- #1
patric44
- 296
- 39
- Homework Statement
- i am trying to proof the generalized uncertainty principle , and i am stuck at some point
- Relevant Equations
- (ΔC)^2 = <φ|A^2|φ>
hi guys
i am trying to follow a proof of the generalized uncertainty principle and i am stuck at the last step :
i am not sure why he put these relations in (4.20) :
$$(\Delta\;C)^{2} = \bra{\psi}A^{2}\ket{\psi}$$
$$(\Delta\;D)^{2} = \bra{\psi}B^{2}\ket{\psi}$$
i tried to prove these using the difination of the expectation value and had no success! any help will be appreciated, thanks.
i am trying to follow a proof of the generalized uncertainty principle and i am stuck at the last step :
i am not sure why he put these relations in (4.20) :
$$(\Delta\;C)^{2} = \bra{\psi}A^{2}\ket{\psi}$$
$$(\Delta\;D)^{2} = \bra{\psi}B^{2}\ket{\psi}$$
i tried to prove these using the difination of the expectation value and had no success! any help will be appreciated, thanks.