翻訳と辞書 Words near each other ・ Hamiltonian (quantum mechanics) ・ Hamiltonian coloring ・ Hamiltonian completion ・ Hamiltonian constraint ・ Hamiltonian constraint of LQG ・ Hamiltonian economic program ・ Hamiltonian field theory ・ Hamiltonian fluid mechanics ・ Hamiltonian lattice gauge theory ・ Hamiltonian matrix ・ Hamiltonian mechanics ・ Hamiltonian optics ・ Hamiltonian path ・ Hamiltonian path problem ・ Hamiltonian spite ・ Hamiltonian system ・ Hamiltonian vector field ・ Hamiltonsbawn ・ Hamiltonstövare ・ Hamilton–Brantford–Cambridge Trails ・ Hamilton–Jacobi equation ・ Hamilton–Jacobi–Bellman equation ・ Hamilton–Jacobi–Einstein equation ・ Hamilton–Norwood scale ・ Hamilton–Reynolds sex scandal ・ Hamilton–Scourge survey expedition ・ Hamilton—Wentworth (provincial electoral district) ・ Hamim Samuri ・ Hamin Ahmed ・ Hamin Milligan 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 Hamiltonian system ： ウィキペディア英語版 Hamiltonian system A Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system such as a planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory. == Overview == Informally, a Hamiltonian system is a mathematical formalism developed by Hamilton to describe the evolution equations of a physical system. The advantage of this description is that it gives important insight about the dynamics, even if the initial value problem cannot be solved analytically. One example is the planetary movement of three bodies: even if there is no simple solution to the general problem, Poincaré showed for the first time that it exhibits deterministic chaos. Formally, a Hamiltonian system is a dynamical system completely described by the scalar function $H(\backslash boldsymbol,\backslash boldsymbol,t)$, the Hamiltonian. The state of the system, $\backslash boldsymbol$, is described by the generalized coordinates 'momentum' $\backslash boldsymbol$ and 'position' $\backslash boldsymbol$ where both $\backslash boldsymbol$ and $\backslash boldsymbol$ are vectors with the same dimension N. So, the system is completely described by the 2N dimensional vector :$\backslash boldsymbol\; =\; (\backslash boldsymbol,\backslash boldsymbol)$ and the evolution equation is given by the Hamilton's equations: :$\backslash begin$ & \frac = -\frac} = +\frac . The trajectory $\backslash boldsymbol(t)$ is the solution of the initial value problem defined by the Hamilton's equations and the initial condition $\backslash boldsymbol(0)\; =\; \backslash boldsymbol\_0\backslash in\backslash mathbb^$. 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「Hamiltonian system」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.