Condensed Matter Physics and Exactly Soluble Models

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Publisher : Springer Science & Business Media
ISBN 13 : 3662063905
Total Pages : 645 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Condensed Matter Physics and Exactly Soluble Models by : Elliott H. Lieb

Download or read book Condensed Matter Physics and Exactly Soluble Models written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third Selecta of publications of Elliott Lieb, the first two being Stabil ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai. A companion fourth Selecta on Statistical Mechanics is also edited by us. Elliott Lieb has been a pioneer of the discipline of mathematical physics as it is nowadays understood and continues to lead several of its most active directions today. For the first part of this selecta we have made a selection of Lieb's works on Condensed Matter Physics. The impact of Lieb's work in mathematical con densed matter physics is unrivaled. It is fair to say that if one were to name a founding father of the field, Elliott Lieb would be the only candidate to claim this singular position. While in related fields, such as Statistical Mechanics and Atomic Physics, many key problems are readily formulated in unambiguous mathematical form, this is less so in Condensed Matter Physics, where some say that rigor is "probably impossible and certainly unnecessary". By carefully select ing the most important questions and formulating them as well-defined mathemat ical problems, and then solving a good number of them, Lieb has demonstrated the quoted opinion to be erroneous on both counts. What is true, however, is that many of these problems turn out to be very hard. It is not unusual that they take a decade (even several decades) to solve.

Exactly Solvable Models of Strongly Correlated Electrons

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Publisher : World Scientific
ISBN 13 : 9789810215347
Total Pages : 506 pages
Book Rating : 4.2/5 (153 download)

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Book Synopsis Exactly Solvable Models of Strongly Correlated Electrons by : Vladimir E. Korepin

Download or read book Exactly Solvable Models of Strongly Correlated Electrons written by Vladimir E. Korepin and published by World Scientific. This book was released on 1994 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Physics of Condensed Matter

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Publisher : Academic Press
ISBN 13 : 0123849551
Total Pages : 689 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Physics of Condensed Matter by : Prasanta Misra

Download or read book Physics of Condensed Matter written by Prasanta Misra and published by Academic Press. This book was released on 2011-01-26 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics of Condensed Matter is designed for a two-semester graduate course on condensed matter physics for students in physics and materials science. While the book offers fundamental ideas and topic areas of condensed matter physics, it also includes many recent topics of interest on which graduate students may choose to do further research. The text can also be used as a one-semester course for advanced undergraduate majors in physics, materials science, solid state chemistry, and electrical engineering, because it offers a breadth of topics applicable to these majors. The book begins with a clear, coherent picture of simple models of solids and properties and progresses to more advanced properties and topics later in the book. It offers a comprehensive account of the modern topics in condensed matter physics by including introductory accounts of the areas of research in which intense research is underway. The book assumes a working knowledge of quantum mechanics, statistical mechanics, electricity and magnetism and Green's function formalism (for the second-semester curriculum). Covers many advanced topics and recent developments in condensed matter physics which are not included in other texts and are hot areas: Spintronics, Heavy fermions, Metallic nanoclusters, Zno, Graphene and graphene-based electronic, Quantum hall effect, High temperature superdonductivity, Nanotechnology Offers a diverse number of Experimental techniques clearly simplified Features end of chapter problems

Mathematical Physics in One Dimension

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Publisher : Academic Press
ISBN 13 : 1483218562
Total Pages : 580 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Physics in One Dimension by : Elliott H. Lieb

Download or read book Mathematical Physics in One Dimension written by Elliott H. Lieb and published by Academic Press. This book was released on 2013-09-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classical And Quantum Field Theory Of Exactly Soluble Nonlinear Systems

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Publisher : World Scientific
ISBN 13 : 9814513571
Total Pages : 260 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Classical And Quantum Field Theory Of Exactly Soluble Nonlinear Systems by : Piotr Garbaczewski

Download or read book Classical And Quantum Field Theory Of Exactly Soluble Nonlinear Systems written by Piotr Garbaczewski and published by World Scientific. This book was released on 1985-07-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Nonlinear Problems in 1 + 1 and Their LinearizationClassical Field Theory ModelsHamiltonian Formulation, Action-Angle Variables, Solitons, Classical Lattice Models and Lattice Approximants of Classical FieldsQuantization on a Lattice: Relationship Classical-QuantumQuantization on a Lattice: Simple Bose ModelsSpin 1/2 Lattice Systems Related to Nonlinear Bose Problems: Lattice FermionsQuantization in Continuum: Joint Bose-Fermi Spectral Problems in 1 + 1Quantum Meaning of Classical Field Theory for Fermi SystemsOn Infinite Constituent “Elementary” Systems: Canonical (Constituent) Quantization of Soliton FieldsTowards 1 + 3: Problems and Prospects Readership: Mathematical physicists and physicists. Keywords:Nonlinear Fields;Integrability;Solvable Models;Solitons;Continuum and Lattice Models;Quantization;Fermi Fields And Their Classical Counterparts;Relationship Classical-Quantum;Boson-Fermion Reciprocity (Bosonization)

Many-Body Quantum Theory in Condensed Matter Physics

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Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Condensed Matter in a Nutshell

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Publisher : Princeton University Press
ISBN 13 : 0691140162
Total Pages : 592 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Condensed Matter in a Nutshell by : Gerald D. Mahan

Download or read book Condensed Matter in a Nutshell written by Gerald D. Mahan and published by Princeton University Press. This book was released on 2011 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the area of condensed matter in a nutshell. This textbook covers the standard topics, including crystal structures, energy bands, phonons, optical properties, ferroelectricity, superconductivity, and magnetism.

The Hubbard Model

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Publisher : Springer Science & Business Media
ISBN 13 : 1489910425
Total Pages : 408 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Hubbard Model by : Dionys Baeriswyl

Download or read book The Hubbard Model written by Dionys Baeriswyl and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).

Condensed-Matter and Materials Physics

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Publisher : National Academies Press
ISBN 13 : 0309063493
Total Pages : 325 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Condensed-Matter and Materials Physics by : National Research Council

Download or read book Condensed-Matter and Materials Physics written by National Research Council and published by National Academies Press. This book was released on 1999-05-21 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies opportunities, priorities, and challenges for the field of condensed-matter and materials physics. It highlights exciting recent scientific and technological developments and their societal impact and identifies outstanding questions for future research. Topics range from the science of modern technology to new materials and structures, novel quantum phenomena, nonequilibrium physics, soft condensed matter, and new experimental and computational tools. The book also addresses structural challenges for the field, including nurturing its intellectual vitality, maintaining a healthy mixture of large and small research facilities, improving the field's integration with other disciplines, and developing new ways for scientists in academia, government laboratories, and industry to work together. It will be of interest to scientists, educators, students, and policymakers.

Modern Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 110713739X
Total Pages : 720 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Modern Condensed Matter Physics by : Steven M. Girvin

Download or read book Modern Condensed Matter Physics written by Steven M. Girvin and published by Cambridge University Press. This book was released on 2019-02-28 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

Principles of Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 1139643053
Total Pages : 724 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Principles of Condensed Matter Physics by : P. M. Chaikin

Download or read book Principles of Condensed Matter Physics written by P. M. Chaikin and published by Cambridge University Press. This book was released on 2000-09-28 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, this book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter, based on symmetries and conservation laws. It explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions, as well as discussing the structure and properties of materials with different symmetries. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalised rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.

Quantum Electron Liquids and High-Tc Superconductivity

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Publisher : Springer Science & Business Media
ISBN 13 : 3540476784
Total Pages : 300 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quantum Electron Liquids and High-Tc Superconductivity by : Jose Gonzalez

Download or read book Quantum Electron Liquids and High-Tc Superconductivity written by Jose Gonzalez and published by Springer Science & Business Media. This book was released on 2008-11-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from a course given at the Univcrsidad Aut6noma of Madrid in the Spring of 1994 and in the Universidad Complutense of Madrid in 1995. The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-1~ superconducting materials. As theoretical physicists, our starting viewpoint to address the problem of strongly correlat ed ferlnion systems and related issues of modern condensed matter physics ·is the renormalization group approach applied both to quantU111 field theory and statistical physics. In recent years this has become not only a powerful tool for retrieving the essential physics of interacting systems but also a link between theoretical physics and modern condensed matter physics. Furthermore, once we have this common background for dealing with apparently different prob lems, we discuss more specific topics and even phenomenological aspects of the field. In doing so we have tried to make the exposition clear and simple, with out entering into technical details but focusing ill the fundamental physics of the phenomena under study. Therefore ,ve expect that our experience ll1ay have some value to other people entering this fascinating field. We have divided these notes into three parts and each part into chapters, which correspond roughly to one or two lectures. Part I, Chaps. 1-2 (A. H. V.

Field Theories in Condensed Matter Physics

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Publisher : CRC Press
ISBN 13 : 9780750308762
Total Pages : 438 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Field Theories in Condensed Matter Physics by : Sumathi Rao

Download or read book Field Theories in Condensed Matter Physics written by Sumathi Rao and published by CRC Press. This book was released on 2002-05-30 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization have become necessary tools for the condensed matter physicist, enough open problems and interesting applications remain to drive much activity in this area in the coming years. Field Theories in Condensed Matter Physics presents a comprehensive survey of the concepts, techniques, and applications of the field. Written by experts and carefully edited, the book provides the necessary background for graduate students entering the area of modern condensed matter physics. It also supplies field theorists with a valuable introduction to the areas in condensed matter physics where field theoretic concepts can be fruitfully applied.

Condensed Matter Physics in the Prime of the 21st Century

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Publisher : World Scientific
ISBN 13 : 9812709444
Total Pages : 371 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Condensed Matter Physics in the Prime of the 21st Century by : Janusz J?drzejewski

Download or read book Condensed Matter Physics in the Prime of the 21st Century written by Janusz J?drzejewski and published by World Scientific. This book was released on 2008 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of lectures by 11 active researchers, renowned specialists in a number of modern, promising, dynamically-developing research directions in condensed matter/solid state theory. The lectures are concerned with phenomena, materials and ideas, discussing theoretical and experimental features, as well as with methods of calculation.Readers will find up-to-date presentations of the methods of carrying out efficient calculations for electronic systems and quantum spin systems, together with applications to describe phenomena and to design new materials. These applications include systems of quantum dots, quantum gates, semiconductor materials for spintronics, and the unusual characteristics of warm dense matter.

The Quantum Mechanics Solver

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Publisher : Springer Science & Business Media
ISBN 13 : 3662042770
Total Pages : 239 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Quantum Mechanics Solver by : Jean-Louis Basdevant

Download or read book The Quantum Mechanics Solver written by Jean-Louis Basdevant and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quantum Mechanics Solver is unique as it illustrates the application of quantum mechanical concepts to various fields of modern physics. It aims at encouraging the reader to apply quantum mechanics to research problems in fields such as molecular physics, condensed matter physics or laser physics. Advanced undergraduates and graduate students will find a rich and challenging source of material for further exploration.

Advanced Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 0521872901
Total Pages : 287 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Advanced Condensed Matter Physics by : Leonard M. Sander

Download or read book Advanced Condensed Matter Physics written by Leonard M. Sander and published by Cambridge University Press. This book was released on 2009-02-19 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced textbook covering important modern developments in depth rather than attempting an encyclopaedic approach.