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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."
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."
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.
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."
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.
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.
The Luttinger Model is the only model of many-fermion physics with
legitimate claims to be both exactly and completely solvable. In
several respects it plays the same role in many-body theory as does
the 2D Ising model in statistical physics. Interest in the
Luttinger model has increased steadily ever since its introduction
half a century ago. The present volume starts with reprints of the
seminal papers in which it was originally introduced and solved,
and continues with several contributions setting out the landscape
of the principal advances of the last fifty years and of prominent
new directions.
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