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Nonlinearity and chaos in molecular vibrations /

Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponen...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wu, Guozhen, 1947-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2005.
Edición:1st ed.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Molecular vibration
  • Concepts of dynamical groups
  • Concepts of nonlinear dynamics
  • Application of su(2) algebra
  • Application of noncompact su(1,1) algebra
  • Breaking of su(3) algebra and its application
  • Application of su(3) algebra
  • Quantal effect of asymmetric molecular rotation
  • Pendulum, resonance and molecular highly excited vibration
  • Quasiperiodicity, resonance overlap and chaos
  • Fractal structure of eigencoefficients
  • C-H bend motion of acetylene
  • Lyapunov exponent and nonergodicity of C-H bend motion in acetylene
  • Chaotic and periodic motions of DCN
  • Regular classification of highly excited vibrational levels and its physical background
  • One-electronic motion in multiple sites
  • Lyapunov exponent, action integrals of periodic trajectories and quantization
  • Application of the H function in vibrational relaxation
  • The Dixon Dip and its destruction
  • Chaos in transitional states.