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Algebraic Model of Anharmonic Polymer Chains

โœ Scribed by Francesco Iachello; Piero Truini


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
221 KB
Volume
276
Category
Article
ISSN
0003-4916

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โœฆ Synopsis


We introduce a model of anharmonic polymer chains based on n replicas of the Lie algebra U(2) and find its spectrum and transition rates up to two quanta of vibration. We compare the corresponding formulas with the infrared spectra of n-paraffins.


๐Ÿ“œ SIMILAR VOLUMES


Algebraic Description of Anharmonic Stre
โœ Xi-Wen Hou; Shi-Hai Dong; Zong-Liang Fang; Zhong-Qi Ma ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

A U(2) algebraic model is presented to describe stretching vibrations of XY n (n ฯญ 2, 3, and 4) systems, where anharmonic interactions between the bond modes are considered. This model in a limit corresponds to an anharmonically coupled local-mode model. As an example, the model for a molecule XY 4

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Let X be a ฮด-variety over some ฮด-field . Denote by td ฮด X/ , or simply td ฮด X if the ground field is understood, the ฮด-transcendental degree of X over . Suppose td ฮด X = d; Johnson [Comment. Math. Helv. 44 (1969), 207-216] showed that there is an increasing chain of ฮด-subvarieties of length ฯ‰d in X.