Time-dependent and time-independent Schrödinger equations:
\[i\hbar\dfrac{\partial}{\partial t} \Psi(x,t) = - \dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x,t)}{\partial x^2} + V(x,t)\Psi(x,t)\qquad\text{(time-dependent)}\]
\[-\dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x)}{\partial x^2}+V(x)\Psi(x)=E\Psi(x)\qquad\text{(time-independent)}\]

#SchrödingerEquation #Schrödinger #WaveEquation #TimeDependent #TimeIndependent