Time-evolution Operator

#Physics

$\displaystyle \hat{U}(t)\Psi(x,0)=\Psi(x,t)$

• $\displaystyle \hat{U}(t)$ is the time-evolution operator here

$\displaystyle \hat{U}(t)=\exp\left( -\frac{it}{\hbar}\hat{H} \right)$