In classical mechanics, the particle moves in response to a linear restoring force given by F x = − k x, F x = − k x, where x is the displacement of the particle from its equilibrium position. X-direction about the equilibrium position, x = 0 x = 0. Suppose a mass moves back-and-forth along the In this section, we consider oscillations in one-dimension only. The Classic Harmonic OscillatorĪ simple harmonic oscillator is a particle or system that undergoes harmonic motion about an equilibrium position, such as an object with mass vibrating on a spring. We begin with a review of the classic harmonic oscillator. In this chapter, we begin to study oscillating systems using quantum mechanics. In previous chapters, we used Newtonian mechanics to study macroscopic oscillations, such as a block on a spring and a simple pendulum. Oscillations are found throughout nature, in such things as electromagnetic waves, vibrating molecules, and the gentle back-and-forth sway of a tree branch.
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