The Transfer Matrix Method in the Theory of Normal Vibrations of Chain Molecules (Part I. Time Independent Problem)
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概要
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After reviewing the transfer matrix method introduced by Schmidt, and by Hori and Asahi for the problem of the vibration of a disordered linear chain, we discuss its extension by Yamamoto, Okada, and the present author to more complex systems. Classifying the frequency regions by the 's-value', which is defined as half a number of eigenvalues with absolute value 1 of the transfer matrix, we study the general aspects of normal modes in each region. When s=1, a'phase shift'is shown to be a very useful quantity for expressing end effects on the frequency and intensity of the infrared absorption of a chain molecule. As an application we discuss the analysis of the experimental data on the rocking-twisting modes of normal paraffins, which indicates the practical importance of our theory.
- 理論物理学刊行会の論文
著者
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Matsuda Hirotsugu
Department Of Biology Faculty Of Science Kyushu University
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Matsuda Hirotsugu
Department Of Chemistry Kyoto University
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