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The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).
This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.
This is a collection of articles on fundamental physical principles and methods, the topics ranging from matrix models, random surfaces, quantum dots and rings, to black holes, cosmology and testing of the tiny effects predicted by General Relativity. Among the authors are Sir Roger Penrose and other well-known experts and the articles are addressed to graduate students and researchers. The volume is a Festschrift to a noted physicist and mentor Sergei Matinyan. Contents:A Matrix Model Representation of the Integrable XXZ Heisenberg Chain on Random Surfaces (J Ambjørn and A Sedrakyan)Magnetization and Concurrence Properties of Diamond Chain: Two Approaches (N S Ananikian, H A Lazaryan, M A ...
An important task of theoretical quantum physics is the building of idealized mathematical models to describe the properties of quantum matter. This text is an introduction to the Bethe ansatz method. It introduces the physical concepts (e.g. the Fermi and Luttinger liquid and quantum phase transitions) and mathematical tools (e.g. many-particle Hilbert spaces and second quantization) needed to construct realistic models from a variety of fields of physics,especially condensed matter physics and quantum optics. The various forms of the Bethe ansatz - algebraic, coordinate, multicomponent, and thermodynamic Bethe ansatz, and Bethe ansatz for finite systems -are then explained in depth and employed to find exact solutions for the physical properties of the integrable forms of these strongly interacting quantum models.
This volume is the first international collection of the best physics problems (both theoretical and experimental) given at the national physics competitions for high school students in different countries. The book introduces the short history of the International Physics Olympiad, the Statutes, the Syllabus, the statistical data including complete list of winners and a collection of national reports. Each of the national report will contains — as a main part — the best theoretical and experimental problems (with complete solutions) given at the national competition or at the training of the team before the international competition. Taking into account that at present the International Physics Olympiad involves about 35 countries, we are sure that the book will be interesting for everybody involved with physics education not only with the physics olympiads.
Closing a gap in the literature, this volume is intended both as an introductory text at postgraduate level and as a modern, comprehensive reference for researchers in the field. Provides a full working description of the main fundamental tools in the theorists toolbox which have proven themselves on the field of quantum magnetism in recent years. Concludes by focusing on the most important cuurent materials form an experimental viewpoint, thus linking back to the initial theoretical concepts.
This is a collection of articles on fundamental physical principles and methods, the topics ranging from matrix models, random surfaces, quantum dots and rings, to black holes, cosmology and testing of the tiny effects predicted by General Relativity. Among the authors are Sir Roger Penrose and other well-known experts and the articles are addressed to graduate students and researchers. The volume is a Festschrift to a noted physicist and mentor Sergei Matinyan.
Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. ...
The aim of this book is to provide the fundamentals of statistical physics and its application to condensed matter. The combination of statistical mechanics and quantum mechanics has provided an understanding of properties of matter leading to spectacular technological innovations and discoveries in condensed matter which have radically changed our daily life. The book gives the steps to follow to understand fundamental theories and to apply these to real materials.