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The Harmonic Oscillator

The Harmonic OscillatorMath 24: Ordinary Differential EquationsChris MeyerMay 23, 2008 IntroductionThe Harmonic Oscillator is a common model used in physics because of the wide range ofproblems it can be applied to. For example atoms in a lattice (crystalline structure of asolid) can be thought of as an infinite string of masses connected together by springs, whoseequation of motion is oscillatory. In fact, the solutions can be generalized to many systemsundergoing oscillations, of which the mass-spring system is just one example.

The Harmonic Oscillator Math 24: Ordinary Difierential Equations Chris Meyer May 23, 2008 Introduction The harmonic oscillator is a common model used in physics because of the wide range of problems it can be applied to. For example atoms in a lattice (crystalline structure of a

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