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===In quantum physics===
{{further|Quantum field theory}}This equation, called [[Schrödinger equation|Schrödinger's equation]], describes the behavior of an isolated or closed quantum system, that is, by definition, a system which does not interchange information (i.e. energy and/or matter) with another system. So if an isolated system is in some pure state |ψ(t) ∈ H at time t, where H denotes the Hilbert space of the system, the time evolution of this state (between two consecutive measurements).<ref>{{Cite book |last=Rivas |first=Ángel |title=Open Quantum Systems |
<math display="block">i\hbar \frac{\partial}{\partial t} \Psi(\mathbf{r}, t) = \hat{H} \Psi(\mathbf{r}, t) </math>
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