Vibrational-Rotational Excitations in Nonlinear Molecular Systems

Alexander A. Ovchinnikov Nikolai S. Erikhman Kirill A. Pronin

ISBN 10: 0306466112 / ISBN 13: 9780306466113

Published by Springer, 2001

About this Item

pp. 372.

Seller Inventory # 263093783

Bibliographic Details

• Title: Vibrational-Rotational Excitations in Nonlinear Molecular Systems
• Publisher: Springer
• Publication Date: 2001
• Language: English
• ISBN 10: 0306466112
• ISBN 13: 9780306466113
• Binding: Hardcover
• Condition: Used

About this title

Synopsis

"If there would be no God ~ then what a staff-captain am I?" ~ said one of the characters in a novel by Dostoevskii. In a similar way we can exclaim: "If there would be no nonlinearity ~ than what physics would that be'?". Really, the most interesting and exciting effects are described by non­ linear equations, and vanish in the linear approximation. For example, the general theory of relativity by A.Einstein comes to mind first - one of the most beautiful physical theories, which is in fact essentially nonlinear. Next, the phase transitions crystal ~ liquid and liquid ~ gas are due to the anhar­ monicity of inter-particle interactions, to dissociation and infinite motion. Similarly, transitions into the superconducting state or the superftuid would be impossible with purely harmonic interaction potentials. Another bril­ liant achievement in nonlinear physics was the construction of a laser and the subsequent development of nonlinear optics. The latter describes the in­ teraction of the matter with light of super-high intensity, when multi-quanta intra-molecular transitions become essential. Last, we should note here the very beautiful mathematical theory ~ the theory of catastrophes. Its subject is the study of invariant general properties of multi-dimensional surfaces in the vicinity of bifurcation points with respect to continuous transformations.