\begin{definition}[Definition:Schrödinger Wave Equation/Time Independent]
:$-\dfrac {\hbar^2} {2 m} \nabla^2 \psi + V \psi = E \psi$
where:
:$\psi$ is the wave function whose nature is to be determined
:$V$ denotes the potential energy (usually positional)
:$E$ denotes the total energy of the system
:$m$ denotes the mass of the particle whose motion is described by $\psi$
:$\hbar$ is Planck's constant divided by $2 \pi$: 
::$\hbar = \dfrac h {2 \pi}$
{{NamedforDef|Erwin Rudolf Josef Alexander Schrödinger|cat = Schrödinger}}
\end{definition}