The *Schrödinger equation* describes how a [[quantum state]] changes over time depending on the [[Hamiltonian Operator|energy function]] of the system (the Hamiltonian). Although the results of a single measurement cannot be predicted in quantum mechanics, the time evolution of the [[Wave Function|wave function]] can be predicted exactly. The Schödinger equation reads $i h \frac{d}{dt}\ket{\psi} = H \ket{\psi}$ Here, $i$ is the [[Complex Numbers| imaginary unit]], $h$ is the [[Planck's Constant]], $\ket{\psi}$ is the [[Quantum State|quantum state]] and $H$ is the [[Hamiltonian Operator|Hamiltonian operator]] that describes the energy of the system. The expression $\frac{d}{dt}\ket{\psi}$ describes the change of the [[Quantum State]] in a short period of time. Erwin Schrödinger received the Nobel Prize in Physics in 1933 for the discovery of the equation. >[!read]- Further Reading >- [[Wave Function]] >- [[Probability Distribution]] >- [[Quantum Mechanics]] >[!ref]- References > - E. Schrödinger, An Undulatory Theory of the Mechanics of Atoms and Molecules, Phys. Rev. **28**, 1049 (1926).