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From Nonlinearity to Coherence : Universal Features of Nonlinear Behaviour in Many-body Physics - J. M. Dixon

From Nonlinearity to Coherence

Universal Features of Nonlinear Behaviour in Many-body Physics

Hardcover Published: 1st March 1997
ISBN: 9780198539728
Number Of Pages: 624

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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 of condensed 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 nonlinear problems 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 nonlinear differential 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 research methods in theoretical physics in general.

Premable 1: Introductory concepts 2: Phase transitions and criticality 3: Elementary excitations in solids 4: Quantum field theory background 5: The method of coherent structures (MCS) 6: The physical application of MCS 7: Mathematical methods and results 8: Concusions 6 appendices

ISBN: 9780198539728
ISBN-10: 019853972X
Series: Oxford Science Publications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 624
Published: 1st March 1997
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 3.96
Weight (kg): 1.04