Operator Transformation

#Physics

$\displaystyle \braket{ \psi|\hat{Q}' | \psi}=\braket{ \psi' | \hat{Q}|\psi' }$

• How a transformation is defined

$\displaystyle \hat{Q}'= \hat{T}^{\dagger}\hat{Q}\hat{T}$

• $\displaystyle \hat{Q}'$ refers to the transformed operator
• $\displaystyle \hat{T}$ is some transformation operator