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 …

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).

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 …

The commutator [X, Y] of two matrices is defined by the equation $$\begin {align} [X, Y] = XY − YX. \end {align}$$ Two anti-commuting matrices A and B satisfy $$\begin {align} A^2=I \qu...

Commutator of $x$ and $p^2$ Ask Question Asked 12 years, 1 month ago Modified 8 years, 5 months ago

The function of a commutator. The commutator ring of an electric motor reverses the direction of current flowing through the coil every time the coil barely reaches the vertical position during a …

So here's a sense in which the commutator subgroup and the center are "dual": the commutator is the subgroup generated by all values of $\mathbf {w} (x,y)$, and the center is the subgroup of …

Oct 7, 2012 · These are supposed to be quantum mechanics operators. Well, I was hoping to show algebraically that [A,B] must necessarily be something like a constant.

@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.

What does the commutator $ [\hat p, \vec c\cdot\hat r]$ mean? I see that you can expand the second term such that the commutator becomes $ [\hat p, c_xr_x+c_yr_y+c_zr_z]$ but then …