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Vibrational Rotational Excitations In Nonlinear Molecular Systems
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Author :Alexander A. Ovchinnikov Publisher :Springer Science & Business Media ISBN 13 :1461513170 Total Pages :361 pages Book Rating :4.4/5 (615 download)
Book Synopsis Vibrational-Rotational Excitations in Nonlinear Molecular Systems by : Alexander A. Ovchinnikov
Download or read book Vibrational-Rotational Excitations in Nonlinear Molecular Systems written by Alexander A. Ovchinnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures by : Leonid I. Manevitch
Download or read book Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures written by Leonid I. Manevitch and published by Springer. This book was released on 2017-07-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics. In order to highlight the novelty and perspectives of the developed approach, it places the LPT concept in the context of dynamical phenomena related to the energy transfer problems and applies the theory to numerous problems of practical importance. This approach leads to the conclusion that strongly nonstationary resonance processes in nonlinear oscillator arrays and nanostructures are characterized either by maximum possible energy exchange between the clusters of oscillators (coherence domains) or by maximum energy transfer from an external source of energy to the chain. The trajectories corresponding to these processes are referred to as LPTs. The development and the use of the LPTs concept a re motivated by the fact that non-stationary processes in a broad variety of finite-dimensional physical models are beyond the well-known paradigm of nonlinear normal modes (NNMs), which is fully justified either for stationary processes or for nonstationary non-resonance processes described exactly or approximately by the combinations of the non-resonant normal modes. Thus, the role of LPTs in understanding and analyzing of intense resonance energy transfer is similar to the role of NNMs for the stationary processes. The book is a valuable resource for engineers needing to deal effectively with the problems arising in the fields of mechanical and physical applications, when the natural physical model is quite complicated. At the same time, the mathematical analysis means that it is of interest to researchers working on the theory and numerical investigation of nonlinear oscillations.
Book Synopsis Molecular Vibrations: An Algebraic And Nonlinear Approach by : Guozhen Wu
Download or read book Molecular Vibrations: An Algebraic And Nonlinear Approach written by Guozhen Wu and published by World Scientific. This book was released on 2018-08-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the main idea that highly-excited molecular vibration is a nonlinear, many-body and semiclassical system. Therefore, many ideas and techniques in nonlinear fields such as chaos, resonance, Lyapunov exponent, etc. can be incorporated into this study. Together with the Lie algebraic coset algorithm, readers are able to approach the topics in a simple arithmetic and realistic way in contrast to the traditional solving of Schrödinger equation.Covering the author's research in over two decades, these works bridge the gaps between molecular vibration and nonlinear sciences, many new characters are introduced for molecular highly-excited vibration from a fresh viewpoint of nonlinearity, especially, the chaos. Related works of the elementary ideas in this field can be found in the first three chapters for the readers to be familiar with, while the rest of the chapters offer concrete examples with flourishing ideas and results on system dynamics which are not known or neglected by the traditional wave function algorithm.
Book Synopsis Dynamical Tunneling by : Srihari Keshavamurthy
Download or read book Dynamical Tunneling written by Srihari Keshavamurthy and published by CRC Press. This book was released on 2011-03-09 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A prominent aspect of quantum theory, tunneling arises in a variety of contexts across several fields of study, including nuclear, atomic, molecular, and optical physics and has led to technologically relevant applications in mesoscopic science. Exploring mechanisms and consequences, Dynamical Tunneling: Theory and Experiment presents the work of i
Book Synopsis Nonlinear Optical and Atomic Systems by : Christophe Besse
Download or read book Nonlinear Optical and Atomic Systems written by Christophe Besse and published by Springer. This book was released on 2015-08-26 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. The text covers a wide spectrum of current research on the subject, which is an extremely active field in physics and mathematical physics, with a very broad range of implications, both for fundamental science and technological applications: light propagation in microstructured optical fibers, Bose-Einstein condensates, disordered systems, and the newly emerging field of nonlinear quantum mechanics. Accessible to PhD students, this book will also be of interest to post-doctoral researchers and seasoned academics.
Book Synopsis Physical Properties of Nanosystems by : Janez Bonca
Download or read book Physical Properties of Nanosystems written by Janez Bonca and published by Springer Science & Business Media. This book was released on 2010-10-23 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in nanoscience have demonstrated that fundamentally new physical phenomena are found when systems are reduced to sizes comparable to the fundamental microscopic length scales of the material investigated. There has been great interest in this research due, in particular, to its role in the development of spintronics, molecular electronics and quantum information processing. The contributions to this volume describe new advances in many of these fundamental and fascinating areas of nanophysics, including carbon nanotubes, graphene, magnetic nanostructures, transport through coupled quantum dots, spintronics, molecular electronics, and quantum information processing.
Book Synopsis Vibrational-rotational Spectroscopy And Molecular Dynamics by : Dusan Papousek
Download or read book Vibrational-rotational Spectroscopy And Molecular Dynamics written by Dusan Papousek and published by World Scientific. This book was released on 1997-10-31 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reviews the results of vibration-rotational spectroscopy of molecules obtained recently by combining modern computational methods of quantum chemistry with the new techniques of high-resolution rotational and vibration-rotational spectroscopy. It shows for example that the tunneling vibration-rotational spectroscopy of the van der Waals complexes provides a new look at intermolecular forces while the high precision and sensitivity of the submillimeter-wave and Fourier transform microwave spectroscopy make it possible to study complex rotational spectra of molecules in excited vibrational states. New results of high level ab initio quantum chemical computations of vibrational and rotational energy levels and dipole moment functions of unusual molecules will be discussed together with the recent discovery of clustering of energy levels in asymmetric tops. Group theoretical analysis of floppy molecules, especially the tunneling effects in nonrigid molecules, will also be discussed.
Book Synopsis Coherent Nonlinear Optics by : M.S. Feld
Download or read book Coherent Nonlinear Optics written by M.S. Feld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encounters in Nonlinear Optics by : N. Bloembergen
Download or read book Encounters in Nonlinear Optics written by N. Bloembergen and published by World Scientific. This book was released on 1996 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers in the field of nonlinear optics contains reprints of original research, and general reviews written since 1960 up to the present. Brief comments by the author place each paper in a historical context of the evolution of nonlinear optics. Papers are selected from a more comprehensive bibliography either on the basis of their influence on subsequent developments or because they were originally published in journals or conference proceedings which are less easily accessible.
Book Synopsis Nonlinearity and Chaos in Molecular Vibrations by : Guozhen Wu
Download or read book Nonlinearity and Chaos in Molecular Vibrations written by Guozhen Wu and published by Elsevier. This book was released on 2005-07-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Vibrational Mechanics: Nonlinear Dynamic Effects, General Approach, Applications by : Iliya I Blekhman
Download or read book Vibrational Mechanics: Nonlinear Dynamic Effects, General Approach, Applications written by Iliya I Blekhman and published by World Scientific. This book was released on 2000-01-15 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book deals with vibrational mechanics — the new, intensively developing section of nonlinear dynamics and the theory of nonlinear oscillations. It offers a general approach to the study of the effect of vibration on nonlinear mechanical systems.The book presents the mathematical apparatus of vibrational mechanics which is used to describe such nonlinear effects as the disappearance and appearance under vibration of stable positions of equilibrium and motions (i.e. attractors), the change of the rheological properties of the media, self-synchronization, self-balancing, the vibrational maintenance or deceleration (retardation) of the rotation of unbalanced rotors, resonances in the motions of celestial bodies, vibrational displacement and shift, vibrational excitation of streams and the transportation of bodies in the fluid. The book considers the use of these effects in creating new vibrational machines, technologies, and also principally new materials (”dynamical materials”).Vibrational Mechanics contains many results published only in Russian and therefore unknown to the specialists in the West, and also a review of the new results obtained by researchers after the book was first published in Russia.
Book Synopsis Vibrational Dynamics Of Molecules by : Joel M Bowman
Download or read book Vibrational Dynamics Of Molecules written by Joel M Bowman and published by World Scientific. This book was released on 2022-06-14 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibrational Dynamics of Molecules represents the definitive concise text on the cutting-edge field of vibrational molecular chemistry. The chapter contributors are a Who's Who of world leaders in the field. The editor, Joel Bowman, is widely considered as one of the founding fathers of theoretical reaction dynamics. The included topics span the field, from fundamental theory such as collocation methods and vibrational CI methods, to interesting applications such as astrochemistry, supramolecular systems and virtual computational spectroscopy. This is a useful reference for theoretical chemists, spectroscopists, physicists, undergraduate and graduate students, lecturers and software developers.
Book Synopsis Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping by : Hai-Lung Dai
Download or read book Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping written by Hai-Lung Dai and published by World Scientific. This book was released on 1995 with total page 1154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first stimulated emission pumping (SEP) experiments more than a decade ago, this technique has proven powerful for studying vibrationally excited molecules. SEP is now widely used by increasing numbers of research groups to investigate fundamental problems in spectroscopy, intramolecular dynamics, intermolecular interactions, and even reactions. SEP provides rotationally pre-selected spectra of vibrationally highly excited molecules undergoing large amplitude motions. A unique feature of SEP is the ability to access systematically a wide variety of extreme excitations localized in various parts of a molecule, and to prepare populations in specific, high vibrational levels. SEP has made it possible to ask and answer specific questions about intramolecular vibrational redistribution and the role of vibrational excitation in chemical reactions.
Book Synopsis Ab Initio Variational Calculations of Molecular Vibrational-Rotational Spectra by : Debra J. Searles
Download or read book Ab Initio Variational Calculations of Molecular Vibrational-Rotational Spectra written by Debra J. Searles and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work had its beginnings in the early 1980s at the University ofWollongong, with significant contributions from Dr. Margret Hamilton, Professors Peter G. Burton and Greg Doherty. The emphasis was to develop computer code to solve the nuclear Schrodinger problem. For bent triatomic molecules the project was fmally realized at the University of Newcastle a decade or so later, with the contribution from Ms. Feng Wan g. Aspects of this work are now taught in the quantum mechanics and electron spectroscopy courses at The University of Newcastle. Even now "complete" ab initio solutions of the time-independent SchrOdinger equation is not commonplace for molecules containing four atoms or more. In fact, when using the Eckart-Watson nuclear Hamiltonian a further restriction needs to be imposed; that is, the molecule is restricted to undergoing small amplitudes of vibration. This Hamiltonian is useful for molecules containing massive nuclei and moreover, has been extremely useful in interpreting the rovibrational spectra of small molecules. Nevertheless, a number of nuclear Hamiltonians that do not embed an equilibrium geometry have become well established and are extremely successful in interpreting rovibrational spectra of floppy molecules. Furthermore, solution algorithms vary greatly from research group to research group and it is still unclear which aspects will survive the next decade. For example, even for a triatomic molecule a general form of a potential function has not yet been uncovered that will generally interpolate with accuracy and precision ab initio discrete surfaces.
Book Synopsis Ultrasensitive Nonlinear Vibrational Spectroscopy of Complex Molecular Systems by : Oleg Selig
Download or read book Ultrasensitive Nonlinear Vibrational Spectroscopy of Complex Molecular Systems written by Oleg Selig and published by . This book was released on 2017 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work we use polarization-resolved pump-probe and two-dimensional infrared (2DIR) spectroscopy to study the conformational changes and the vibrational population dynamics in complex molecular systems. In the first part of this thesis we investigate elastin-like polypeptides, which are a new class of biocompatible molecules known for their promising application in drug delivery, tissue engineering and recombinant protein purification. When heated above their lower critical solution temperature, these peptides undergo a sharp, reversible transition to an insoluble phase. We study the molecular origin of this transition by using 2DIR spectroscopy to probe the amide I’ vibration, which is sensitive to the conformation and the solvation state of the peptide backbone. In the second part we demonstrate how the sensitivity of nonlinear vibrational spectroscopy can be increased by more than 4 orders of magnitude by exploiting the nearfield of infrared gold nanoantennas. In addition to performing a proof of principle experiment, we also develop an intuitive and didactic model which explains the observed linear and nonlinear infrared signals. In the last part we study methylammonium lead halide perovskites, which are a new class of solution-processable, cheap, high-efficiency solar-cell materials. Many of the remarkable optoelectronic properties of these materials are attributed to the fast reorientational dynamics of the methylammonium cation. We use a combination of 2DIR spectroscopy and molecular dynamics simulations to characterize the timescale and nature of these ultrafast motions.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fusion Energy Update written by and published by . This book was released on 1986 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
