- #1
tomwilliam2
- 117
- 2
Homework Statement
Confirm explicitly that ##\frac{1}{2m}\langle \hat{p}_x \Psi | \hat{p}_x \Psi \rangle## cannot be negative.
Homework Equations
##-i\hbar \frac{\partial}{\partial x} = \hat{p}_x##
The Attempt at a Solution
i seem to get:
##\frac{1}{2m}\langle \hat{p}_x \Psi | \hat{p}_x \Psi \rangle=\frac{\hbar^2}{2m}\left ( \frac{\partial \Psi}{\partial x}\frac{\partial \Psi}{\partial x}\right )##
This seems ok to me...am I right in thinking that because one of the momentum operators is in the BRA, then it has to be quantum conjugated and becomes ##i\hbar\frac{\partial}{\partial x} = \hat{p}_x^*##?