翻訳と辞書 Words near each other ・ Canonic Trio Sonata in F major, BWV 1040 ・ Canonic Variations on "Vom Himmel hoch da komm' ich her" ・ Canonica d'Adda ・ Canonical ・ Canonical (company) ・ Canonical account ・ Canonical Acts ・ Canonical admonitions ・ Canonical age ・ Canonical analysis ・ Canonical basis ・ Canonical Book of the Tang Dynasty ・ Canonical bundle ・ Canonical commutation relation ・ Canonical connection ・ Canonical coordinates ・ Canonical coronation ・ Canonical correlation ・ Canonical correspondence analysis ・ Canonical cover ・ Canonical criticism ・ Canonical domain ・ Canonical election ・ Canonical ensemble ・ Canonical erection of a house of religious ・ Canonical faculties ・ Canonical form ・ Canonical hours ・ Canonical Huffman code ・ Canonical impediment 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 Canonical coordinates ： ウィキペディア英語版 Canonical coordinates In mathematics and classical mechanics, canonical coordinates are sets of coordinates which can be used to describe a physical system at any given point in time (locating the system within phase space). Canonical coordinates are used in the Hamiltonian formulation of classical mechanics. A closely related concept also appears in quantum mechanics; see the Stone–von Neumann theorem and canonical commutation relations for details. As Hamiltonian mechanics is generalized by symplectic geometry and canonical transformations are generalized by contact transformations, so the 19th century definition of canonical coordinates in classical mechanics may be generalized to a more abstract 20th century definition of coordinates on the cotangent bundle of a manifold. ==Definition, in classical mechanics== In classical mechanics, canonical coordinates are coordinates $q\_i\backslash ,$ and $p\_i\backslash ,$ in phase space that are used in the Hamiltonian formalism. The canonical coordinates satisfy the fundamental Poisson bracket relations: :$\backslash \; =\; 0\; \backslash qquad\; \backslash \; =\; 0\; \backslash qquad\; \backslash \; =\; \backslash delta\_$ A typical example of canonical coordinates is for $q\_i$ to be the usual Cartesian coordinates, and $p\_i$ to be the components of momentum. Hence in general, the $p\_i$ coordinates are referred to as "conjugate momenta." Canonical coordinates can be obtained from the generalized coordinates of the Lagrangian formalism by a Legendre transformation, or from another set of canonical coordinates by a canonical transformation. 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「Canonical coordinates」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.