Author: Luis Vazquez
Publisher: World Scientific
ISBN: 981454809X
Category :
Languages : en
Pages : 382
Book Description
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.
Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications
Author: Luis Vazquez
Publisher: World Scientific
ISBN: 981454809X
Category :
Languages : en
Pages : 382
Book Description
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.
Publisher: World Scientific
ISBN: 981454809X
Category :
Languages : en
Pages : 382
Book Description
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.
Quantum Mechanics In Nonlinear Systems
Author: Xiao-feng Pang
Publisher: World Scientific
ISBN: 9814481238
Category : Science
Languages : en
Pages : 644
Book Description
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.
Publisher: World Scientific
ISBN: 9814481238
Category : Science
Languages : en
Pages : 644
Book Description
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.
Nonlinear Klein-Gordon and Schroedinger Systems
Author: Luis Vázquez
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810225650
Category : Science
Languages : en
Pages : 363
Book Description
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810225650
Category : Science
Languages : en
Pages : 363
Book Description
Proceedings of the Workshop Nonlinear Physics, Theory and Experiment, II
Author: Mark J. Ablowitz
Publisher: World Scientific
ISBN: 9812382704
Category : Science
Languages : en
Pages : 438
Book Description
The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems ? both continuous and discrete) and experiment (with special discussions on high bit rate optical communications and pulse dynamics in optical materials).
Publisher: World Scientific
ISBN: 9812382704
Category : Science
Languages : en
Pages : 438
Book Description
The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems ? both continuous and discrete) and experiment (with special discussions on high bit rate optical communications and pulse dynamics in optical materials).
Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems
Author: Luis.. Vásquez
Publisher:
ISBN:
Category :
Languages : en
Pages : 363
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 363
Book Description
Numerical studies of nonlinear Schrödinger and Klein-Gordon systems
Author: Dae-il Choi
Publisher:
ISBN:
Category : Schrödinger equation
Languages : en
Pages : 324
Book Description
Publisher:
ISBN:
Category : Schrödinger equation
Languages : en
Pages : 324
Book Description
Nonlinear Partial Differential Equations for Scientists and Engineers
Author: Lokenath Debnath
Publisher: Springer Science & Business Media
ISBN: 0817644180
Category : Mathematics
Languages : en
Pages : 751
Book Description
This expanded, revised edition is a thorough and systematic treatment of linear and nonlinear partial differential equations and their varied applications. It contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, make the book useful for a diverse readership including graduates, researchers, and professionals in mathematics, physics and engineering.
Publisher: Springer Science & Business Media
ISBN: 0817644180
Category : Mathematics
Languages : en
Pages : 751
Book Description
This expanded, revised edition is a thorough and systematic treatment of linear and nonlinear partial differential equations and their varied applications. It contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, make the book useful for a diverse readership including graduates, researchers, and professionals in mathematics, physics and engineering.
Schrödinger Equations in Nonlinear Systems
Author: Wu-Ming Liu
Publisher: Springer
ISBN: 9811365814
Category : Science
Languages : en
Pages : 569
Book Description
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.
Publisher: Springer
ISBN: 9811365814
Category : Science
Languages : en
Pages : 569
Book Description
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.
Nonlinear Klein-Gordon and Schrodinger Systems
Author:
Publisher:
ISBN: 9789814531429
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9789814531429
Category :
Languages : en
Pages :
Book Description
Discrete and Continuous Nonlinear Schrödinger Systems
Author: M. J. Ablowitz
Publisher: Cambridge University Press
ISBN: 9780521534376
Category : Mathematics
Languages : en
Pages : 276
Book Description
This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.
Publisher: Cambridge University Press
ISBN: 9780521534376
Category : Mathematics
Languages : en
Pages : 276
Book Description
This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.