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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 Generating function (physics) ： ウィキペディア英語版 Generating function (physics) Generating functions which arise in Hamiltonian mechanics are quite different from generating functions in mathematics. In physics, a generating function is, loosely, a function whose partial derivatives generate the differential equations that determine a system's dynamics. Common examples are the partition function of statistical mechanics, the Hamiltonian, and the function which acts as a bridge between two sets of canonical variables when performing a canonical transformation. ==In Canonical Transformations== There are four basic generating functions, summarized by the following table: \,\! and $P\; =\; -\; \backslash frac\; \backslash ,\backslash !$ |- |$F=\; F\_2(q,\; P,\; t)\; =\; F\_1\; -\; QP\; \backslash ,\backslash !$ |$p\; =\; ~~\backslash frac\; \backslash ,\backslash !$ and $Q\; =\; ~~\backslash frac\; \backslash ,\backslash !$ |- |$F=\; F\_3(p,\; Q,\; t)\; =F\_1\; +\; qp\; \backslash ,\backslash !$ |$q\; =\; -\; \backslash frac\; \backslash ,\backslash !$ and $P\; =\; -\; \backslash frac\; \backslash ,\backslash !$ |- |$F=\; F\_4(p,\; P,\; t)\; =F\_1\; +\; qp\; -\; QP\; \backslash ,\backslash !$ |$q\; =\; -\; \backslash frac\; \backslash ,\backslash !$ and $Q\; =\; ~~\backslash frac\; \backslash ,\backslash !$ |} 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「Generating function (physics)」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.