Definition:Schrödinger's Equation/Time Independent

Definition

 * $-\dfrac {\hbar^2} {2 m} \nabla^2 \psi + V \psi = E \psi$

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 $2 \pi$:
 * $\hbar = \dfrac h {2 \pi}$