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Schrödinger Equation

Describes the time evolution of a quantum mechanical system. \hat{H}\|\\Psi\rangle = i\hbar\frac{\partial}{\partial t}\|\\Psi\rangle$, where \hat{H} is the Hamiltonian operator.
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The statement of the theorem

Let Ψ(r,t)\Psi(\mathbf{r}, t) be the time-dependent wavefunction of a quantum system, and H^\hat{H} be the Hamiltonian operator. The evolution of Ψ\Psi is governed by the equation:\nH^Ψ(r,t)=iℏ∂∂tΨ(r,t)\hat{H}\Psi(\mathbf{r}, t) = i\hbar\frac{\partial}{\partial t}\Psi(\mathbf{r}, t)
Source: Wikipedia