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The harmonic oscillator plays an important role both in quantum physics and classical physics. It appears in an approximate way each time a system describes small-amplitude movements around an equilibrium position. In one dimension, any given potential V(x) can be written in the neighbourhood of one of its minima, \(x_0\) , in the form of a Taylor series expansion approximated to second order.

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Harmonic Oscillators

  • 章节

  • 发表日期：

    2025年

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  • Daniel Baye,
  • Marianne Dufour,
  • Benjamin Fuks

摘要

The harmonic oscillator plays an important role both in quantum physics and classical physics. It appears in an approximate way each time a system describes small-amplitude movements around an equilibrium position. In one dimension, any given potential V(x) can be written in the neighbourhood of one of its minima, \(x_0\) , in the form of a Taylor series expansion approximated to second order.