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Nonlinear Klein Gordon And Schroedinger Systems
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Book Synopsis Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications by : Luis Vazquez
Download or read book Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications written by Luis Vazquez and published by World Scientific. This book was released on 1996-06-20 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.
Book Synopsis Nonlinear Klein-Gordon and Schroedinger Systems by : Luis Vázquez
Download or read book Nonlinear Klein-Gordon and Schroedinger Systems written by Luis Vázquez and published by World Scientific Publishing Company Incorporated. This book was released on 1996 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems by : Luis.. Vásquez
Download or read book Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems written by Luis.. Vásquez and published by . This book was released on 1996 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical studies of nonlinear Schrödinger and Klein-Gordon systems by : Dae-il Choi
Download or read book Numerical studies of nonlinear Schrödinger and Klein-Gordon systems written by Dae-il Choi and published by . This book was released on 1998 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Mechanics in Nonlinear Systems by : Xiao-Feng Pang
Download or read book Quantum Mechanics in Nonlinear Systems written by Xiao-Feng Pang and published by World Scientific. This book was released on 2005 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.
Book Synopsis Nonlinear Klein-Gordon and Schrodinger Systems by :
Download or read book Nonlinear Klein-Gordon and Schrodinger Systems written by and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Schrödinger Equations in Nonlinear Systems by : Wu-Ming Liu
Download or read book Schrödinger Equations in Nonlinear Systems written by Wu-Ming Liu and published by Springer. This book was released on 2019-03-20 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schrödinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.
Book Synopsis Proceedings of the Workshop Nonlinear Physics, Theory and Experiment, II by : Mark J. Ablowitz
Download or read book Proceedings of the Workshop Nonlinear Physics, Theory and Experiment, II written by Mark J. Ablowitz and published by World Scientific. This book was released on 2003 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pt. I. Analytical methods. On the IST for discrete nonlinear Schrödinger systems and polarization shift for discrete vector solitons / M.J. Ablowitz, B. Prinari, A.D. Trubatch -- Soliton solutions of coupled nonlinear Klein-Gordon equations / T. Alagesan -- Characteristic initial value problems for integrable hyperbolic reductions of Einstein's equations / G.A. Alekseev -- Discrete sine-Gordon equation / M. Boiti [und weitere] -- Integrable and non-integrable equations with peakons / A. Degasperis, D.D. Holm, A.N.W. Hone -- Solution of a free boundary problem for a nonlinear diffusion-convection equation / S. De Lillo, M.C. Salvatori, G. Sanchini -- Iterative construction of solutions for a nonisospectral problem in 2 + 1 dimensions / P.G. Estevez -- Discrete breathers close to the anticontinuum limit: existence and wave scattering / S. Flach [und weitere] -- Complex Toda chain - an integrable universal model for adiabatic N-soliton interactions! / V.S. Gerdjikov -- On the reductions and scattering data for the generalized Zakharov-Shabat systems / G.G. Grahovski -- Bilinear representation for the modified nonlinear Schrödinger equations and their quantum potential deformations / J.H. Lee, O.K. Pashaev -- Noncommutative Burgers' equations / L. Martina, O.K. Pashaev -- On the quasi-classical [sumbol]-dressing method / B. Konopelchenko, A. Moro -- New solvable matrix integrals - U(n) case / A. Yu. Orlov -- Integrable hydrodynamic chains / M.V. Pavlov -- KPII: new results and open problems / A.K. Pogrebkov -- A workmate for KdV / P.C. Sabatier -- Space-time lattice for operator Schrödinger equation / A. Spire, V.V. Konotop, L. Vazquez -- On isomonodromy deformations for the ZS-AKNS flows / D. Wu -- pt. II. Symmetry properties, Hamiltonian methods and group theoretical methods. New symmetry reductions for a lubrication model / M.S. Bruzón [und weitere] -- Quantum solitons for quantum information and quantum computing / R.K. Bullough, M. Wadati -- Solving renormalization group equations by recursion relations / A. Cafarella, C. Corianò, M. Guzzi -- A tri-Hamiltonian route to spectral curves / L. Degiovanni, G. Magnano -- Construction of real forms of complexified Hamiltonian dynamical systems / V.S. Gerdjikov [und weitere] -- Integrable and super-integrable systems in classical and quantum mechanics / M. Giordano [und weitere] -- Non-commuting coordinates in vortex dynamics and in the Hall effect, related to "exotic" Galilean symmetry / P.A. Horváthy -- Structure of multi-meron knot action / L.S. Isaev, A.P. Protogenov -- Compatible nonlocal Poisson brackets of hydrodynamic type and integrable reductions of the Lamé equations / O.I. Mokhov -- Pseudoanti-Hermiticity in QQM, time-reversal and Kramers degeneracy / G. Scolarici -- On the integrability of supersymmetric equations / P. Tempesta, R.A. Leo, G. Soliani
Book Synopsis On Global Solutions of the Nonlinear Schrödinger and Klein-Gordon Equations by : 林仲夫
Download or read book On Global Solutions of the Nonlinear Schrödinger and Klein-Gordon Equations written by 林仲夫 and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Partial Differential Equations for Scientists and Engineers by : Lokenath Debnath
Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.
Book Synopsis Proceedings of the Euroconference on Nonlinear Klein Gordon and Schrödinger Systems, Theory and Applications by : Luis V'azquez
Download or read book Proceedings of the Euroconference on Nonlinear Klein Gordon and Schrödinger Systems, Theory and Applications written by Luis V'azquez and published by . This book was released on 1996 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete and Continuous Nonlinear Schrödinger Systems by : M. J. Ablowitz
Download or read book Discrete and Continuous Nonlinear Schrödinger Systems written by M. J. Ablowitz and published by Cambridge University Press. This book was released on 2004 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.
Book Synopsis Nonlinear Klein-Gordon and Schroedinger Systems by : Luis Vázquez
Download or read book Nonlinear Klein-Gordon and Schroedinger Systems written by Luis Vázquez and published by . This book was released on 1996 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variational Methods in Nonlinear Field Equations by : Vieri Benci
Download or read book Variational Methods in Nonlinear Field Equations written by Vieri Benci and published by Springer. This book was released on 2014-10-24 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.
Book Synopsis Schrödinger Equation by : Muhammad Bilal Tahir
Download or read book Schrödinger Equation written by Muhammad Bilal Tahir and published by BoD – Books on Demand. This book was released on 2024-01-10 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlock the secrets of the universe with Schrödinger Equation - Fundamental Aspects and Potential Applications. Delve into the heart of quantum mechanics, where matter, energy, and mathematics intertwine in a dance of profound discovery. This essential volume introduces you to the spectral theory of the Schrödinger equation, offering a sturdy foundation to explore its enigmatic depths. Discover the fascinating world of scattering theory, unraveling the intricacies of quantum interactions, while the principles of quantization and Feynman path integrals reveal the mechanics of quantum systems. With a fresh perspective, we explore relative entropy methods and transformation theory, unveiling their significance in crafting singular diffusion processes akin to Schrödinger equations. This well-organized and accessible book caters to a diverse audience, from students and researchers to professionals in functional analysis, probability theory, and quantum dynamics. Within these pages, you’ll uncover the profound wonders of the Schrödinger equation and its vast potential in science, engineering, and technology. Embark on a journey through the quantum cosmos and let your understanding of the universe expand as you explore the quantum realm. Welcome to a world where matter and energy dance to the tune of Schrödinger’s equation, a world filled with infinite possibilities and extraordinary insights.
Book Synopsis Nonlinear Dispersive Equations by : Terence Tao
Download or read book Nonlinear Dispersive Equations written by Terence Tao and published by American Mathematical Soc.. This book was released on with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.".
Book Synopsis Semiconductor Equations by : Peter A. Markowich
Download or read book Semiconductor Equations written by Peter A. Markowich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.
