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Nonlinearity and chaos in molecular vibrations

	Author(s):	Guozhen Wu
	Collection:
	Publisher:	Elsevier
	Year:	2005
	Language:	English
	Pages:	321 pages
	Size:	2.07 MB
	Extension:	DJVU

[tab] [content title="Description"]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 exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics. The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations * Approaches the complicated highly excited molecular vibration * Provides clear information for students and researchers looking to expand knowledge in this field [/content] [content title="Content"] [/content] [content title="About the author"] PHOTO: Wu Guozhen Wu Guozhen 吴国桢 President of the China Council for Promotion of Peaceful Reunification Born: 1947 Birthplace: Taiwan, Taipei AT-A-GLANCE BIOGRAPHY CAREER DATA TRAVEL & APPEARANCES FULL LISTING Biography Highlight Wu Guozhen, male, Han nationality, is a native of Taibei Taiwan. He was born in 1947 and graduated from the University of Oklahoma in 1976. Wu Guozhen has long been active in the Taiwan Democratic Self-Government League. Wu was a member of the standing committees of the 3rd, 4th, and 5th Taiwan Democratic Self-Government League Central Committees. He was also a member of the 7th CPPCC National Committee and a member of the standing committee of the 9th CPPCC National Committee. Wu is honored as a professor of physics at Qinghua University. [/content] [/tab]

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