Correlation between chaotic dynamics and level spacings: the lyapunov and dixon dip approaches to highly excited vibration of deuterium cyanide

Shu Ching Ou, Guo Zhen Wu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Chaotic dynamics of highly excited vibration of deuterium cyanide is explored by two independent approaches: (1) the Lyapunov analysis, based on the classical phase space for the levels, and (2) the Dixon dip analysis based on the concepts of pendulum dynamics and quantized levels. The results show that there is evident correlation between these two algorithms. We also propose that the reciprocal of energy difference between two nearby Dixon dips can be taken as a qualitative measure for the degree of dynamical chaos.

Original languageEnglish (US)
Article number015
Pages (from-to)1841-1844
Number of pages4
JournalChinese Physics Letters
Volume24
Issue number7
DOIs
StatePublished - Jul 1 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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