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Harmonic oscillator - Wikipedia, the free encyclopedia
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Quantum harmonic oscillator - Wikipedia, the free encyclopedia
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This form of the frequency is the same as that for the classical simple harmonic oscillator. The most surprising difference for the quantum case is the so-called zero-point vibration" of the n=0 ground state.
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When a damped oscillator is subject to a damping force which is linearly dependent upon the velocity, such as viscous damping, the oscillation will have exponential decay terms which depend upon a damping coefficient.
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Simple Harmonic Motion: ; In order for mechanical oscillation to occur, a system must posses two ... The movie at right (25 KB Quicktime movie) shows how the total mechanical energy in a simple undamped mass-spring oscillator is traded between kinetic and potential energies while the total energy remains constant.
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Harmonic Oscillators and Waves ... Use your mouse to drag the positive charge up or down, then let it go to start it oscillating. Use the slider to adjust spring tension.
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The Harmonic Oscillator ... The harmonic oscillator is a canonical system discussed in every freshman course of physics. Thus, you might skip this lecture if you are familiar with it. ... The linearized equation of motion of an undamped and undriven pendulum is called a harmonic oscillator:
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Applet: Mass on a Spring ... You can then select the amplitude of the motion by simply grabbing the mass with your mouse. The mass will perform oscillations. By playing with the parameters of the simulation, you can get a good intuitive feeling for how oscillators behave...
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(for w0 > wd ) Here are: wd = b/2m, w' = (w02 - wd2)1/2, and w0 = the frequency of the oscillator without the friction force present = (k/m)1/2. ... Instead of fighting with a derivation, we can experimentally explore the damped oscillator in this applet...
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A simple harmonic oscillator moves back and forth between the two positions of maximum displacement, at x = A and x = - A . ... Simple Harmonic Oscillator: Any object that oscillates about a stable equilibrium position and experiences a restoring force approximately described by Hooke's law.
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