Many Particle Theory Applied To Condensed Matter
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| Author | : Daniel C. Cabra |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 380 |
| Release | : 2012-01-05 |
| Genre | : Technology & Engineering |
| ISBN | : 3642104487 |
Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.
| Author | : Eberhard K. U. Gross |
| Publisher | : CRC Press |
| Total Pages | : 442 |
| Release | : 1991-11 |
| Genre | : Art |
| ISBN | : |
The quantum theory of many-particle systems has applications in various branches of physics including condensed matter, atomic, molecular, nuclear and high-energy. An understanding of this theory is therefore important to most students of physics and Many-Particle Theory is an excellent introduction to the subject. Many-Particle Theory presents a detailed and logical account of the theory and techniques used. Basic subjects such as Green's functions and Feynman diagrams are discussed in detail, and many examples and applications are given, such as the Hartee-Fock approximation, superconductivity and the Kondo problem. Due to the detailed derivations and the fact that only a grasp of basic quantum mechanics is assumed, the book is an ideal textbook for graduate students and teachers of physics. The comprehensive bibliography contains many recent books and articles for further studies. Many-Particle Theory is a translation of the second German edition, which is an expanded version of the popular first edition. All three authors, E K U Gross, E Runge and O Heinonen, are well respected researchers in the field.
| Author | : Christophe Berthod |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2018 |
| Genre | : Quantum theory |
| ISBN | : 9780750317405 |
The contemporary understanding of matter is based on the quantum theory, which envisions large collections of particles interacting with each other and with their environment. Spectroscopic probes based for instance on light change the environment and trigger a collective response of the particles. This book based on a graduate-level course explains the underpinnings of many-body quantum theory and exposes the main methodologies for calculations, before describing, with the support of practical examples and short computer codes, how the spectroscopic techniques are represented within the theory and how their outcome is interpreted as a probe of the correlations between quantum particles.
| Author | : Alexander Altland |
| Publisher | : Cambridge University Press |
| Total Pages | : 785 |
| Release | : 2010-03-11 |
| Genre | : Science |
| ISBN | : 0521769752 |
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
| Author | : Henrik Bruus |
| Publisher | : Oxford University Press |
| Total Pages | : 458 |
| Release | : 2004-09-02 |
| Genre | : Science |
| ISBN | : 0198566336 |
The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
| Author | : John W. Negele |
| Publisher | : CRC Press |
| Total Pages | : 474 |
| Release | : 2018-03-05 |
| Genre | : Science |
| ISBN | : 0429966474 |
This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods.
| Author | : Alexander Altland |
| Publisher | : Cambridge University Press |
| Total Pages | : 785 |
| Release | : 2010-03-11 |
| Genre | : Science |
| ISBN | : 113948513X |
Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many-particle theory.
| Author | : Heidi Reinholz |
| Publisher | : World Scientific |
| Total Pages | : 571 |
| Release | : 2007 |
| Genre | : Science |
| ISBN | : 9812709592 |
This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume. Sample Chapter(s). Part A: Fermi Liquids: Pressure Comparison Between the Spherical Cellular Model and the Thomas-Fermi Model (290 KB). Contents: Condensation of Helium in Wedges (E S Hernindez et al.); Pairing in Asymmetrical Fermi Systems (K F Quader & R Liao); Quantum Boltzmann Liquids (K A Gernoth et al.); Fractionally Charged Excitations on Frustrated Lattices (E Runge et al.); On the de HaasOCoVan Alphen Oscillation in 2D (S Fujita & D L Morabito); The Concept of Correlated Density and Its Application (K Morawetz et al.); Pairing of Strongly Correlated Nucleons (W H Dickhoff); KohnOCoSham Calculations Combined with an Average Pair-Density Functional Theory (P Gori-Giorgi & A Savin); Maxent Approach to Qubits (C M Sarris et al.); Ergodic Condition and Magnetic Models (M H Lee); and other papers. Readership: Physicists, chemists and applied mathematicians interested in advanced theories of condensed matter and their applications."
| Author | : Alexandre Zagoskin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 238 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461205956 |
Intended for graduates in physics and related fields, this is a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. The aim is not to be exhaustive, but to present just enough detail to enable students to follow the current research literature or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout the volume, and which therefore provides an ideal testing ground for many-body theories. '
| Author | : Heidi Reinholz |
| Publisher | : World Scientific |
| Total Pages | : 571 |
| Release | : 2007 |
| Genre | : Technology & Engineering |
| ISBN | : 9812709584 |
Annotation. This series on Condensed Matter Theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists applying many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. The book is a comprehensive collection of many significant topics in the field of condensed matter theories. Each individual contribution is preceded by an extended introduction to the topic treated. Details not normally presented in journal articles can be found in this volume.
