Quantum Many Body Systems In One Dimension
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Quantum Many Body Systems in One Dimension
Author | : Zachary N C Ha |
Publsiher | : World Scientific |
Total Pages | : 168 |
Release | : 1996-09-13 |
Genre | : Science |
ISBN | : 9789814500371 |
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The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t–J models and Hubbard models. The former, the Calogero–Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin–charge separation, in the context of the explicit models. Contents:IntroductionHeisenberg Spin ChainThe 1D Hubbard ModelModels with Inverse-Square ExchangeStrings in Long-Range Interaction ModelElementary Excitations of t-J ModelFractional Statistics in One-Dimension: View from an Exactly Solvable ModelConcluding Remarks Readership: Graduate students, researchers in statistical mechanics, mathematical physics and condensed matter physics. keywords:Quantum;Many-Body;One;Inverse Square;Exchange;Luttinger;Fractional Statistics
Quantum Field Theory of Many Body Systems
Author | : Xiao-Gang Wen |
Publsiher | : OUP Oxford |
Total Pages | : 520 |
Release | : 2004-06-04 |
Genre | : Science |
ISBN | : 9780191523960 |
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For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.
Quantum Theory of Many Body Systems
Author | : Alexandre Zagoskin |
Publsiher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9781461205951 |
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Intended for graduates in physics and related fields, this is a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. The aim is not to be exhaustive, but to present just enough detail to enable students to follow the current research literature or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout the volume, and which therefore provides an ideal testing ground for many-body theories. '
Exactly Solvable Models of Strongly Correlated Electrons
Author | : Vladimir E. Korepin,Fabian H. L. Essler |
Publsiher | : World Scientific |
Total Pages | : 506 |
Release | : 1994 |
Genre | : Technology & Engineering |
ISBN | : 9810215347 |
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Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.
Quantum Field Theory of Many Body Systems
Author | : Xiao-Gang Wen |
Publsiher | : Oxford University Press |
Total Pages | : 520 |
Release | : 2004-06-03 |
Genre | : Science |
ISBN | : 9780198530947 |
Download Quantum Field Theory of Many Body Systems Book in PDF, Epub and Kindle
For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons andfermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods(which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phasetransitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group,bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matterphysics.
Quantum Physics in One Dimension
Author | : Thierry Giamarchi |
Publsiher | : Oxford University Press |
Total Pages | : 441 |
Release | : 2004 |
Genre | : Literary Criticism |
ISBN | : 9780198525004 |
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This volume presents in a pedagogical yet complete way correlated systems in one dimension. After an introduction to the basic concepts of correlated systems, it gives a step-by-step description of the techniques needed to treat one dimension, and discusses the resulting physics.
The Quantum Mechanics of Many Body Systems
Author | : D.J. Thouless |
Publsiher | : Courier Corporation |
Total Pages | : 258 |
Release | : 2014-01-15 |
Genre | : Science |
ISBN | : 9780486493572 |
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"Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.
Many Body Quantum Theory in Condensed Matter Physics
Author | : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg |
Publsiher | : Oxford University Press |
Total Pages | : 458 |
Release | : 2004-09-02 |
Genre | : Science |
ISBN | : 9780198566335 |
Download Many Body Quantum Theory in Condensed Matter Physics Book in PDF, Epub and Kindle
The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.