Exactly Solvable Models In Many Body Theory
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Exactly Solvable Models In Many Body Theory
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Author : Norman H March
language : en
Publisher: World Scientific
Release Date : 2016-05-27
Exactly Solvable Models In Many Body Theory written by Norman H March and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-27 with Science categories.
The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.
Exactly Solvable Models For Cluster And Many Body Condensed Matter Systems
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Author : Norman Henry March
language : en
Publisher:
Release Date : 2016
Exactly Solvable Models For Cluster And Many Body Condensed Matter Systems written by Norman Henry March and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with SCIENCE categories.
Exactly Solvable Models Of Strongly Correlated Electrons
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Author : Fabian H L Essler
language : en
Publisher: World Scientific
Release Date : 1994-05-24
Exactly Solvable Models Of Strongly Correlated Electrons written by Fabian H L Essler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-24 with Science categories.
Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc 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.
Off Diagonal Bethe Ansatz For Exactly Solvable Models
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Author : Yupeng Wang
language : en
Publisher: Springer
Release Date : 2015-04-21
Off Diagonal Bethe Ansatz For Exactly Solvable Models written by Yupeng Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-21 with Science categories.
This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.
Many Body Approaches At Different Scales
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Author : G.G.N Angilella
language : en
Publisher: Springer
Release Date : 2018-03-24
Many Body Approaches At Different Scales written by G.G.N Angilella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Technology & Engineering categories.
This book presents a collection of invited research and review contributions on recent advances in (mainly) theoretical condensed matter physics, theoretical chemistry, and theoretical physics. The volume celebrates the 90th birthday of N.H. March (Emeritus Professor, Oxford University, UK), a prominent figure in all of these fields. Given the broad range of interests in the research activity of Professor March, who collaborated with a number of eminent scientists in physics and chemistry, the volume embraces quite diverse topics in physics and chemistry, at various dimensions and energy scales. One thread connecting all these topics is correlation in aggregated states of matter, ranging from nuclear physics to molecules, clusters, disordered condensed phases such as the liquid state, and solid state physics, and the various phase transitions, both structural and electronic, occurring therein. A final chapter leaps to an even larger scale of matter aggregation, namely the universe and gravitation. A further no less important common thread is methodological, with the application of theoretical physics and chemistry, particularly density functional theory and statistical field theory, to both nuclear and condensed matter.
Many Particle Physics
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Author : Gerald D. Mahan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Many Particle Physics written by Gerald D. Mahan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
The first, second, and third editions of this book seem to occur at ten year intervals. The intent is to keep the book up-to-date. Many-body theory is a field which continually evolves in time. Journals only publish new results, conferences only invite speakers to report new phenomena, and agencies only fund scientists to do new physics. Today's physics is old hat by tomorrow. Students want to learn new material, and textbooks must be modified to keep up with the times. The early chapters in this book teach the techniques of many-body theory. They are largely unchanged in format. The later chapters apply the techniques to specific problems. The third edition increases the number of applications. New sections have been added, while old sections have been modified to include recent applications. The previous editions were set in type using pre-computer technology. No computer file existed of the prior editions. The publisher scanned the second edition and gave me a disk with the contents. This scan recorded the words accurately and scrambled the equations into unintelligible form. So I retyped the equations using LaTeX. Although tedious, it allowed me to correct the infinite numbers of typographical errors in the previous edition. The earlier typesetting methods did not permit such corrections. The entire book was edited sentence-by sentence. Most old sections of the book were shortened by editing sentences and paragraphs.
Exactly Soluble Models In Statistical Mechanics Historical Perspectives And Current Status
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Author : Christopher King
language : en
Publisher: World Scientific
Release Date : 1997-02-26
Exactly Soluble Models In Statistical Mechanics Historical Perspectives And Current Status written by Christopher King and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-26 with categories.
This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 — the first ever conference to deal exclusively with this topic. Besides invited presentations by leading researchers in the field, the conference held a session of contributed papers by participants from throughout the world. The proceedings, which include both the invited and the contributed papers, reflect the broad range of interest in exactly soluble models as well as the diverse fields in physics and mathematics that they connect. Apart from providing concise and timely reviews, the papers in this volume give a snapshot of the current state of affairs. The topics covered range from a historical survey of the field (by E H Lieb) to the latest formulation of a star-star transformation of spin models (by R J Baxter).
Recent Progress In Many Body Theories Proceedings Of The 9th International Conference
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Author : David Neilson
language : en
Publisher: World Scientific
Release Date : 1998-10-20
Recent Progress In Many Body Theories Proceedings Of The 9th International Conference written by David Neilson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-20 with categories.
The Lake Louise Winter Institute is held annually to explore recent trends in physics. The proceedings contain pedagogical and review lectures by invited experts and contributed presentations by participants.
Luttinger Model
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Author : Vieri Mastropietro
language : en
Publisher: World Scientific
Release Date : 2014
Luttinger Model written by Vieri Mastropietro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
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.
Many Body Theory Of Molecules Clusters And Condensed Phases
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Author : Norman Henry March
language : en
Publisher: World Scientific
Release Date : 2010
Many Body Theory Of Molecules Clusters And Condensed Phases written by Norman Henry March and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
This book provides a comprehensive review of seminal as well as recent results in the theory of condensed phases, including liquid metals, quantum liquids and Wigner crystals, along with selected applications, especially in the physical chemistry of molecules and clusters. A large part of this work is dedicated to The Thomasndash;Fermi semiclassical approximation for molecules and condensed phases, and its extension to inhomogeneous electron liquids and liquid metals. Correlation effects in quantum liquids and Wigner crystallization are other areas of focus of this work, with an emphasis towards the effect of low dimensionality and magnetic fields. The volume is a collection of reprints by N H March and collaborators over five decades.