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The 22 pages that link to Harmonic oscillator, each with the reason it gives.

• Ordinary differential equationBroader topic: Its motion is governed by a second-order linear ODE.

• Infrared spectroscopyRelated: It approximates molecular bond vibrations and predicts their fundamental frequencies.

• Molecular vibrationRelated: The harmonic approximation models small-amplitude molecular vibrations.

• Hooke's lawNarrower topic: Hooke's law supplies the restoring force that produces ideal harmonic motion.

• Vibrational spectroscopyRelated: It provides the basic model for molecular vibrational frequencies and energy levels.

• Equipartition theoremBroader topic: Its kinetic and potential terms each contribute half kBT in the classical regime.

• Linear differential equationBroader topic: Its undamped motion satisfies a second-order homogeneous linear equation.

• Reduced massRelated: For two coupled masses, the relative coordinate oscillates with their reduced mass.

• Van der Pol oscillatorCompared with: Unlike the Van der Pol oscillator, it has linear dynamics and no self-sustaining amplitude regulation.

• AnharmonicityCompared with: It is the ideal limit from which anharmonic behavior deviates.

• Dulong–Petit lawRelated: A crystal’s small-amplitude atomic vibrations are approximated as harmonic oscillators.

• Coherent stateNarrower topic: The oscillator supplies the mathematical model behind a single quantized field mode.

• Landau levelNarrower topic: The transverse Landau-level spectrum has the same mathematics as a quantum harmonic oscillator.

• Central forceCompared with: An isotropic oscillator is central, but its linear force law contrasts with inverse-square examples.

• Free particleCompared with: Its confining force contrasts with unbounded free motion.

• Rotational–vibrational spectroscopyBroader topic: Its evenly spaced vibrational levels provide the simplest model of band origins.

• Coupled oscillatorsNarrower topic: It is the standard starting point for analyzing coupled mechanical oscillators.

• Finite potential wellCompared with: Unlike a finite well, its ideal potential rises without bound and has infinitely many bound levels.

• Delta potentialCompared with: Its smooth extended potential contrasts with the delta potential's singular localization.

• Newton's theorem of revolving orbitsCompared with: Its central-force version, like the Kepler force, produces closed bound orbits.

• Position and momentum spacesBroader topic: Its wavefunctions show how position and momentum representations share structured, Fourier-related shapes.

• Potential wellCompared with: Its parabolic potential well has evenly spaced quantum energy levels, unlike generic wells.