Definition:Schrödinger's Equation/Time Independent

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


$\psi$ 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 reduced constant:
$\hbar = \dfrac h {2 \pi}$

Also known as

Schrödinger's equation can be seen referred to as Schrödinger's wave equation by some authors.

Also see

  • Results about Schrödinger's equation can be found here.

Source of Name

This entry was named for Erwin Rudolf Josef Alexander Schrödinger.