- #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.