harmonic oscillator

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Related to harmonic oscillator: Anharmonic oscillator

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]
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.
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 ?
We have analyzed the nonlinear dynamics of a harmonic oscillator damped by sliding (or kinetic) friction and have obtained an exact solution.
Some examples are exhibited, in particular, we show that several models of discrete harmonic oscillators, previously considered in a number of publications, can be treated in a unified form.
It is worth informing, the assumption of the last paragraph is in full agreement with what is inferred from the coherent states of the quantum harmonic oscillator (the perfect framework to derive the Planck's law); that is, the statistical Gaussian of the ground state (here, the primordial oscillator) is moved, as a whole, by classical oscillations [11, see p.
n+n1,l+li (r) be two radial functions of the N-th dimensional isotropic harmonic oscillator and let min (n + n1, l + l1) [greater than or equal to] 0 and [([n.
with the corresponding harmonic oscillator frequency
Based on a fractal scaling model [1] of natural oscillations in chain systems of harmonic oscillators we present an alternative mechanism of mass generation.
Mobius' patented CMOS Harmonic Oscillator (CHO) is a monolithic IC and offers system designers a precision frequency source with excellent phase noise and jitter performance.
According to the standing wave model this harmonic oscillator describes the electron.
Mobius' patented CMOS Harmonic Oscillator (CHO(TM)) technology is a significant breakthrough in the multi-billion dollar frequency generation market and expands the total available semiconductor market worldwide.
The case of the harmonic oscillator, already introduced in [7], has central importance here; its quantum formulation according to eq.
Mobius' patented CMOS Harmonic Oscillator (CHO[TM]) technology enables the state-of-the-art jitter performance of the MM8201.