Multiple time scale analysis of an anharmonic crystal

I. C. Khoo; Y. K. Wang

doi:10.1063/1.522884

Multiple time scale analysis of an anharmonic crystal

I. C. Khoo, Y. K. Wang

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15 Scopus citations

Abstract

We use the multiple time scale perturbation method to study the lattice dynamics of an enharmonic 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.

Original language	English (US)
Pages (from-to)	222-227
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	17
Issue number	2
DOIs	https://doi.org/10.1063/1.522884
State	Published - 1975

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.522884

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title = "Multiple time scale analysis of an anharmonic crystal",

abstract = "We use the multiple time scale perturbation method to study the lattice dynamics of an enharmonic 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.",

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AB - We use the multiple time scale perturbation method to study the lattice dynamics of an enharmonic 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.

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Multiple time scale analysis of an anharmonic crystal

Abstract

All Science Journal Classification (ASJC) codes

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