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 ?
Next, the results from the harmonic oscillation test were used to determine the values of [m.
All the parameters of the harmonic oscillation of the piston are transferred identically on the harmonic sliding motion between tests sample and the device cylinder.
We solve this equation using the small parameter method of Poincare, known also as the perturbation method: we consider the right side as a perturbation of a harmonic oscillation described by the left side.
The MCS Series of primary switch-mode power supplies is equipped with PFC -- Power Factor Correction -- allowing the line to meet the new ENEC standard, which requires all power supplies employed in Europe to meet stringent limits of harmonic oscillation current.
The 939UDx also integrates the Roche Super UA Urine Chemistry Analyzer for reading CHEMSTRIP(TM) urine test strips, the IRIS imaging flow cytometer and IRIS Automated Intelligent Microscopy for capturing and displaying images in a patented format on the high resolution IRISuperScan(TM) ViewStation, the IRIS-exclusive harmonic oscillation method for measuring specific gravity, and a true color and clarity determination.
The new system integrates the BMC Super UA Urine Analyzer for reading CHEMSTRIP urine test strips, the IRIS imaging flow cytometer and IRIS Automated Intelligent Microscopy for capturing and displaying images in full color on the new high-resolution IRISuperScope View Station, the IRIS-exclusive harmonic oscillation method for measuring specific gravity, and a new true color and clarity determination.
The new system integrates BMC's CHEMSTRIP Super UA Urine Analyzer, Automated Intelligent Microscopy of IRIS flow microscope images in full color on the new high-resolution IRISuperScope View Station, absolute specific gravity measurement via the IRIS-exclusive harmonic oscillation method and first-time automated true color and clarity determinations.
It should be noted that, depending on sources of distortion, a significant spectrum of interharmonics (IG) can be generated along with the HG, which, in accordance with the IEC standard, include harmonic oscillations with frequencies not multiples of the frequency of the supply network [6].
They consist mainly of quasi harmonic oscillations with variable phases and amplitudes and small irregular variations, containing abrupt changes due to certain natural sources of impulse excitations.
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).
It is advisable to use DCT when harmonic oscillations amplitude bouncing.