1 edition of **Theory of Nonlinear Lattices** found in the catalog.

- 348 Want to read
- 8 Currently reading

Published
**1989**
by Springer Berlin Heidelberg in Berlin, Heidelberg
.

Written in English

- Mechanics,
- Mathematical physics,
- Physics

Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.

**Edition Notes**

Statement | by Morikazu Toda |

Series | Springer Series in Solid-State Sciences -- 20, Springer series in solid-state sciences -- 20. |

Classifications | |
---|---|

LC Classifications | QC5.53 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (x, 225 pages 40 illustrations). |

Number of Pages | 225 |

ID Numbers | |

Open Library | OL27091756M |

ISBN 10 | 3540183272, 3642832199 |

ISBN 10 | 9783540183273, 9783642832192 |

OCLC/WorldCa | 851392568 |

This book is intended to serve both as an introduction and a reference to spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and applications of these theories to the Toda and Kac-van Moerbeke hierarchy.. Starting from second order difference equations we move on to self-adjoint operators and develop discrete Weyl-Titchmarsh-Kodaira. Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum .

Jacobi Operators and Complete Integrable Nonlinear Lattices by Gerald Teschl. Publisher: American Mathematical Society ISBN/ASIN: ISBN Number of pages: Description: This book is intended to serve both as an introduction and a reference to spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and. Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field.

Chapter 13 in Part VIII: "Optical Lattices" of "Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment," edited by P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-Gonzalez (Springer Series on Atomic, Optical, and Plasma Physics, ) - pages simple, reasonably general, nonlinear system theory could be developed. Hand in hand with this viewpoint was the feeling that many of the approaches useful for linear systems ought to be extensible to the nonlinear theory. This is a key point if the theory is to .

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Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field.

SpecialBrand: Springer-Verlag Berlin Heidelberg. Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

The presentation is coherent and self-contained, starting with pioneering Theory of Nonlinear Lattices book and extending to the most recent advances in the field. Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. Genre/Form: Nichtlineare Kraft: Additional Physical Format: Online version: Toda, Morikazu, Theory of nonlinear lattices. Berlin ; New York: Springer-Verlag, Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the : Morikazu Toda. Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the by: University of Leeds Theory and applications of coupled map lattices Edited by Kunihiko Kaneko The technique of the coupled map lattice (CML) is a rapidly developing field in nonlinear dynamics at present.

This book gives a fully illustrative overview of current research in the field. A CML is a dynamical system in which there is some Cited by: If you want to see lattice theory in action, check out a book on Universal Algebra.

Graetzer wrote such a text, so I imagine (but do not know from experience) that he will have many such examples; I cut my teeth on "Algebras, Lattices, Varieties", which has a gentle introduction to lattice theory from a universal algebraic point of view, followed by many universal algebraic results depending.

Dynamical Theory of Crystal Lattices (The International Series of Monographs on Physics) by Huang Kun, Born, Max and a great selection of related books, art. Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book.

The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the : Morikazu Toda. Dynamical Theory of Crystal Lattices is a book in solid state physics, authored collaboratively by Max Born and Kun Huang.

The book was originally started by Born in c.and was finished in the s by Huang in consultation with Born. The text is considered a classical treatise on the subject of lattice dynamics, phonon theory, and Author: Max Born and Kun Huang. Theory and Practice Lattices, SVP and CVP, have been intensively studied for more than years, both as intrinsic mathemati-cal problems and for applications in pure and applied mathematics, physics and cryptography.

The theoretical study of lattices is often called the Geometry of Numbers, a name bestowed on it by Minkowski in his book File Size: KB. Theory Of Nonlinear Lattices Hardcover – July 7 by Morikazu Toda (Author) out of 5 stars 1 rating.

See all 4 formats and editions Hide other formats and editions. Amazon Price New from Used from Hardcover "Please retry" 5/5(1). scattering theory, oscillation theory and positive solutions, (quasi-)periodic opera-tors, spectral deformations, etc.) typically found in textbooks on Sturm-Liouville operators.

In the case of the Toda lattice a textbook by M. Toda [] exists, but none of the recent advances in the theory of nonlinear lattices are covered there. Both of these classes of complete lattices are studied in domain theory. Further examples of lattices are given for each of the additional properties discussed below.

Examples of non-lattices. Pic. 8: Non-lattice poset: a and b have common lower bounds 0, d, g, h, and i, but none of them is the greatest lower bound.

His main scientific works concern the theoretical physics of condensed matter, namely, the electron theory of metals, the dynamics of crystal lattice, the theory of dislocations and point defects in solids, and the nonlinear dynamics of magnetization in magnetically ordered crystals.

In this chapter we present some of the recent studies in the theory of nonlinear waves which bear on the problems of nonlinear lattices. The topics include, among others, a discussion of the problems of integrability, the generalized lattices and the Bethe ansatz.

Some numerical results are also by: 1. the quantum theory of nonlinear optics Download the quantum theory of nonlinear optics or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get the quantum theory of nonlinear optics book now.

This site is like a library. Lattice Theory (Attachment: Algebraic theory) of modern mathematics Books] (a version of a printed)(Chinese Edition)(Old-Used) by RI ] ZHONG SHAN ZHENG ZHU DONG KE CHENG YI and a great selection of related books, art and collectibles available now at The book covers self-accelerating airy beams, integrated photonics based on high index doped-silica glass, linear and nonlinear spatial beam dynamics in photonic lattices and waveguide arrays, the theory of polariton solitons in semiconductor microcavities, and Terahertz waves.

A theory for spatial lattices is presented in a variational setting and conditions restricting stable deformations are discussed. In particular, new results on the second variation of the energy.At the time of its publication this classic text, co-written by the Nobel Laureate Max Born, represented the definitive account of the subject and in many ways it still does.

The book begins with a general discussion of the statistical mechanics of ideal lattices, leading to the electric polarizability and to the scattering of light. It then provides detailed discussions of long lattice waves.Lattice Algebra: Theory and Applications Prof.

Gerhard Ritter CISE Department, University of Florida Lattices Deﬁnition: A lattice is a partially ordered set Lsuch that for any two elements x,y∈ L, glb{x,y} and The theory of ℓ-groups,sℓ-groups,sℓ-semigroups, ℓ-vector spaces, etc.

provides an extremely rich File Size: 1MB.