## Quick Reference

An equation used in wave mechanics (see quantum mechanics) for the wave function of a particle. The time-independent Schrödinger equation is:∇^{2}ψ+8π^{2}*m*(*E* – *U*)ψ/*h*^{2}=0, where ψ is the wave function, ∇^{2} the Laplace operator, *h* the Planck constant, *m* the particle's mass, *E* its total energy, and *U* its potential energy. It can also be written as:*H*ψ=*E*ψ, where *H* is the Hamiltonian operator. It was devised by Erwin Schrödinger, who was mainly responsible for wave mechanics.

∇^{2}ψ+8π^{2}*m*(*E* – *U*)ψ/*h*^{2}=0

*H*ψ=*E*ψ

*Subjects:*
Chemistry — Physics.