1984•American Journal of PhysicsRequires access

Conservative model for the damped harmonic oscillator

Bernard Yurke

Abstract

A conservative model for the damped harmonic oscillator is constructed by attaching a string of infinite extent to the oscillator’s mass. This system may be used to illustrate, in simple terms, a number of important concepts such as radiation damping, the characteristic impedance of a wave propagating medium, Brownian motion, and the Langevin equation.

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Key concepts: Physics, Harmonic oscillator, Simple harmonic motion, Classical mechanics, Brownian motion, String (physics), Langevin equation, Quantum harmonic oscillator