The so-called Heisenberg picture of quantum mechanics absorbs the time dependence into the operator, keeping the basis fixed. The Schrödinger picture, on the other hand, keeps the operator fixed in time but changes the basis. This can be written

(1)

where is h-bar, is the time-dependent wavefunction, and is the Hamiltonian operator. Solving for gives

(2)

where

(3)

Quantum Mechanics, Schrödinger Picture