Groups Systems And Many Body Physics
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Groups Systems And Many Body Physics
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Author : Peter Dal Cin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Groups Systems And Many Body Physics written by Peter Dal Cin 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 authors of the present book share the view that groups and semigroups playa funda mental role in the structure of the complex systems which they are studying. A serious effort was made to implement this point of view by presenting the fundamental concepts pertaining to groups and semigroups before going into the various fields of application. The first two chapters are written in this spirit. The following seven chapters deal with groups in relation to specific systems and lead from basic notions to high-level applications. The systems under study are in all cases characterized by a high degree of complexity as found in the physics of many degrees of freedom and in the theory of automata and systems. In 1977 the authors from the University of Tiibingen (M. Dal Cin, G. John, P. Kramer, A. Rieckers, K. Scheerer and H. Stumpf) organized an International Summer School on Groups and Many-Body Physics. The lectures presented at this School dealt specifically with this interplay of groups and complex systems. The contributions of this book cover the fields which were treated in a condensed form at the Summer School.
Groups Systems And Many Body Physics
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Author :
language : en
Publisher:
Release Date : 1980
Groups Systems And Many Body Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Group theory categories.
Renormalization Group And Effective Field Theory Approaches To Many Body Systems
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Author : Achim Schwenk
language : en
Publisher: Springer
Release Date : 2012-06-25
Renormalization Group And Effective Field Theory Approaches To Many Body Systems written by Achim Schwenk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-25 with Science categories.
There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.
Quantum Field Theory Of Many Body Systems
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Author : Xiao-Gang Wen
language : en
Publisher: OUP Oxford
Release Date : 2004-06-04
Quantum Field Theory Of Many Body Systems written by Xiao-Gang Wen and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-04 with Science categories.
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 Many Body Physics In A Nutshell
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Author : Edward Shuryak
language : en
Publisher: Princeton University Press
Release Date : 2018-11-27
Quantum Many Body Physics In A Nutshell written by Edward Shuryak and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-27 with Science categories.
The ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates This book provides an essential introduction to the physics of quantum many-body systems, which are at the heart of atomic and nuclear physics, condensed matter, and particle physics. Unlike other textbooks on the subject, it covers topics across a broad range of physical fields—phenomena as well as theoretical tools—and does so in a simple and accessible way. Edward Shuryak begins with Feynman diagrams of the quantum and statistical mechanics of a particle; in these applications, the diagrams are easy to calculate and there are no divergencies. He discusses the renormalization group and illustrates its uses, and covers systems such as weakly and strongly coupled Bose and Fermi gases, electron gas, nuclear matter, and quark-gluon plasmas. Phenomena include Bose condensation and superfluidity. Shuryak also looks at Cooper pairing and superconductivity for electrons in metals, liquid 3He, nuclear matter, and quark-gluon plasma. A recurring topic throughout is topological matter, ranging from ensembles of quantized vortices in superfluids and superconductors to ensembles of colored (QCD) monopoles and instantons in the QCD vacuum. Proven in the classroom, Quantum Many-Body Physics in a Nutshell is the ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates. Teaches students how quantum many-body systems work across many fields of physics Uses path integrals from the very beginning Features the easiest introduction to Feynman diagrams available Draws on the most recent findings, including trapped Fermi and Bose atomic gases Guides students from traditional systems, such as electron gas and nuclear matter, to more advanced ones, such as quark-gluon plasma and the QCD vacuum
Physics And Mathematics Of Quantum Many Body Systems
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Author : Hal Tasaki
language : en
Publisher: Springer Nature
Release Date : 2020-05-07
Physics And Mathematics Of Quantum Many Body Systems written by Hal Tasaki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Technology & Engineering categories.
This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.
Introduction To Many Body Physics
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Author : Piers Coleman
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-26
Introduction To Many Body Physics written by Piers Coleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Science categories.
This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.
Quantum Many Body Physics In Open Systems Measurement And Strong Correlations
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Author : Yuto Ashida
language : en
Publisher: Springer Nature
Release Date : 2020-01-06
Quantum Many Body Physics In Open Systems Measurement And Strong Correlations written by Yuto Ashida and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Science categories.
This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.
Group Theory And The Many Body Problem
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Author : Marcos Moshinsky
language : en
Publisher:
Release Date : 1968
Group Theory And The Many Body Problem written by Marcos Moshinsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Group theory categories.
Many Body Physics Topology And Geometry
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Author : Siddhartha Sen
language : en
Publisher: World Scientific
Release Date : 2015-06-15
Many Body Physics Topology And Geometry written by Siddhartha Sen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-15 with Science categories.
The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed.The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene.The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differential geometry to show how the emergence of gapless states can be understood. Practical ways of carrying out topological calculations are described.