Schrödinger Hamiltonian for particles interacting with each other via a two-body potential, and all the eigenfunctions and eigenvalues of this Hamiltonian can, in principle, be calculated exactly. Sometimes it is called one dimensional Bose gas with delta interaction. It also can be considered as quantum non-linear Schroedinger equation. The ground state as well as the low-lying excited states were computed and found to be in agreement with Bogolubov's theory when the potential is small, except for the fact that there are actually two types of elementary excitations instead of one, as predicted by Bogolubov's and other theories. The model seemed to be only of academic interest until, with the sophisticated experimental techniques developed in the first decade of the 21st century, it became possible to produce this kind of gas using real atoms as particles. 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「Lieb–Liniger 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.