Vibrational-Rotational Excitations in Nonlinear Molecular Systems

di Alexander A. Ovchinnikov (Autore)

Nikolai S. Erikhman (Autore)

Kirill A. Pronin (Autore)

Springer-Verlag New York Inc., 2012

"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.

• Autore: Alexander A. Ovchinnikov, Nikolai S. Erikhman, Kirill A. Pronin
• Editore: Springer-Verlag New York Inc.
• Anno: 2012
• Rilegatura: Paperback / softback
• Pagine: 355 p.
• Dimensioni: 235 x 155 mm
• EAN: 9781461354949

Testo in English