An interpretation of the Heisenberg uncertainty principle is that the operator for linear mo- mentum in the x-direction does not commute with the operator for position along the x-axis. If x=-ih a ax and x = x (where h = h/2л is a constant and i = √-1) represent operators for linear momentum and position along the x-axis, evaluate the commutator [pxx - xpx] and show that it does not equal zero. (Hint: Apply the operators and px to an arbitrary function (x), keeping in mind that xo(x) must be differentiated as a product.)

An interpretation of the Heisenberg uncertainty principle is that the operator for linear mo- mentum in the x-direction does not commute with the operator for position along the x-axis. If x=-ih a ax and x = x (where h = h/2л is a constant and i = √-1) represent operators for linear momentum and position along the x-axis, evaluate the commutator [pxx - xpx] and show that it does not equal zero. (Hint: Apply the operators and px to an arbitrary function (x), keeping in mind that xo(x) must be differentiated as a product.)