Graduate Texts in Contemporary Physics – serie

Quantum field theory, which started with Paul Dirac�s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity.Quantum Field Theory: A Modern Perspective presents Professor Nair�s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY.The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic.Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject.V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology.

This classic text provides a comprehensive exposition of the concepts and techniques of quantum mechanics. The phenomena treated are sufficiently simple to allow the student to readily assess the validity of the models so that attention is not deflected from the heart of the subject. To that end, the book concentrates on systems that can either be solved exactly or be handled by well-controlled, plausible approximations. With few exceptions, this means systems with a small number of degrees of freedom. The exceptions are many -- electron atoms, the electromagnetic field and the Dirac equation. The inclusion of the last two topics reflects the belief that every physicist should now have some knowledge of these cornerstones of modern physics. This new edition has been completely revised and rewritten throughout, but retains the clarity and readability of the first edition. Born in Vienna, Kurt Gottfried emigrated to Canada in 1939 and received his Ph.D. in theoretical physics from the Massachusetts Institute of Technology in 1955. He is a professor emeritus of physics at Cornell University, and had previously been at Harvard University and at CERN in Geneva, Switzerland.He is the coauthor of Concepts of Particle Physics (with V.F. Weisskopf) and of Crisis Stability and Nuclear War. Gottfried has done research in both nuclear and particle physics; he has an active interest in arms control and human rights and is a founder and currently the Chair of the Union of Concerned Scientists. Tung-Mow Yan, originally from Taiwan, received his Ph.D. in theoretical physics from Harvard University in 1968. He has been a member of the Cornell University faculty since 1970 after spending two years as a research associate at the Stanford Linear Accelerator Center. He has conducted research in many areas of elementary particle physics. "A Classic Textbook Returns to the Classroom", William Harper, Physics Today

This book emphasizes the role that electron interactions play in the properties of condensed matter. It teaches the use of the powerful nonperturbative techniques that have become available in the last decades to discuss such topics as mixed valence systems, Kondo systems, heavy electrons, high-temperature copper oxide superconductors, the quantum Hall effect, and low-dimensional isotropic magnets. Mathematical derivations are self contained. Appendices provide standard many-body tools including second quantization, Grassmann variables, generating functionals, linear response, correlation functions, Fermi and Bose coherent-states path integrals, Matsubara representation, and the method of steepest descents. There are guided bibliographies and exercises at the end of each chapter.

Building on Wilson's renormalization group, the authors have developed a unified approach that not only reproduces known results but also yields new results. A systematic exposition of the contemporary theory of phase transitions, the book includes detailed discussions of phenomena in Heisenberg magnets, granular super-conducting alloys, anisotropic systems of dipoles, and liquid-vapor transitions. Suitable for advanced undergraduates as well as graduate students in physics, the text assumes some knowledge of statistical mechanics, but is otherwise self-contained.

Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics.

Intended for beginning graduate students or advanced undergraduates, this text covers the statistical basis of equilibrium thermodynamics, both classical and quantum, including examples from solid-state physics. It also treats some topics of more recent interest such as phase transitions and non-equilibrium phenomena. The approach to equilibrium statistical mechanics is based on the Gibbs microcanonical ensemble. The presentation introduces modern ideas, such as the thermodynamic limit and the equivalence of ensembles, and uses simple models (ideal gas, Einstein solid, ideal paramagnet) to make the mathematical ideas clear. Frequently used mathematical methods are reviewed in an appendix. The book begins with a review of statistical methods and classical thermodynamics, making it suitable for students from a variety of backgrounds. Classical thermodynamics is treated in the in the context of the classical ideal gas and the canonical and grand canonical ensembles. The discussion of quantum statistical mechanics includes Bose and Fermi gases. the Bose-Einstein condensation, phonons and magnons. Phase transitions are first treated classically (using the van der Waals and Curie-Weiss phenomenological models as examples), and then quantum mechanically (the Ising model, scaling theory and renormalization). The book concludes with two chapters on nonequilibrium phenomena: one using Boltzmann's approach, the other based on stochastic models. Exercises at the end of each chapter are an integral part of the course, clarifying and extending topics discussed in the text. Hints and solutions can be found on the author's web site.

This text develops quantum theory from its basic assumptions, beginning with statics, followed by dynamics and details of applications and the needed computational techniques. The discussion is based on the view that the fundamental entities of the universe are not particles but fields, with the observed particles arising as their quanta. Quantum fields are thus introduced from the beginning, with a discussion of how they produce quanta that manifest themselves as particles. Most of the book, of course, deals with particle systems, as that is where most of the applications lie; the treatment of quantum field theory is confined to fundamental ideas and their consequences. For developing quantum dynamics, the author uses the Lagrangian technique with the principle of stationary action. The roots of this approach, which includes generating the canonical commutation rules, go back to a course taught by Julian Schwinger, filtered through many years of the authors own teaching.The text emphasizes that the wave function does not exist in physical three-dimensional space, but in configuration space, and it points out that the probabilistic features of the theory arise not from a lack of determinism but from the definition of the "state" of a system, so that many, though not all, of the counterintuitive aspects of quantum mechanics arise from its probabilistic nature and are shared by other probabilistic theories such as classical statistical mechanics.

Derived from a course given at the University of Maryland for advanced graduate students, this book deals with some of the latest developments in our attempts to construct a unified theory of the fundamental interactions of nature. Among the topics covered are spontaneous symmetry breaking, grand unified theories, supersymmetry, and supergravity. the book starts with a quick review of elementary particle theory and continues with a discussion of composite quarks, leptons, Higgs bosons, and CP violation; it concludes with consideration of supersymmetric unification schemes, in which bosons and leptons are considered in some sense equivalent. The third edition will be completely revised and brought up to date, particularly by including discussions of the many experimental developments in recent years.

Intended for advanced students of physics, chemistry, and related disciplines, this text treats the quantum theory of atoms and ions within the framework of self-consistent fields. It treats the structure and spectra of atoms and ions, their behavior in external fields, and their interactions, including collisions. Data needed for the analysis of collisions and other atomic processes are also included, making the book useful as a reference for researchers as well as students. In the main text, simple and convincing methods are used to explain the fundamental properties of atoms, molecules, and clusters; details and more advanced aspects of these topics are treated in the problems at the end of each chapter. The first part of the book is devoted to properties of atoms and ions considered as quantum systems of electrons orbiting a heavy Coulomb center. Self-consistent fields and the shell model give a logical and consistent picture, and provide reliable models for the analysis of atomic properties. The second part deals with interactions and collisions of particles -- including bound systems, such as molecules, clusters, and solids.The aim here is to relate the internal structure of the atoms to the interactions between them, providing useful insights for applications; the accompanying data in tables, charts, and spectra complement the theoretical discussion.

Kinetic Theory: Classical, Quantum, and Relativistic Descriptions goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. Its clear exposition and emphasis on concrete examples will make it not only an excellent graduate text but also a valuable resource for researchers in such disciplines as aerospace, mechanical, and chemical engineering; astrophysics, solid state and laser physics and devices, plasma physics, and controlled and thermonuclear fusion.Among the topics covered are: - The Liouville equation and analyses of the Liouville equation, including two independent derivations- The Boltzmann equation and Boltzmann's H-theorem- Analysis of the linearized collision operator- Fluid dynamics and irreversibility- Assorted kinetic equations with applications to plasmas and neutral fluids- Elements of quantum kinetic theory, including the Green's-function formalism and the Wigner-Moyal equation- Relativistic kinetic theory and Lorentz invariants- Kinetic properties of metals and amorphous media- Monte-Carlo analysis in kinetic theory- Kinetic study of shock wavesThis third revised edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.

This classic text provides a comprehensive exposition of the concepts and techniques of quantum mechanics. The phenomena treated are sufficiently simple to allow the student to readily assess the validity of the models so that attention is not deflected from the heart of the subject. To that end, the book concentrates on systems that can either be solved exactly or be handled by well-controlled, plausible approximations. With few exceptions, this means systems with a small number of degrees of freedom. The exceptions are many -- electron atoms, the electromagnetic field and the Dirac equation. The inclusion of the last two topics reflects the belief that every physicist should now have some knowledge of these cornerstones of modern physics. This new edition has been completely revised and rewritten throughout, but retains the clarity and readability of the first edition. Born in Vienna, Kurt Gottfried emigrated to Canada in 1939 and received his Ph.D. in theoretical physics from the Massachusetts Institute of Technology in 1955. He is a professor emeritus of physics at Cornell University, and had previously been at Harvard University and at CERN in Geneva, Switzerland.He is the coauthor of Concepts of Particle Physics (with V.F. Weisskopf) and of Crisis Stability and Nuclear War. Gottfried has done research in both nuclear and particle physics; he has an active interest in arms control and human rights and is a founder and currently the Chair of the Union of Concerned Scientists. Tung-Mow Yan, originally from Taiwan, received his Ph.D. in theoretical physics from Harvard University in 1968. He has been a member of the Cornell University faculty since 1970 after spending two years as a research associate at the Stanford Linear Accelerator Center. He has conducted research in many areas of elementary particle physics. "A Classic Textbook Returns to the Classroom", William Harper, Physics Today

After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory and the theoretical basis as well as the implications of the discovery of the Quantum Hall effect on superconductivity, superfluidity, and metrology, including experimentation. The second half of this volume is concerned with the theory of and experiments on the many body problem posed by fractional effect. Specific unsolved problems are mentioned throughout the book and a summary is made in the final chapter.The quantum Hall effect was discovered on about the hundredth anniversary of Hall's original work, and the finding was announced in 1980 by von Klitzing, Dorda and Pepper. Klaus von KIitzing was awarded the 1985 Nobel prize in physics for this discovery.

This second edition of Geometry, Particles and Fields is a direct reprint of the first edition. From a review of the first edition: "The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics...It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics...The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler...Felsager gives a very clear presentation of the use of geometric methods in particle physics...For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also.I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." PHYSICS TODAY Bjoern Felsager is a high school teacher in Copenhagen. Educated at the Niels Bohr Institute, he has taught at the Universities of Copenhagen and Odense.

This book provides the theoretical basis and the relevant experimental knowledge underlying our present understanding of the electrical and optical properties of semiconductor heterostructures. Although such structures have been known since the 1940s, it was only in the 1980s that they moved to the forefront of research, largely due to technological developments that made it possible to grow several ultrathin layers of different materials _ down to a few atoms in thickness _ on top of a silicon or other substrates. The resulting structures have remarkable properties not shared by bulk materials. One can, for example, confine the motions of electrons to a single layer, making it possible to investigate effectively two-dimensional systems. One can also build materials with large-scale periodicities by alternating layers of different compositions, thereby modulating the optical and electronic properties of the resulting structure. The text begins with a description of the electronic properties of various types of heterostructures, including discussions of complex band-structure effects, localized states, tunneling phenomena, and excitonic states.The focus of most of the remainder of the book is on optical properties, including intraband absorption, luminescence and recombination, Raman scattering, subband optical transitions, nonlinear effects, and ultrafast optical phenomena. The concluding chapter presents an overview of some of the applications that make use of the physics discussed. Appendices provide ackground information on band structure theoy, kinetic theory, electromagnetic modes, and Coulomb effects. Intended for graduate students, physicists, and engineers beginning research on semiconductor heterostructures or interested in their

Superstrings - provocative, controversial, possibly untestable, but unarguably one of the most interesting and active areas of research in current physics. Called by some, "the theory of everything", superstrings may solve a problem which has eluded physicists for the past 50 years - the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. Now, here is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: - string field theory - multi loops - Teichmueller spaces - conformal field theory - four-dimensional strings The book begins with a simple discussion of point particle theory, and uses the Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with quantum mechanics and relativity. This second edition has been revised and updated throughout.

Laser cooling is a technique that has led to insights into the behavior of atoms as well as confirming with striking detail some of the fundamental notions of quantum mechanics. This text presents a review of the relevant results of quantum mechanics.

Laser cooling is a relatively new technique that has led to insights into the behavior of atoms as well as confirming with striking detail some of the fundamental notions of quantum mechanics, such as the condensation predicted by S.N. Bose. This elegant technique, whereby atoms, molecules, and even microscopic beads of glass, are trapped in small regions of free space by beams of light and subsequently moved at will using other beams, provides a useful research tool for the study of individual atoms and clusters of atoms, for investigating the details of chemical reactions, and even for determining the physical properties of individual macromolecules such as synthetic polymers and DNA. Intended for advanced undergraduates and beginning graduate students who have some basic knowledge of optics and quantum mechanics, this text begins with a review of the relevant results of quantum mechanics, it then turns to the electromagnetic interactions involved in slowing and trapping atoms and ions, in both magnetic and optical traps.The concluding chapters discuss a broad range of applications, from atomic clocks and studies of collision processes to diffraction and interference of atomic beams at optical lattices and Bose-Einstein condensation.

This book discusses small particles or clusters of atoms, molecules, as well as systems consisting of them. These are systems too large to be analyzed by the methods of particle dynamics, but too small to treated by the standard statistical techniques. The goal is to analyze the properties of such finite aggregates and their behavior in gases and plasmas, and to investigate processes that involve such clusters. The presentation is based on lectures and seminar problems for graduate students; the main part of the book thus includes more than 200 problems, each of them illustrating a specific aspect of finite systems of bound atoms and their behavior in gases and plasmas. Topics covered include: collisions, charge transfer, chemical reactions, condensed systems and their structures, kinetics of cluster growth, excited clusters, the transition from clusters to bulk particles, and small particles, dust, and aerosols in plasmas. Some reference data for corresponding parameters of systems under consideration are given in the problems and in the appendices. The book will be of interest to physicists, astrophysicists, and chemists.

This book describes general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. It is intended for researchers and graduate students involved in calculations of the electronic structure of materials, but will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. Multiple scattering theory is, in essence, an extension of Huygens's principle to quantum mechanics. In classical physics, it was introduced by Rayleigh to study propagation of heat and electricity in inhomogeneous media. In quantum theory it has been used to study a number of different phenomena, including LEED spectra, defects in crystalline and disordered media, transport phenomena, photoemission spectroscopy, and electronic-structure calculations. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state (muffin-tin potentials and space-filling cells).The authors then present a variational derivation of the formalism and an augmented version of the theory. It concludes with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.

String theory continues to progress at an astonishing rate, and this book brings the reader up to date with the latest developments and the most active areas of research in the field. Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string theories, knot theory, the Yang-Baxter relation, quantum groups, and the insights into 11-dimensional strings recently obtained from M-theory. New chapters discuss such topics as Seiberg- Witten theory, M theory and duality., and D-branes. Several chapters review the fundamentals of string theory, making the presentation of the material self-contained while keeping overlap with the earlier book to a minimum. This book conveys the vitality of the current research and places readers at its forefront.

This book is intended to provide a general introduction to the physics of quantized fields and many-body physics. It is based on a two-semester sequence of courses taught at the University of Illinois at Urbana-Champaign at various times between 1985 and 1997. The students taking all or part of the sequence had interests ranging from particle and nuclear theory through quantum optics to condensed matter physics experiment. The book does not cover as much ground as some texts. This is because I have tried to concentrate on the basic conceptual issues that many students find difficult. For a computation-method oriented course an instructor would probably wish to suplement this book with a more comprehensive and specialized text such as Peskin and Schroeder An Introduction to Quantum Field Theory, which is intended for particle theorists, or perhaps the venerable Quantum Theory of Many-Particle Systems by Fetter and Walecka. The most natural distribution of the material if the book is used for a two-semster course is as follows: 1 st Semester: Chapters 1-11. 2nd semester: Chapters 12-18.

This textbook for graduate students and advanced undergraduates in physics and physical chemistry covers the major areas of statistical mechanics and concludes with a demonstration of applications of statistical mechanics at the level of current research. The presentation begins with the fundamental ideas of averages and ensembles, focusing on classical systems described by continuous variables such as position and momentum, and using the ideal gas as an example. It then turns to quantum systems, beginning with diatomic molecules and working up through blackbody radiation and chemical equilibria. The discussion of equilibrium properties of systems of interacting particles includes presents such techniques as cluster expansions and distribution functions and uses non-ideal gases, liquids, and solutions as examples. Dynamic behavior - treated more extensively than in other texts - is discussed from the point of view of correlation functions. The text concludes with a problem of current research, namely diffusion in a suspension of interacting hard spheres and what can be learned about such a system from scattered light.Intended for a one-semester course, the text includes several "asides" on topics that are usually omitted from introductory courses, as well as numerous problems at the ends of chapters.

Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphsizing symmetry principles throughout. After an introduction of the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scattering theory, and time-dependent perturbation theory. It concludes with several lectures on relativistic quantum mechanics and on many-body theory

Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity.Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to abetter understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject.V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology.

Intended for beginning graduate students or advanced undergraduates, this text covers the statistical basis of equilibrium thermodynamics, both classical and quantum, including examples from solid-state physics. It also treats some topics of more recent interest such as phase transitions and non-equilibrium phenomena. The approach to equilibrium statistical mechanics is based on the Gibbs microcanonical ensemble. The presentation introduces modern ideas, such as the thermodynamic limit and the equivalence of ensembles, and uses simple models (ideal gas, Einstein solid, ideal paramagnet) to make the mathematical ideas clear. Frequently used mathematical methods are reviewed in an appendix. The book begins with a review of statistical methods and classical thermodynamics, making it suitable for students from a variety of backgrounds. Classical thermodynamics is treated in the in the context of the classical ideal gas and the canonical and grand canonical ensembles. The discussion of quantum statistical mechanics includes Bose and Fermi gases. the Bose-Einstein condensation, phonons and magnons. Phase transitions are first treated classically (using the van der Waals and Curie-Weiss phenomenological models as examples), and then quantum mechanically (the Ising model, scaling theory and renormalization). The book concludes with two chapters on nonequilibrium phenomena: one using Boltzmann's approach, the other based on stochastic models. Exercises at the end of each chapter are an integral part of the course, clarifying and extending topics discussed in the text. Hints and solutions can be found on the author's web site.

The combination of quantum mechanics and quantum ?eld theory cons- tutesthemostrevolutionaryandin?uentialphysicaltheoryofthetwentieth century. Itsimpactisfeltnotonlyinalmostallothersciences,butthefruits of its application are ubiquitous in everyday life. This textbook is designed to teach graduate students the underlying quantum-physical ideas, their mathematical formulations, and the basic problem-solving techniques of the discipline. It assumes they have taken at least one introductory course in quantum mechanics as undergraduates and are familiar with the history of the subject and the basic experimental evidence that led to its adoption, as well as with many of its fundamental notions. In contrast to most other authors, I am therefore not introducing the quantum theory via an hist- ical survey of its early successes. Instead, following the models of books on classsical mechanics or electromagnetism, I develop the theory from its basic assumptions, beginning with statics, followed by the dynamics and details of its speci?c areas of use as well as the needed mathematical te- niques. Although this book, inevitably, deals largely with the behavior of point particles under various conditions, I do not regard particles as the fun- mental entities of the universe: the most basic object is the quantum ?eld, with theobserved particlesarising from the?eld asitsquanta. For thisr- son I introduce quantum ?elds right from the beginning and demonstrate, in the ?rst chapter, how particles originate.

Derived from a course given at the University of Maryland for advanced graduate students, this book deals with some of the latest developments in our attempts to construct a unified theory of the fundamental interactions of nature. Among the topics covered are spontaneous symmetry breaking, grand unified theories, supersymmetry, and supergravity. the book starts with a quick review of elementary particle theory and continues with a discussion of composite quarks, leptons, Higgs bosons, and CP violation; it concludes with consideration of supersymmetric unification schemes, in which bosons and leptons are considered in some sense equivalent. The third edition will be completely revised and brought up to date, particularly by including discussions of the many experimental developments in recent years.

Intended for advanced students of physics, chemistry, and related disciplines, this text treats the quantum theory of atoms and ions within the framework of self-consistent fields. It treats the structure and spectra of atoms and ions, their behavior in external fields, and their interactions, including collisions. Data needed for the analysis of collisions and other atomic processes are also included, making the book useful as a reference for researchers as well as students. In the main text, simple and convincing methods are used to explain the fundamental properties of atoms, molecules, and clusters; details and more advanced aspects of these topics are treated in the problems at the end of each chapter. The first part of the book is devoted to properties of atoms and ions considered as quantum systems of electrons orbiting a heavy Coulomb center. Self-consistent fields and the shell model give a logical and consistent picture, and provide reliable models for the analysis of atomic properties. The second part deals with interactions and collisions of particles -- including bound systems, such as molecules, clusters, and solids. The aim here is to relate the internal structure of the atoms to the interactions between them, providing useful insights for applications; the accompanying data in tables, charts, and spectra complement the theoretical discussion.

Kinetic Theory: Classical, Quantum, and Relativistic Descriptions goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. Its clear exposition and emphasis on concrete examples will make it not only an excellent graduate text but also a valuable resource for researchers in such disciplines as aerospace, mechanical, and chemical engineering; astrophysics, solid state and laser physics and devices, plasma physics, and controlled and thermonuclear fusion.Among the topics covered are: - The Liouville equation and analyses of the Liouville equation, including two independent derivations- The Boltzmann equation and Boltzmann's H-theorem- Analysis of the linearized collision operator- Fluid dynamics and irreversibility- Assorted kinetic equations with applications to plasmas and neutral fluids- Elements of quantum kinetic theory, including the Green's-function formalism and the Wigner-Moyal equation- Relativistic kinetic theory and Lorentz invariants- Kinetic properties of metals and amorphous media- Monte-Carlo analysis in kinetic theory- Kinetic study of shock wavesThis third revised edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.