Momentum operator

\overset{p}{^} = - i ℏ \frac{\partial}{\partial x}

In three dimensions In position representation, we define it by using the gradient, and so we see that

\overset{p}{^} = - i ℏ \frac{\partial}{\partial x}

Video 11. Position and Momentum from Wavefunctions by Faculty of Khan (2018) Source. Proves in detail why the momentum operator is

\frac{\partial}{\partial x}

. The starting point is determining the time derivative of the expectation value of the position operator.

Ancestors