. Calculate the commutator of fraud {3 in position space. (Hill 1': they're operators, so it's useful to have something to operate on; use a "test functiun\" f(x).) . Show that the positionmomentum uncertainty principle is Amp 2 g . For the energy eigenstates 95,1(1') of the innite square well, calculate (x), {p}, Ax, and Ap. Show that the uncertainty principle holds for all slates