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单词 Commutation relations
释义

Commutation relations

中文百科

交换子 Canonical commutation relation

(重定向自Commutation relations)

在抽象代数中,一个群的交换子(commutator)或换位子是一个二元运算子。设gh 是 群G中的元素,他们的交换子g h gh,常记为[ g, h ]。只有当gh符合交换律(即gh = hg)时他们的交换子才是这个群的单比特。

一个群G的全部交换子生成的子群叫做群G的导群,记作D(G)

英语百科

Canonical commutation relation 对易关系

(重定向自Commutation relations)

In quantum mechanics (physics), the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related by definition such that one is the Fourier transform of another). For example,

between the position operator x and momentum operator px in the x direction of a point particle in one dimension, where [x , px] = x pxpx x is the commutator of x and px, i is the imaginary unit, and is the reduced Planck's constant h/2π . In general, position and momentum are vectors of operators and their commutation relation between different components of position and momentum can be expressed as

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更新时间:2025/6/17 0:26:36