Anharmonicity plays a role in lattice and molecular vibrations, in quantum oscillations ( see ), and in acoustics.
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Anharmonicity also modifies the energy profile of the resonance curve, leading to interesting phenomena such as the foldover effect and superharmonic resonance.
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An example of the effects of anharmonicity is the thermal expansion of solids, which is usually studied within the quasi-harmonic approximation.
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These three terms alone give rise to the Jaynes-Cummings ladder of dressed states, and the associated anharmonicity in the energy spectrum.
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In reality, this expression has to be modified for the effects of anharmonicity of the vibrations, for centrifugal distortion and for Coriolis coupling.
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In infrared spectroscopy he studied molecular vibrations as well as overtone bands in hydrogen-bonded systems, and the effect of hydrogen bonds on vibrational anharmonicity.
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I might also say that if you want to get scientificky, our pages Harmonic oscillator, resonance, harmonic, and anharmonicity might be of interest.
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Studying vibrating anharmonic systems using quantum mechanics is a computationally demanding task because anharmonicity not only makes the potential experienced by each oscillator more complicated, but also introduces coupling between the oscillators.
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This is because, although the model does account for bond stretching due to rotation, it ignores any bond stretching due to vibrational energy in the bond ( anharmonicity in the potential ).
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Because it is a statistical sampling method, PIMC takes into account all the anharmonicity, and because it is quantum, it takes into account all quantum effects ( with the exception of the exchange interaction usually ).
