Journal of Mathematical Physics

Multiple time scale analysis of an anharmonic crystal

I. C. Khoo, Y. K. Wang

Published Feb 1, 1976• 16 citations

Abstract

We use the multiple time scale perturbation method to study the lattice dynamics of an anharmonic crystal. The Heisenberg equations of motion for the creation and annihilation operators are solved, and the frequency shift and the decay constants are found to the second order. We also discuss briefly how to apply our solution to calculate the correlation function.

DOI: 10.1063/1.522884

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