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In mathematics, the quasi-commutative property is an extension or generalization of the general commutative property. This property is used in certain specific applications with various definitions. ==Applied to matrices== Two matrices ''p'' and ''q'' are said to have the commutative property whenever : The quasi-commutative property in matrices is defined〔Neal H. McCoy. (On quasi-commutative matrices. ''Transactions of the American Mathematical Society, 36''(2), 327–340 ).〕 as follows. Given two non-commutable matrices ''x'' and ''y'' : satisfy the quasi-commutative property whenever ''z'' satisfies the following properties: : : An example is found in the matrix mechanics introduced by Heisenberg as a version of quantum mechanics. In this mechanics, ''p'' and ''q'' are infinite matrices corresponding respectively to the momentum and position variables of a particle.〔 These matrices are written out at Matrix mechanics#Harmonic oscillator, and z = iħ times the infinite unit matrix, where ħ is the reduced Planck constant. 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「Quasi-commutative property」の詳細全文を読む スポンサード リンク
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