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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 Luttinger–Kohn model ： ウィキペディア英語版 Luttinger–Kohn model A flavor of the k·p perturbation theory used for calculating the structure of multiple, degenerate electronic bands in bulk and quantum well semiconductors. The method is a generalization of the single band k.p theory. In this model the influence of all other bands is taken into account by using Löwdin's perturbation method.〔 〕 == Background == All bands can be subdivided into two classes (Figure 1): * Class A: six valence bands (heavy hole, light hole, split off band and their spin counterparts) and two conduction bands. * Class B: all other bands. The method concentrates on the bands in ''Class A'', and takes into account ''Class B'' bands perturbatively. We can write the perturbed solution $\backslash phi^\_$: :$\backslash phi\; =\; \backslash sum^\_\; a\_\; \backslash phi^\_$ Assuming the unperturbed eigenstates are orthonormalized, the eigenequation are: :$(E-H\_)a\_m\; =\; \backslash sum^\_H\_a\_\; +\; \backslash sum^\_H\_a\_$, where :$H\_\; =\; \backslash int\; \backslash phi^\_\; H\; \backslash phi^\_d^3\; \backslash mathbf\; =\; E^\_\backslash delta\_+H^\_$. From this expression we can write: :$a\_\; =\; \backslash sum^\_\; \backslash frac\}\; a\_\; +\; \backslash sum^\_\; \backslash frac\}\; a\_$, where the first sum on the right-hand side is over the states in class A only, while the second sum is over the states on class B. Since we are interested in the coefficients $a\_$ for ''m'' in class A, we may eliminate those in class B by an iteration procedure to obtain: :$a\_\; =\; \backslash sum^\_\; \backslash frac\; -\; H\_\}$, :$U^\_\; =\; H\_\; +\; \backslash sum^\_\; \backslash frac\}\; \backslash fracH\_\; \})\}\; +\; \backslash ldots$ Equivalently, for $a\_$ ($n\; \backslash in\; A$): :$a\_\; =\; \backslash sum^\_\; (U^\_\; -\; E\backslash delta\_)a\_\; =\; 0,\; m\; \backslash in\; A$ and :$a\_\; =\; \backslash sum^\_\; \backslash frac\; -\; H\_\backslash delta\_\}\; =\; 0,\; \backslash gamma\; \backslash in\; B$. When the coefficients $a\_$ belonging to Class A are determined so are $a\_$. 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「Luttinger–Kohn 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.