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===Molecular vibrations=== {{main|Molecular vibration}} * The vibrations of a [[diatomic molecule]] are an example of a two-body version of the quantum harmonic oscillator. In this case, the angular frequency is given by <math display="block">\omega = \sqrt{\frac{k}{\mu}} </math> where <math>\mu = \frac{m_1 m_2}{m_1 + m_2}</math> is the [[reduced mass]] and <math>m_1</math> and <math>m_2</math> are the masses of the two atoms.<ref>{{Cite web | title=Quantum Harmonic Oscillator | website=Hyperphysics | access-date=24 September 2009 | url=http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc.html}}</ref> * The [[Hooke's atom]] is a simple model of the [[helium]] atom using the quantum harmonic oscillator. * Modelling phonons, as discussed above. * A charge <math>q</math> with mass <math>m</math> in a uniform magnetic field <math>\mathbf{B}</math> is an example of a one-dimensional quantum harmonic oscillator: [[Landau quantization]].
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