Daniel C Mattis's Books

The Theory of Magnetism I

Statics and Dynamics

By: Daniel C. Mattis

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The Theory of Magnetism I

Statics and Dynamics

By: Daniel C. Mattis

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.

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311

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642832385

ISBN 13

9783642832383

The Theory of Magnetism II

Thermodynamics and Statistical Mechanics

By: Daniel C. Mattis

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The Theory of Magnetism II

Thermodynamics and Statistical Mechanics

By: Daniel C. Mattis

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.

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189

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Springer Science & Business Media

Published Date

ISBN 10

3642824056

ISBN 13

9783642824050

Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

By: Daniel C Mattis

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Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

By: Daniel C Mattis

This new version of a classic updates much of the material in earlier editions, including the first chapter, on the history of the field. Important modifications reflect major discoveries of the past decades. A historical perspective is maintained throughout. The reader is drawn into the process of discovery: starting with a phenomenon, finding plausible explanations and competing theories — and finally, the solution.The theory of magnetism is practically a metaphor for theoretical physics. The very first quantum many-body theory (Bethe's ansatz) was devised for magnetic chains, just as mean-field theory was invented a century ago by Weiss to explain Curie's Law.The first two chapters of this book are immensely readable, taking us from prehistory to the “spin valves” of the most recent past. Topics in subsequent chapters include: angular momenta and spin (Chapter 3), quantum theory of simple systems, followed by increasingly technical insights into ordered and random systems, thermal fluctuations, phase transitions, chaos and the like. Contemporary developments in nanotechnology now seek to take advantage of the electron's spin as well as of its charge. The time is not far off when nano-circuits made entirely of silicon exhibit such many-body properties as superconductivity or ferromagnetism — without any superconducting materials or magnetic ions being present. The reader of this book will be prepared for such exotic twenty-first century applications.Daniel C Mattis, BS, MS, PhD, Fellow of the American Physical Society (APS), is a frequent lecturer at research institutions and the author of several textbooks and numerous research articles. His expertise includes many-body theory, electrical conductivity, quantum theory of magnetism and most recently, nanotechnology. Prof. Mattis is on the editorial panel for high-temperature superconductivity of the International Journal of Modern Physics B and Modern Physics Letters B, both published by World Scientific. Currently serving as Professor in the Physics department at the University of Utah in Salt Lake City, Utah, USA, at various times he has been visiting Professor at Yale University (New Haven), State University of New York (Buffalo), Temple University (Philadelphia), and served as “Wei-Lun Visiting Professor” at the Chinese University of Hong Kong. A founding member of the “Few-Body Physics” section of the APS, he has also served as Chair of the standing committee of the APS for the “International Freedom of Scientists.”

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585

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World Scientific Publishing Company

Published Date

ISBN 10

9813102225

ISBN 13

9789813102224

Statistical Mechanics Made Simple (2nd Edition)

By: Daniel C Mattis,Robert H Swendsen

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Statistical Mechanics Made Simple (2nd Edition)

By: Daniel C Mattis,Robert H Swendsen

This second edition extends and improves on the first, already an acclaimed and original treatment of statistical concepts insofar as they impact theoretical physics and form the basis of modern thermodynamics. This book illustrates through myriad examples the principles and logic used in extending the simple laws of idealized Newtonian physics and quantum physics into the real world of noise and thermal fluctuations.In response to the many helpful comments by users of the first edition, important features have been added in this second, new and revised edition. These additions allow a more coherent picture of thermal physics to emerge. Benefiting from the expertise of the new co-author, the present edition includes a detailed exposition — occupying two separate chapters — of the renormalization group and Monte-Carlo numerical techniques, and of their applications to the study of phase transitions. Additional figures have been included throughout, as have new problems. A new Appendix presents fully worked-out solutions to representative problems; these illustrate various methodologies that are peculiar to physics at finite temperatures, that is, to statistical physics.This new edition incorporates important aspects of many-body theory and of phase transitions. It should better serve the contemporary student, while offering to the instructor a wider selection of topics from which to craft lectures on topics ranging from thermodynamics and random matrices to thermodynamic Green functions and critical exponents, from the propagation of sound in solids and fluids to the nature of quasiparticles in quantum liquids and in transfer matrices.

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358

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814365386

ISBN 13

9789814365383

Mathematical Physics in One Dimension

Exactly Soluble Models of Interacting Particles

By: Elliott H. Lieb,Daniel C. Mattis

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Mathematical Physics in One Dimension

Exactly Soluble Models of Interacting Particles

By: Elliott H. Lieb,Daniel C. Mattis

Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.

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580

Publisher

Academic Press

Published Date

ISBN 10

1483218562

ISBN 13

9781483218564

The Many-body Problem

An Encyclopedia of Exactly Solved Models in One Dimension

By: Daniel Charles Mattis

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The Many-body Problem

An Encyclopedia of Exactly Solved Models in One Dimension

By: Daniel Charles Mattis

This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space ? such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz ? can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.

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992

Publisher

World Scientific

Published Date

ISBN 10

9810214766

ISBN 13

9789810214760

Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

By: Daniel C Mattis

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Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

By: Daniel C Mattis

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Solve jigsaw puzzle

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Page Count

585

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813102225

ISBN 13

9789813102224

Mathematical Physics in One Dimension

Exactly Soluble Models of Interacting Particles

By: Elliott H. Lieb,Daniel C. Mattis

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Mathematical Physics in One Dimension

Exactly Soluble Models of Interacting Particles

By: Elliott H. Lieb,Daniel C. Mattis

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580

Publisher

Academic Press

Published Date

ISBN 10

1483218562

ISBN 13

9781483218564

The Theory of Magnetism II

Thermodynamics and Statistical Mechanics

By: Daniel C. Mattis

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The Theory of Magnetism II

Thermodynamics and Statistical Mechanics

By: Daniel C. Mattis

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Page Count

184

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Springer

Published Date

ISBN 10

3642824064

ISBN 13

9783642824067

Book's by Daniel C Mattis

The Theory of Magnetism I

The Theory of Magnetism I

The Theory of Magnetism II

The Theory of Magnetism II

Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

Statistical Mechanics Made Simple (2nd Edition)

Statistical Mechanics Made Simple (2nd Edition)

Mathematical Physics in One Dimension

Mathematical Physics in One Dimension

The Many-body Problem

The Many-body Problem

Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods

Mathematical Physics in One Dimension

Mathematical Physics in One Dimension

The Theory of Magnetism II

The Theory of Magnetism II

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