2. In the above result, we say that operator x represents position and the operator in equation (5) represents momentum
Posted: Mon May 02, 2022 4:55 pm
2. In the above result, we say that operator x represents position and the operator in equation (5) represents momentum (in position space). All classical dynamical vari- ables can be expressed in terms of position and momentum. What we need now is a careful definition of the products of these operatos because the order in which they act is important. Using the definition of the operators in position space, (a) Calculate xp(x) (b) Calculate p.cv.) (c) Show that (px - xp)(x) = -ihy (2) The resulting operation relation in equation (8) is called the commutation relation and can be expressed as [p,x) = px - xp = -ih