The Theory of Magnetism II

The Theory of Magnetism II

Author: Daniel C. Mattis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 189

ISBN-13: 3642824056

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What is thermodynamics? What does statistical physics teach us? In the pages of this slim book, we confront the answers. The reader will discover that where thermodynami cs provi des a 1 arge scal e, macroscopi c theory of the ef fects of temperature on physical systems, statistical mechanics provides the microscopic analysis of these effects which, invariably, are the results of thermal disorder. A number of systems in nature undergo dramatic changes in aspect and in their properties when subjected to changes in ambient temperature or pres sure, or when electric or magnetic fields are applied. The ancients already knew that a liquid, a solid, or a gas can represent different states of the same matter. But what is meant by "state"? It is here that the systematic study of magnetic materials has provided one of the best ways of examining this question, which is one of the principal concerns of statistical physics (alias "statistical mechanics") and of modern thermodynamics.


The Theory of Magnetism II

The Theory of Magnetism II

Author: Daniel C. Mattis

Publisher: Springer

Published: 2012-07-05

Total Pages: 184

ISBN-13: 9783642824067

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What is thermodynamics? What does statistical physics teach us? In the pages of this slim book, we confront the answers. The reader will discover that where thermodynami cs provi des a 1 arge scal e, macroscopi c theory of the ef fects of temperature on physical systems, statistical mechanics provides the microscopic analysis of these effects which, invariably, are the results of thermal disorder. A number of systems in nature undergo dramatic changes in aspect and in their properties when subjected to changes in ambient temperature or pres sure, or when electric or magnetic fields are applied. The ancients already knew that a liquid, a solid, or a gas can represent different states of the same matter. But what is meant by "state"? It is here that the systematic study of magnetic materials has provided one of the best ways of examining this question, which is one of the principal concerns of statistical physics (alias "statistical mechanics") and of modern thermodynamics.


THEORY OF MAGNETISM.

THEORY OF MAGNETISM.

Author: Kei Yosida

Publisher: Springer Science & Business Media

Published: 1996

Total Pages: 344

ISBN-13: 9783540606512

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Translated from the Japanese, this title is the first modern book on magnetics, a topic of increasing importance. The book provides the foundation for further development in this field, covering magnetic ions in crystals, and magnetism of spin systems, metals and dilute alloys.


The Theory of Magnetism I

The Theory of Magnetism I

Author: Daniel C. Mattis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 311

ISBN-13: 3642832385

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Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in metals and spin glasses), this book develops the concepts and the mathematical expertise necessary to understand contemporary research in this field. Magnetic systems are important in technology and applied science, but they are also prototypes of more complex mathematical structures of great importance to theoretical physics. These connections are made repeatedly in this volume. After development of the necessary quantum theory of angular momentum and of interacting electron systems, a number of models which have been successful in the interpretation of experimental results are introduced: the Ising model, the Heisenberg model, the Stoner theory, the Kondo phenomenon, and so on. In the second edition the thorough approach and the main features which made the first edition a popular text have been retained. All important theories are worked out in detail using methods and notation that are uniform throughout. Footnotes and an extensive bibliography provide a guide to the original literature. A number of problems test the reader's skill.


Introduction to the Theory of Magnetism

Introduction to the Theory of Magnetism

Author: D. Wagner

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 295

ISBN-13: 1483156680

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Introduction to the Theory of Magnetism is an introductory text on the theory of magnetism. The discussions are organized around diamagnetism, paramagnetism, and ferromagnetism. The exchange interaction and the resulting many-particle problem for a system of atomic spins are also considered, and the properties of this system are examined in several approximations. This book is comprised of three chapters and begins with a review of the fundamental effects of diamagnetism, paying particular attention to the Bohr-van Leeuwen theorem, the Fermi gas, Landau levels, and cyclotron resonance. The diamagnetism of atoms and ions and of electrons is also described, and the magnetic moment of a free electron gas produced by the intrinsic magnetic moment of the electrons is calculated. The next chapter is devoted to the classical theory of paramagnetism and covers the paramagnetism of free electrons, free atoms (rare earths), and atoms in a crystal. Paramagnetic resonance and the Zeeman effect of free atoms are highlighted. The third and last chapter focuses on ferromagnetism and ferromagnetic resonance, together with the molecular-field approximation, spin waves, high temperatures, and the band model. This monograph will be a valuable resource for students of physics.


A Course on Many-body Theory Applied to Solid-state Physics

A Course on Many-body Theory Applied to Solid-state Physics

Author: Charles Paul Enz

Publisher: World Scientific

Published: 1992

Total Pages: 448

ISBN-13: 9789971503369

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The main aim of this book is to give a self-contained and representative cross section through present-day research in solid-state physics. This covers metallic and mesoscopic transport, localization by disorder and superconductivity, including questions related to high-temperature superconductors and to heavy fermion systems. An important part of the book is devoted to itinerant-electron magnetism, discussing paramagnons, strong correlation, magnetization fluctuations and spin density waves. All the formal tools used in these chapters are developed in the first part of the book which contains a thorough discussion of second quantization and of perturbation theory for an arbitrary complex time path and also describes the functional approach to Feynman diagrams including general ward identities. Each chapter contains an extensive list of the relevant literature and a series of problems with detailed solutions which complement the main text. The book is meant both as a course and a research tool.


Introduction to the Theory of Critical Phenomena

Introduction to the Theory of Critical Phenomena

Author: Dimo I. Uzunov

Publisher: World Scientific

Published: 2010

Total Pages: 701

ISBN-13: 9814299499

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This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.