Continued fraction formalism and its application to lattice dynamics
- 1 February 1978
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 68 (3) , 812-820
- https://doi.org/10.1063/1.435867
Abstract
The continued fraction formalism of Mori is derived systematically and its application to nonequilibrium statistical mechanics is carefully studied. We choose applications from lattice dynamics and give general solutions for semi‐infinite and infinite harmonic oscillator chains in terms of finite continued fractions. Special cases of these general solutions are considered in detail.Keywords
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