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Open Quantum Systems Decoherence

Lattice vibrations in the harmonic approximation

arXiv

Authors: G. V. Paradezhenko, N. B. Melnikov, B. I. Reser

Year

2017

Paper ID

25151

Status

Preprint

Abstract Read

~2 min

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Abstract

We present some theoretical results on the lattice vibrations that are necessary for a concise derivation of the Debye-Waller factor in the harmonic approximation. First we obtain an expression for displacement of an atom in a crystal lattice from its equilibrium position. Then we show that an atomic displacement has the Gaussian distribution. Finally, we obtain the computational formula for the Debye-Waller factor in the Debye model.

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We present some theoretical results on the lattice vibrations that are necessary for a concise derivation of the Debye-Waller factor in the harmonic approximation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.04302 [2] arXiv https://arxiv.org/abs/1711.04302 [3] Publisher https://arxiv.org/abs/1711.04302

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