harmonic oscillator

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Harmonic oscillator

Any physical system that is bound to a position of stable equilibrium by a restoring force or torque proportional to the linear or angular displacement from this position. If such a body is disturbed from its equilibrium position and released, and if damping can be neglected, the resulting vibration will be simple harmonic motion, with no overtones. The frequency of vibration is the natural frequency of the oscillator, determined by its inertia (mass) and the stiffness of its restoring force.

The harmonic oscillator is not restricted to a mechanical system, but might, for example, be electric. Typical electronic oscillators, however, are only approximately harmonic.

If a harmonic oscillator, instead of vibrating freely, is driven by a periodic force, it will vibrate harmonically with the period of the force; initially the natural frequency will also be present, but any damping will eventually remove the natural motion. See Damping, Forced oscillation, Harmonic motion

In both quantum mechanics and classical mechanics, the harmonic oscillator is an important problem. It is one of the few rigorously soluble problems of quantum mechanics. The quantum-mechanical description of electromagnetic, electronic, mesonic, and other fields is usually carried out in terms of a (time) Fourier analysis. The individual Fourier components of noninteracting fields are independent harmonic oscillators. See Anharmonic oscillator

harmonic oscillator

[här′män·ik ′äs·ə‚lād·ər]
(electronics)
(mechanics)
Any physical system that is bound to a position of stable equilibrium by a restoring force or torque proportional to the linear or angular displacement from this position.
(physics)
Anything which has equations of motion that are the same as the system in the mechanics definition. Also known as linear oscillator; simple oscillator.
References in periodicals archive ?
The slide of the piston into the cylinder is governed by simple harmonic oscillation laws, because the movement is generated by the revolution of a crankshaft which is acting using a connecting rod to a linear translation of the piston.
The first of them is a harmonic oscillation equation, with the solution
Designed to provide the fastest and most accurate complete urinalysis, the new system combines the gold standard measures of IRIS automated intelligent microscopy and specific gravity by harmonic oscillation with a new BMC reflectance photometric capability that allows reading the most accurate urine test strips made today in 45 seconds.
This advanced version of The Yellow IRIS(R) provides the fastest and most accurate complete urinalysis profile available, combining the gold standard measures of automated intelligent microscopy and specific gravity by harmonic oscillation with a new reflectance photometric capability of rapidly reading the most accurate urine test strips made today.
The principle of UIT is based on instrumental conversions of harmonic oscillations of an.
His topics include the forced harmonic oscillations of rigid bodies in a compressible viscous fluid, the dynamics of rigid bodies under the action of acoustic waves, waves in an elastic thin-walled cylindrical shell filled with a compressible viscous fluid, and waves in elastic bodies with initial stresses.
Coupling the inter-site Morse potential to the on-site Morse potential offers a variety of possibilities as the latter favours the onset of DB (for the case of on-site harmonic oscillations coupled to inter-site harmonic oscillations see [17] and references therein).
In this case harmonic oscillations are excited in frequency range from 0 Hz at [[omega].
We soon discovered carbon recovered from harmonic oscillations and paradox flex faster than aluminum, meaning faster stabilization after launch and impact, translating directly into deeper penetration on game.
Since the present approach gives sensible results for harmonic oscillations, there is no reason to exclude that the same holds for anharmonic oscillations as well.