n.(电流)换向器，整流子，(马达)转换开关，转换器

The commutator of two group elements, \(a\) and \(b\), is defined as \(aba^{-1}b^{-1}\).
- 两个群元素\(a\)和\(b\)的交换子定义为\(aba^{-1}b^{-1}\)。
In quantum mechanics, the commutator of two operators \(A\) and \(B\), denoted \([A, B]\), is \(AB - BA\).
- 在量子力学中，两个算符\(A\)和\(B\)的交换子表示为\([A, B]\)，定义为\(AB - BA\)。
The commutator subgroup of a group is generated by all its commutators.
一个群的交换子群是由该群的所有交换子生成的。
For angular momentum operators, the commutator \([L_x, L_y]\) is equal to \(i\hbar L_z\).
- 对于角动量算符，\([L_x, L_y]\)的交换子等于\(i\hbar L_z\)。
In electronics, a commutator is a device used to reverse the direction of current in an electric motor.
在电子学中，换向器是一种用于改变电动机电流方向的装置。
The Lie bracket in differential geometry is essentially a generalization of the concept of a commutator from algebra.
微分几何中的李括号本质上是代数中交换子概念的一种泛化。
The commutator of two matrices \(A\) and \(B\), written as \([A, B] = AB - BA\), plays a crucial role in linear algebra.
两个矩阵\(A\)和\(B\)的交换子，写作\([A, B] = AB - BA\)，在线性代数中扮演着关键角色。
The non-commutativity of quaternions is demonstrated through their commutator, which does not vanish in general.
四元数的非交换性通过它们的交换子展示出来，一般情况下交换子不为零。
In group theory, if the commutator of every pair of elements is the identity, then the group is abelian.
在群论中，如果每对元素的交换子都是单位元，则该群是阿贝尔群。
The commutation relation between position and momentum operators in quantum mechanics forms the basis for Heisenberg's uncertainty principle.
量子力学中位置和动量算符之间的交换关系构成了海森堡不确定性原理的基础。