An Introduction To Quantum Spin Systems
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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.
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.
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.
Quantum Theory Of One Dimensional Spin Systems
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Author : Andrei A. Zvyagin
language : en
Publisher:
Release Date : 2010-01-01
Quantum Theory Of One Dimensional Spin Systems written by Andrei A. Zvyagin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Magnetism categories.
New Methods In The Theory Of Quantum Spin Systems
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Author : Vladimir Vladimirovich Ulʹi͡a︡nov
language : en
Publisher:
Release Date : 1992
New Methods In The Theory Of Quantum Spin Systems written by Vladimir Vladimirovich Ulʹi͡a︡nov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Nuclear spin categories.
Quantum Mechanics With A Spin On It
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Author : Kwaku Eason
language : en
Publisher: Symphonious Publishers
Release Date : 2018-11-29
Quantum Mechanics With A Spin On It written by Kwaku Eason and has been published by Symphonious Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-29 with Science categories.
A complete and thorough introduction to quantum mechanics/quantum physics, which, distinguished from other such texts, also includes more recent physics relating to the field of spintronics, superconductors, as well as very recent developments in quantum dynamics. Useful historical developments are also given with the important connections studying light and thermodynamics. One of the more unique features of this book includes a powerful development for quantum mechanics on the dynamics or time-dependent behavior of quantum mechanical systems. The description of transitions between quantum states, and relevant applications are introduced, and demonstrated to show that quantum mechanics must be extended further in order to contain more correct and complete descriptions of transitions between quantum states. This topic is crucial for many developing technologies exploiting quantum systems and their fundamental properties. You'll also find thorough and detailed derivations of nearly all the results in this book, so you'll truly learn the origins of many of the complex relations or equations in quantum mechanics.
Spin Systems
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Author :
language : en
Publisher:
Release Date :
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.
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
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."
Static And Dynamic Properties Of Low Dimensional Quantum Spin Systems
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Author : Simon Nils Grossjohann
language : en
Publisher: Cuvillier Verlag
Release Date : 2010-08-17
Static And Dynamic Properties Of Low Dimensional Quantum Spin Systems written by Simon Nils Grossjohann and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-17 with Science categories.
In my thesis, static and dynamic properties of low-dimensional spin models were studied by means of a state of the art QMC method (SSE). As one among many numerical algorithms (e.g. DMRG, ED), the QMC proved to be a very flexible and high performance tool with access to dynamic correlation functions at finite temperatures and finite magnetic fields within the thermodynamic limit1. After detailed introduction of the QMC’s basic implementation, I provided yet unpublished information about the measurement of transverse (and longitudinal) imaginary time correlation functions for the spin S Heisenberg model. In addition to that, complications of the analytic continuation to the real axis were explained and two common Maximum Entropy algorithms (Bryan and Meshkov) introduced briefly. In my thesis, both algorithms have been implemented and contrasted in regard to their performance and quality of the continuation, clearly favoring Bryan’s method which is a standard least square algorithm based on Newton iterations with however highly optimized search directions in the multi-dimensional solution space.