Category:Schrödinger's Equation

This category contains results about Schrödinger's Equation.
Definitions specific to this category can be found in Definitions/Schrödinger's Equation.

Time Independent Version

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

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 reduced constant:

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