Where did the operator come from?
For momentum, why is it different from just p ?
The operator is a function which, when acting on
in the probability integral, produces an expectation value for
that quantity In the Schrödinger representation.
The operator for x is just x , for
it is just
But for momentum we have to find a way to write p
in terms of x or t , so that we can do the integral
The trick we found was to note that
This then says that we can do the integral by equating
the momentum operator in the Schrödinger representation.