Algebraic Model of Anharmonic Polymer Chains
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
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
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 ฯd in X.