# Metadata Source URL:: https://en.wikipedia.org/wiki/Quantum_harmonic_oscillator Topics:: #physic --- # Quantum harmonic oscillator - Wikipedia ## Highlights > [!quote]+ Updated on 270822_084325 > > The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary smooth potential can usually be approximated as a harmonic potential at the vicinity of a stable equilibrium point, it is one of the most important model systems in quantum mechanics. Furthermore, it is one of the few quantum-mechanical systems for which an exact, analytical solution is known