The **quantum harmonic oscillator** is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary potential can 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.

Read more about Quantum Harmonic Oscillator: *N*-dimensional Harmonic Oscillator, Harmonic Oscillators Lattice: Phonons

### Famous quotes containing the words quantum and/or harmonic:

“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, *quantum* theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”

—Antonin Artaud (1896–1948)

“For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater *harmonic* possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.”

—Kyle D. Pruett (20th century)