{"product_id":"9780306466113","title":"Vibrational-Rotational Excitations in Nonlinear Molecular Systems","description":"\u003ch1\u003eVibrational-Rotational Excitations in Nonlinear Molecular Systems\u003c\/h1\u003e \u003ch2\u003eOvchinnikov, Alexander A.; Erikhman, Nikolai S.; Pronin, Kirill A.\u003c\/h2\u003e \u003cp\u003e\"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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-11-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780306466113\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4615-1317-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 355\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":47185263394956,"sku":"9780306466113","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780306466113.jpg?v=1775013120","url":"https:\/\/lateknightbooks.com\/products\/9780306466113","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}