Off Diagonal Bethe Ansatz For Exactly Solvable Models

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Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Author : Yupeng Wang
Publisher : Springer
ISBN 13 : 3662467569
Total Pages : 296 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Off-Diagonal Bethe Ansatz for Exactly Solvable Models by : Yupeng Wang

Download or read book Off-Diagonal Bethe Ansatz for Exactly Solvable Models written by Yupeng Wang and published by Springer. This book was released on 2015-04-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

Author : Fabio Franchini
Publisher : Springer
ISBN 13 : 3319484877
Total Pages : 180 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis An Introduction to Integrable Techniques for One-Dimensional Quantum Systems by : Fabio Franchini

Download or read book An Introduction to Integrable Techniques for One-Dimensional Quantum Systems written by Fabio Franchini and published by Springer. This book was released on 2017-05-25 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.

Exactly Solvable Models of Strongly Correlated Electrons

Author : Vladimir E Korepin
Publisher : World Scientific
ISBN 13 : 981450274X
Total Pages : 504 pages
Book Rating : 4.8/5 (145 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 1994-05-24 with total page 504 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-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. Contents:One-Dimensional Hubbard ModelThe Supersymmetric t-J ModelOther Models of Strongly Correlated Electrons: Models with Local InteractionModels with Long-Range Interaction Readership: Mathematical physicists and condensed matter physicists. keywords:Hubbard Model;Bethe Ansatz;t-J Model;Charge and Spin Separation;Thermodynamics;Magnetism;Correlation Functions;Cattering Matrix;Luttinger Liqud;Confomal Field Theory

Festschrift In Honor Of The C N Yang Centenary, A: Scientific Papers

Author : Fong-ching Chen
Publisher : World Scientific
ISBN 13 : 9811264163
Total Pages : 638 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Festschrift In Honor Of The C N Yang Centenary, A: Scientific Papers by : Fong-ching Chen

Download or read book Festschrift In Honor Of The C N Yang Centenary, A: Scientific Papers written by Fong-ching Chen and published by World Scientific. This book was released on 2022-08-03 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: C N Yang is a towering figure of science who has significantly extended human understanding of nature, headed one of the foremost research institutes in physics for three decades, and made great contributions to the advances of Chinese physics. This Festschrift in honor of Professor Yang on his centenary birthday consists of two volumes: Volume A consists of general essays concerning Professor Yang the person, as well as the authors' impressions and reminiscences of him, which are mainly (but not exclusively) in Chinese. This volume, that is Volume B, consists of over thirty scientific papers in English on subjects broadly related to his work and contributed by two different groups: Professor Yang's colleagues, friends, and former students; and graduates from the Tsinghua University Physics Department or Institute for Advanced Study, who have come under the influence of Professor Yang and are now established in their own careers; review papers presented at a Symposium held in his honor in 2021 are also included. It is hoped that this Festschrift can serve as a fit tribute to Professor Yang's lifelong achievements, and also increase public awareness of the many different sides of this giant — his life, his personality, his work, his influence, as well as what he strives for.

Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course

Author : Nikita Slavnov
Publisher : World Scientific
ISBN 13 : 9811254273
Total Pages : 399 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course by : Nikita Slavnov

Download or read book Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course written by Nikita Slavnov and published by World Scientific. This book was released on 2022-05-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is unlikely that today there is a specialist in theoretical physics who has not heard anything about the algebraic Bethe ansatz. Over the past few years, this method has been actively used in quantum statistical physics models, condensed matter physics, gauge field theories, and string theory.This book presents the state-of-the-art research in the field of algebraic Bethe ansatz. Along with the results that have already become classic, the book also contains the results obtained in recent years. The reader will get acquainted with the solution of the spectral problem and more complex problems that are solved using this method. Various methods for calculating scalar products and form factors are described in detail. Special attention is paid to applying the algebraic Bethe ansatz to the calculation of the correlation functions of quantum integrable models. The book also elaborates on multiple integral representations for correlation functions and examples of calculating the long-distance asymptotics of correlations.This text is intended for advanced undergraduate and postgraduate students, and specialists interested in the mathematical methods of studying physical systems that allow them to obtain exact results.

The Universality of Physics

Author : Ramzi R. Khuri
Publisher : Springer Science & Business Media
ISBN 13 : 1461505852
Total Pages : 199 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis The Universality of Physics by : Ramzi R. Khuri

Download or read book The Universality of Physics written by Ramzi R. Khuri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deng Feng Wang was born February 8, 1965 in Chongqing City, China and died August 15, 1999 while swimming with friends in the Atlantic Ocean off Island Beach State Park, New Jersey. In his brief life, he was to have an influence far beyond his years. On August 12th 2000, The Deng Feng Wang Memorial Conference was held at his alma mater, Princeton University, during which Deng Feng's mentors, collaborators and friends presented scientific talks in a testimonial to his tremendous influence on their work and careers. The first part of this volume contains proceedings contributions from the conference, with plenary talks by Nobel Laureate Professor Phil Anderson of Princeton University and leading Condensed Matter Theorists Professor Piers Coleman of Rutgers University and Professor Christian Gruber of the University of Lausanne. Other talks, given by collaborators, friends and classmates testify to the great breadth of Deng Feng Wang's influence, with remarkable connections shown between seemingly unrelated areas in physics such as Condensed Matter Physics, Superconductivity, One-Dimensional Models, Statistical Physics, Mathematical Physics, Quantum Field Theory, High Energy Theory, Nuclear Magnetic Resonance, Supersymmetry, M-Theory and String Theory, in addition to such varied fields outside of physics such as Oil Drilling, Mixed Signal Circuits and Neurology. The second part of the volume consists of reprints of some of Deng Feng Wang's most important papers in the areas of Condensed Matter Physics, Statistical Physics, Magnetism, Mathematical Physics and Mathematical Finance. This volume represents a fascinating synthesis of a wide variety of topics, and ultimately points to the universality of physics and of science as a whole. As such, it represents a fitting tribute to a remarkable individual, whose tragic death will never erase his enduring influence.

Non-Linear Lattice

Author : Ignazio Licata and Sauro Succi
Publisher : MDPI
ISBN 13 : 3038423068
Total Pages : 291 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Non-Linear Lattice by : Ignazio Licata and Sauro Succi

Download or read book Non-Linear Lattice written by Ignazio Licata and Sauro Succi and published by MDPI. This book was released on 2018-07-17 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy

Classical and Quantum Nonlinear Integrable Systems

Author : A Kundu
Publisher : CRC Press
ISBN 13 : 9781420034615
Total Pages : 320 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Classical and Quantum Nonlinear Integrable Systems by : A Kundu

Download or read book Classical and Quantum Nonlinear Integrable Systems written by A Kundu and published by CRC Press. This book was released on 2019-04-23 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories

Recent Progress In Many-body Theories - Proceedings Of The 9th International Conference

Author : David Neilson
Publisher : World Scientific
ISBN 13 : 9814545236
Total Pages : 550 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Recent Progress In Many-body Theories - Proceedings Of The 9th International Conference by : David Neilson

Download or read book Recent Progress In Many-body Theories - Proceedings Of The 9th International Conference written by David Neilson and published by World Scientific. This book was released on 1998-10-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This inaugural volume in a new series on quantum many-body theory contains the papers presented at the Ninth International Conference on Recent Progress in Many-Body Theories. The conference focused on the development and refinement of many-body methods. A major aim was to foster the exchange of ideas among physicists working in such diverse areas as nuclear physics, quantum chemistry, complex systems, lattice Hamiltonians, quantum fluids and condensed matter physics. A special feature was a session devoted to theories for many-electron systems in low-dimensional quantum dots, wires and electrons.

Journal of Physics A

Author :
Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Journal of Physics A by :

Download or read book Journal of Physics A written by and published by . This book was released on 1999 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.

Correlation Effects in Low-Dimensional Electron Systems

Author : Ayao Okiji
Publisher : Springer Science & Business Media
ISBN 13 : 3642851290
Total Pages : 223 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Correlation Effects in Low-Dimensional Electron Systems by : Ayao Okiji

Download or read book Correlation Effects in Low-Dimensional Electron Systems written by Ayao Okiji and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Correlation Effects in Low-Dimensional Electron Systems describes recent developments in theoretical condensed-matter physics, emphasizing exact solutions in one dimension including conformal-field theoretical approaches, the application of quantum groups, and numerical diagonalization techniques. Various key properties are presented for two-dimensional, highly correlated electron systems.

Journal of the Physical Society of Japan

Author : Nihon Butsuri Gakkai
Publisher :
ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Journal of the Physical Society of Japan by : Nihon Butsuri Gakkai

Download or read book Journal of the Physical Society of Japan written by Nihon Butsuri Gakkai and published by . This book was released on 2004 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials

Author : Cesare Pisani
Publisher : Springer Science & Business Media
ISBN 13 : 3642614787
Total Pages : 331 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials by : Cesare Pisani

Download or read book Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials written by Cesare Pisani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of general-purpose, reasonably accurate and well-tested ab-initio codes for crystals are discussed in this book. The aim is to expand competence of their application in material sciences and solid-state physics. The book addresses particularly readers with a general knowledge in quantum chemistry and intends to give a deeper insight into the special algorithms and computational techniques in ab-initio computer codes for crystals. Three different programs which are available to all interested potential users on request are presented.

Frontiers in Quantum Information Research

Author : Mikio Nakahara
Publisher : World Scientific
ISBN 13 : 9814407208
Total Pages : 360 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Frontiers in Quantum Information Research by : Mikio Nakahara

Download or read book Frontiers in Quantum Information Research written by Mikio Nakahara and published by World Scientific. This book was released on 2012-06-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes/contributions from a summer school on decoherence, entanglement & entropy and a workshop on MPS (matrix product states) & DMRG (density matrix renormalization group). Subjects of the summer school include introduction to MPS, black holes, qubits and octonions, weak measurement, entanglement measures and separability, generalized Bell inequalities, among others. Subjects of the workshop are dedicated to MPS and DMRG. Applications to strongly correlated systems and integrable systems are also mentioned. Contributions to this book are prepared in a self-contained manner so that a reader with a modest background in quantum information and quantum computing may understand the subjects. Contents:Summer School on Decoherence, Entanglement and Entropy:Black Holes and Qubits (L Borsten, M J Duff and W Rubens)Weak Value with Decoherence (A Hosoya)Lectures on Matrix Product Representation of States (V Karimipour and M Asoudeh)On a Possible Definition of Entanglement in Antisymmetric States (T Ichikawa, T Sasaki and I Tsutsui)Entanglement Measures for Intermediate Separability (T Sasaki, T Ichikawa and I Tsutsui)Unruh Effect on Quantum Teleportation and Entanglement: Implications on Black Hole Information (K Shiokawa)Systematic Construction of Generalized Bell Inequalities (S Tanimura)On 3-Variable Exponential Polynomials and Quantum Algorithms (Y Ohno, Y Sasaki and C Yamazaki)Workshop on Matrix Product State Formulation and Density Matrix Renormalization Group Simulations (MPS&DMRG):Application of Density Matrix Renormalization Group Method to Photoinduced Phenomena in Strongly Correlated Electron Systems (H Matsueda)Density-Matrix Renormalization Group Method for Tomonaga-Luttinger Liquid (T Hikihara)Supersymmetric Valence-Bond Solid Models — Hidden Order and Dynamics (K Totsuka and K Hasebe)Matrix Product States in Quantum Integrable Models (H Katsura and I Maruyama)A Systematic Way to Find and Construct Exact Finite Dimensional Matrix-Product Stationary States (Y Hieida and T Sasamoto) Readership: Graduate students and researchers in physics, mathematics, informatics and computer science. Accessible to advanced undergraduate students. Keywords:Quantum Information;Decoherence;Entanglement;Entropy;Matrix Product State;Density Matrix Renormalization Group;Black Hole;Quantum Algorithm

Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations

Author : A.T. Skjeltorp
Publisher : Springer Science & Business Media
ISBN 13 : 9401004196
Total Pages : 238 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations by : A.T. Skjeltorp

Download or read book Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations written by A.T. Skjeltorp and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mesoscopic systems display `adaptive' behaviour - changes in some physical property that results from a small change in an internal or external driving force. There is a kind of progression in adaptive phenomena, from quantum mesoscopics to complex, evolved cooperative systems and large scale events like turbulence. The field of mesoscopic magnetism, especially quantum coherence and quantum tunnelling in spin systems, and the coupling between mesoscopic magnetism and mesoscopic transport is currently a very active area of solid state physics. `Dephasing' is an important concept in mesoscopic systems like these. A basic question is the limit at which quantum mechanics breaks down and what it can be replaced with. Another interesting crossover is that between complexity and large excursions or events, with turbulence as a prototype example. The book also contains a discussion of finance. Qualitatively speaking, turbulence and financial markets are apparently similar, so our understanding of turbulence may be relevant to understanding price fluctuations.

Quantum Inverse Scattering Method and Correlation Functions

Author : V. E. Korepin
Publisher : Cambridge University Press
ISBN 13 : 9780521586467
Total Pages : 582 pages
Book Rating : 4.5/5 (864 download)

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Book Synopsis Quantum Inverse Scattering Method and Correlation Functions by : V. E. Korepin

Download or read book Quantum Inverse Scattering Method and Correlation Functions written by V. E. Korepin and published by Cambridge University Press. This book was released on 1997-03-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.

Encyclopedia of Mathematical Physics

Author : Jean-Pierre Françoise
Publisher : Academic Press
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Encyclopedia of Mathematical Physics by : Jean-Pierre Françoise

Download or read book Encyclopedia of Mathematical Physics written by Jean-Pierre Françoise and published by Academic Press. This book was released on 2006 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy.