From Nonlinearity to Coherence: Universal Features of Nonlinear Behaviour in Many-body Physics

Hardcover | May 1, 1997

byJ. M. Dixon, J. A. Tuszynski, P. A. Clarkson

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Nonlinear physics has been growing at an astounding rate over the past two decades and has changed its character from a collection of exotic examples of nonstandard behaviour to an all-embracing scientific methodology. This practical hands-on guide provides an overview of the features ofcondensed matter systems. This book provides self-contained background material, however the centrepiece of the text is the chapter dealing with a systematic development of nonlinear field equations for many-body systems. In order to equip the reader with concrete skills in tackling nonlinearproblems in physics, the authors analyse in great detail several important applications such as metamagnetism, superconductivity, the Hubbard Hamiltonian and the multi-electron atom to name a few. A separate mathematical chapter shows in an easy-to-follow manner how the various integrable nonlineardifferential equations that arise in physics can be solved analytically. This book will serve as a compendium of facts and references related to the subject area of nonlinear condensed matter physics. In addition, it can be used as practical introduction into currently developed nonlinear researchmethods in theoretical physics in general.

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Nonlinear physics has been growing at an astounding rate over the past two decades and has changed its character from a collection of exotic examples of nonstandard behaviour to an all-embracing scientific methodology. This practical hands-on guide provides an overview of the features ofcondensed matter systems. This book provides self...

J. M. Dixon is at University of Warwick. J. A. Tuszynski is at University of Alberta.

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Format:HardcoverDimensions:624 pages, 9.21 × 6.14 × 1.5 inPublished:May 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019853972X

ISBN - 13:9780198539728

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Table of Contents

Premable1. Introductory concepts2. Phase transitions and criticality3. Elementary excitations in solids4. Quantum field theory background5. The method of coherent structures (MCS)6. The physical application of MCS7. Mathematical methods and results8. Concusions6 appendices