Definition:Harmonic Oscillator

This page is about Harmonic Oscillator. For other uses, see Harmonic.

Definition

Let $P$ be a physical particle.

Let the potential energy of $P$ be that of the harmonic potential.

Then $P$ is called the harmonic oscillator.

Sources

• 1963: I.M. Gelfand and S.V. Fomin: Calculus of Variations: $\S 4.23$: The Hamilton-Jacobi Equation. Jacobi's Theorem