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Nonlinear physics of DNA par Yakushevich,, Ludmila V. Publication : [S.l.] Wiley-VCH 2004 . 205 p. , The first edition of this book was the first on the physics of DNA to go beyond the simple (simplified) 'linear' approach, and it has since been found that the inclusion of nonlinear effects leads to a significantly improved interpretation of experimental data. This new edition naturally retains this approach, but has been completely revised, updated and expanded to cover recent developments. Beginning with introductory chapters on DNA structure and dynamics, the book also includes a comparison between linear and nonlinear approaches to the DNA molecule, a chapter devoted to the statistics of nonlinear excitations of DNA, and examples for the interpretation of experimental data on the dynamics of DNA in terms of nonlinear theory. Essential reading for researchers in biophysics and nonlinear physics, allowing biologists, chemists and physicists to continue developing new and improved techniques of investigating the DNA molecule. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Nonlocal continuum field theories par Eringen, A. Cemal. Publication : [S.l.] Springer 2002 . 424 p. , Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Operator approach in linear problems of hydrodynamics par Kopachevsky,, Nikolay D. Publication : [S.l.] Birkhäuser Basel 2001 . 384 p. , This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of visco-elastic or relaxing fluids. The work relies on the authors' and their students' works of the last 30-40 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, self-adjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

Optical solitons : from fibers to photonic crystals / par Kivshar,, Y. S. Publication : . 1 online resource (xvi, 540 pages) : , The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short distances due to dispersion, but solitons on the other hand are not as susceptible to the effects of dispersion, and although they are subject to losses due to attenuation they can be amplified without being received and re-transmitted. This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping. It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Also, it will summarize a number of important experimental verification of the basic theoretical predictions and concepts covering the observation of self-focusing in the earlier days of nonlinear optics and the most recent experimental results on spatial solitons, vortex solitons, and soliton interaction and spiraling. * Introduces the fundamental concepts of the theory of nonlinear waves and solitons through realistic models * Material is based on authors' years of experience actively working in and researching the field * Summarizes the most important experimental verification of the basic theories, predictions and concepts of this ever evolving field from the earliest studies to the most recent. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

P-adic deterministic and random dynamics / par Khrennikov,, Andrei Y. Publication : [S.l.] : Springer, 2004 . 270 p. ; , This is the first monograph in the theory of p-adic (and more general non-Archimedean) dynamical systems. The theory of such systems is a new intensively developing discipline on the boundary between the theory of dynamical systems, theoretical physics, number theory, algebraic geometry and non-Archimedean analysis. Investigations on p-adic dynamical systems are motivated by physical applications (p-adic string theory, p-adic quantum mechanics and field theory, spin glasses) as well as natural inclination of mathematicians to generalize any theory as much as possible (e.g., to consider dynamics not only in the fields of real and complex numbers, but also in the fields of p-adic numbers). The main part of the book is devoted to discrete dynamical systems: cyclic behavior (especially when p goes to infinity), ergodicity, fuzzy cycles, dynamics in algebraic extensions, conjugate maps, small denominators. There are also studied p-adic random dynamical system, especially Markovian behavior (depending on p). In 1997 one of the authors proposed to apply p-adic dynamical systems for modeling of cognitive processes. In applications to cognitive science the crucial role is played not by the algebraic structure of fields of p-adic numbers, but by their tree-like hierarchical structures. In this book there is presented a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. There are also studied p-adic neural network and their applications to cognitive sciences: learning algorithms, memory recalling. Finally, there are considered wavelets on general ultrametric spaces, developed corresponding calculus of pseudo-differential operators and considered cognitive applications. Audience: This book will be of interest to mathematicians working in the theory of dynamical systems, number theory, algebraic geometry, non-Archimedean analysis as well as general functional analysis, theory of pseudo-differential operators; physicists working in string theory, quantum mechanics, field theory, spin glasses; psychologists and other scientists working in cognitive sciences and even mathematically oriented philosophers. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Particle penetration and radiation effects general aspects and stopping of swift point charges par Sigmund, Peter. Publication : Berlin | New York Springer. 2006 . xxiv, 437 pages 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Physics of continuous matter : exotic and everyday phenomena in the macroscopic world / par Lautrup,, Benny. Publication : [S.l.] : CRC Press, 2004 . 624 p. ; , Paperback. 27 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Predictive statistical mechanics a nonequilibrium ensemble formalism par Luzzi, Roberto. Publication : Dordrecht Springer 2002 . XL-301 p. , Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed. 25 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum chance and non-locality : probability and non-locality in the interpretations of quantum mechanics / par Dickson,, W. Michael. Publication : [S.l.] : Cambridge University Press, 2005 . 268 p. ; , This book examines in detail two of the fundamental questions raised by quantum mechanics. Is the world indeterministic? Are there connections between spatially separated objects? In the first part of the book after outlining the formalism of quantum mechanics and introducing the measurement problem, the author examines several interpretations, focusing on how each proposes to solve the measurement problem and on how each treats probability. In the second part, the author argues that there can be non-trivial relationships between probability (specifically, determinism and indeterminism) and non-locality in an interpretation of quantum mechanics. The author then re-examines some of the interpretations of part one of the book in the light of this argument, and considers how they are with regard to locality and Lorentz invariance. One of the important lessons that comes out of this discussion is that any examination of locality, and of the relationship between quantum mechanics and the theory of relativity, should be undertaken in the context of a detailed interpretation of quantum mechanics. The book will appeal to anyone with an interest in the interpretation of quantum mechanics, including researchers in the philosophy of physics and theoretical physics, as well as graduate students in those fields. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum field theory of non-equilibrium states par Rammer, Jørgen. Publication : Cambridge Cambridge University Press 2010 . pages cm. , Originally published: 2007. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum field theory a modern perspective par Nair, V. Parameswaran. Publication : [S.l.] Springer 2005 . 556 p. , Based on lecture notes for a graduate course given for many years at the City University of New York.  At present, there is no. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Quantum hall systems : braid groups, composite fermions and fractional charge / par Jacak,, Lucjan. Publication : [S.l.] : Oxford University Press, 2003 . 160 p. ; , ReliØ. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum mathematical physics Atoms, molecules and large systems par Thirring, Walter Publication : New York Springer 2002 . xvi, 582 pages , This edition combines the earlier two volumes on Quantum mechanics of atoms and molecules, and Quantum mechanics of large systems, published separately in 1981 and 1983 as a volumes 3 and 4 of the Lehrbuch der mathematischen Physik. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum mechanics : an accessible introduction / par Scherrer,, Robert. Publication : [S.l.] : Addison Wesley, 2005 . 500 p. ; , KEY BENEFIT : Robert Scherrer's text provides a uniquely accessible and thorough introduction to quantum mechanics for readers. Scherrer carefully develops a solid foundation by recapping on the required math and other basic concepts before developing all the major more advanced topics. The Origins of Quantum Mechanics, The Problem with Blackbody Radiation, Math Interlude A: Complex Numbers and Linear Operators, The Schrijdinger Equation, One-Dimensional Time-Independent, Math Interlude B: Linear Algebra,  The Three-Dimensional Time-Independent, Math Interlude C: Matrices, Dirac Notation, and the Dirac Delta Function, Spin Angular Momentum, Time-Independent Perturbation Theory, The Variational Principle, Time-Dependent Perturbation Theory, Scattering Theory, The Multiparticle Schrijdinger Equation, Some Modern Applications of Quantum Mechanics, What Comes Next? Relativistic Quantum Mechanics KEY MARKET : For all readers interested in quantum mechanics.   24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum mechanics par Devanathan,, V. Publication : [S.l.] Alpha Science International, Ltd 2005 . 346 p. , Quantum Mechanics describes the phenomena that matter and light exhibit on an atomic scale and so the study of atomic physics, nuclear physics and solid state physics are impossible without a clear understanding of the basic concepts and formalism of Quantum Mechanics. Since Physics deals essentially with numbers. the measurement of physical quantities and the calculations of these quantities on the basis of a theoretical framework. adequate attention has been paid to computation and numerical exercises. This book aims to promote a comprehensive understanding of the subject with illustrative examples. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum physics par Scheck, Florian. Publication : [S.l.] Springer 2007 . 754 p. , Scheck’s Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions or hints, enables the book’s use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices covering mathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum-classical correspondence Dynamical quantization and the classical limit par Bolivar, A. O. Publication : Berlin | Heidelberg Springer 2004 . xiii, 186 pages 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Radiation mechanics principles and practice par Hussein, Esam M. A. Publication : Amsterdam | Boston Elsevier 2007 . xv, 327 pages 25 cm Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Relativistic numerical hydrodynamics / par Wilson,, James R. Publication : [S.l.] : Cambridge University Press, 2003 . 232 p. ; , Calculations of relativistic hydrodynamics are crucial to several areas of current research in the physics of supernovae and stellar collapse. This book provides an overview of the computational framework in which such calculations have been developed, with examples of applications to real physical systems. Beginning with the development of the equations and differencing schemes for special relativistic hydrodynamics, the book stresses the viability of the Euler-Lagrange approach to most astrophysical problems. It details aspects of solving the Einstein equations together with the fluid dynamics for various astrophysical systems in one, two and three dimensions. 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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