# What is the conjugate variable of angular momentum?

We know that for Heisenberg uncertainty principle, position and momentum are conjugates, energy and time are conjugates. Like wise what is the conjugate variable for angular momentum? Is it orientation along with something? Or anything else?

P.Q:-Another observation, the unit of Angular momentum already is kg*m^2/s, which is supposed to be the unit of uncertainty. So the conjugate variable must be unit less

In the same way that the conjugate of linear momentum is position ($x$), the conjugate of angular momentum is "angular position", a.k.a. orientation. You can find a list of other conjugate pairs here.