Spin Systems
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Frustrated Spin Systems
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Author : H. T. Diep
language : en
Publisher: World Scientific
Release Date : 2013
Frustrated Spin Systems written by H. T. Diep and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."
An Introduction To Quantum Spin Systems
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Author : John B. Parkinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-20
An Introduction To Quantum Spin Systems written by John B. Parkinson 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 2010-09-20 with Science categories.
The topic of lattice quantum spin systems is a fascinating and by now well established branch of theoretical physics. Based on a set of lectures, this book has a level of detail missing from others, and guides the reader through the fundamentals of the field.
Frustrated Spin Systems Third Edition
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Author : Hung-the Diep
language : en
Publisher: World Scientific
Release Date : 2020-06-19
Frustrated Spin Systems Third Edition written by Hung-the Diep and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-19 with Science categories.
Frustrated spin systems have been first investigated five decades ago. Well-known examples include the Ising model on the antiferromagnetic triangular lattice studied by G H Wannier in 1950 and the Heisenberg helical structure discovered independently by A Yoshimori, J Villainn and T A Kaplan in 1959. However, extensive investigations on frustrated spin systems have really started with the concept of frustration introduced at the same time by G Toulouse and by J Villain in 1977 in the context of spin glasses. The frustration is generated by the competition of different kinds of interaction and/or by the lattice geometry. As a result, in the ground state all bonds are not fully satisfied. In frustrated Ising spin systems, a number of spins behave as free spins. In frustrated vector spin systems, the ground-state configuration is usually non-collinear. The ground state of frustrated spin systems is therefore highly degenerate and new induced symmetries give rise to unexpected behaviors at finite temperatures. Many properties of frustrated systems are still not well understood at present. Theoretically, recent studies shown in this book reveal that established theories, numerical simulations as well as experimental techniques have encountered many difficulties in dealing with frustrated systems. In some sense, frustrated systems provide an excellent testing ground for approximations and theories. Experimentally, more and more frustrated materials are discovered with interesting properties for applications.
Quantum Spin Systems On Infinite Lattices
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Author : Pieter Naaijkens
language : en
Publisher: Springer
Release Date : 2017-03-20
Quantum Spin Systems On Infinite Lattices written by Pieter Naaijkens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with Science categories.
This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom – and quantum spin systems in particular – using the operator algebraic approach. Here, the observables are modeled using elements of some operator algebra, usually a C*-algebra. This text introduces readers to the framework and the necessary mathematical tools without assuming much mathematical background, making it more accessible than advanced monographs. The book also highlights the usefulness of the so-called thermodynamic limit of quantum spin systems, which is the limit of infinite system size. For example, this makes it possible to clearly distinguish between local and global properties, without having to keep track of the system size. Together with Lieb-Robinson bounds, which play a similar role in quantum spin systems to that of the speed of light in relativistic theories, this approach allows ideas from relativistic field theories to be implemented in a quantum spin system. Several related cases are discussed, demonstrating the merits of the operator algebraic approach. Featuring representative worked-out examples and many exercises, this text is primarily targeted at graduate students and advanced undergraduates in theoretical physics or mathematics with a keen interest in mathematical physics. The material provides the necessary background and pointers to start exploring the recent literature. As such, it will also be useful for active researchers seeking a quick and comparatively self-contained introduction to the operator algebraic approach to quantum spin systems.
Spin Systems
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language : en
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Spin Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Symbol Correspondences For Spin Systems
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Author : Pedro de M. Rios
language : en
Publisher: Springer
Release Date : 2014-10-10
Symbol Correspondences For Spin Systems written by Pedro de M. Rios and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.
In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this book explores in more detail in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. A detailed presentation of quantum spin-j systems, with emphasis on the SO(3)-invariant decomposition of their operator algebras, is first followed by an introduction to the Poisson algebra of the classical spin system and then by a similarly detailed examination of its SO(3)-invariant decomposition. The book next proceeds with a detailed and systematic study of general quantum-classical symbol correspondences for spin-j systems and their induced twisted products of functions on the 2-sphere. This original systematic presentation culminates with the study of twisted products in the asymptotic limit of high spin numbers. In the context of spin systems it shows how classical mechanics may or may not emerge as an asymptotic limit of quantum mechanics. The book will be a valuable guide for researchers in this field and its self-contained approach also makes it a helpful resource for graduate students in mathematics and physics.
Theory Of Evolution And Relaxation Of Multi Spin Systems
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Author : Danuta Kruk
language : en
Publisher: Theschoolbook.com
Release Date : 2007
Theory Of Evolution And Relaxation Of Multi Spin Systems written by Danuta Kruk and has been published by Theschoolbook.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.
Praise for 'Theory of Evolution and Relaxation of Multi-Spin Systems': . it provides a lucid and systematic development of a very complex area of modern theory involving spin dynamics driven by complex, non-commuting hamiltonians. These phenomena are of fundamental importance in NMR, NQR and ESR spectroscopies. The monograph will be extremely useful both in graduate education and in on-going research. Dr. Kruk's manuscript is an extremely valuable contribution to our field and is written at the highest level of professional scholarship. The general scholarly quality and the theoretical level are both very high, thus providing a unique resource to the research community. Dr. Kruk succeeded to write a comprehensive representation of the theoretical background of spin relaxation. There is no other treatise on magnetic resonance on the market with this multidisciplinary comprehensiveness, clarity of treatment and systematic analysis of spin relaxation.
Crossover Time In Quantum Boson And Spin Systems
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Author : Gennady P. Berman
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-04
Crossover Time In Quantum Boson And Spin Systems written by Gennady P. Berman 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 2008-10-04 with Science categories.
The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic time-scale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for time-dependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classical-quantum "crossover-time", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists.
Frustrated Spin Systems
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Author : H. T. Diep
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2013
Frustrated Spin Systems written by H. T. Diep and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can within a single book obtain a global view of the current research development in the field of frustrated systems. This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors. The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so.
Field Theories For Low Dimensional Condensed Matter Systems
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Author : Guiseppe Morandi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Field Theories For Low Dimensional Condensed Matter Systems written by Guiseppe Morandi 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 2013-03-14 with Science categories.
This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.