What is a Commutator? Commutators are used in DC machines (DC motors and DC generators) universal motors. In a motor, a commutator applies an electric current to the windings. A steady …

The second way is to look at the commutator subgroup as a measure of how noncommutative a group is. A group is commutative if it has a trivial commutator subgroup (and highly noncommutative if the …

Jun 30, 2015 · The commutator of a group and a commutator of a ring, though similar, are fundamentally different, as you say. In each case, however, the commutator measures the "extent" to which two …

The commutator [X, Y] of two matrices is defined by the equation

I'm trying to find the condition necessary for this commutator relationship equality: $$[A,B^2]=2B[A,B]$$ So far I've done this: \\begin{align*} [A,B^2] & = B[A,B ...

The commutator subgroup is generated by commutators. Show that the property of "being a commutator" is invariant under conjuation (in fact it is invariant under all automorphisms).

Science Advanced Physics Advanced Physics questions and answers 4. Commutators Sy, Sy Using the matrix representations of Sx, Sy, and Sz (e.g. McIntyre 2.38), Calculate the commutators of the spin …

Jan 23, 2020 · 1 Writing in more details, the commutator relation is [p, x] = −iℏI [p, x] = i ℏ I where I I is the identity operator. So piℏ p i ℏ should be understood as piℏI p i ℏ I, the composition of the two …

@NizarHalloun: Terminology issue: A "commutator" is an element of a group. You are talking about the "commutator subgroup," which is the subgroup generated by commutators.

The calculations (13)- (14), a rather long-winded, grungy-but-you-might-as-well-see-the-whole-mess-at-least-once lot, may in fact be considerably streamlined if one adopts certain standard identities which …