Nonequilibrium Many-Body Theory of Quantum Systems Cambridge University Press

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The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.

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Many - Body Dimensional Perturbation Theory For Quantum Confined Systems

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Nonequilibrium Many - Body Theory Of Quantum Systems

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Quantum Theory of Many-Body Systems: Techniques and Applications

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Quantum Many Body Systems Springer-Verlag Berlin and Heidelberg GmbH & Co....

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The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights.

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Many-Body Quantum Theory in Condensed Matter Physics Oxford University Press

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This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor, while at the same time providing physical motivation and examples. The examples are taken from applications in electron systems and transport theory. On the formal side, the book covers an introduction to second quantization, many-body Green's function, finite temperature Feynman diagrams and bosonization. The applications include traditional transport theory in bulk as well as mesoscopic systems, where both the Landau-Buttiker formalism and recent developments in correlated transport phenomena in mesoscopic systems and nano-structures are covered. Other topics include interacting electron gases, plasmons, electron-phonon interactions, superconductivity and a final chapter on one-dimensional systems where a detailed treatment of Luttinger liquid theory and bosonization techniques is given.Having grown out of a set of lecture notes, and containing many pedagogical exercises, this book is designed as a textbook for an advanced undergraduate or graduate course, and is also well suited for self-study.

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A Course in Quantum Many-Body Theory Springer, Berlin

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This textbook presents various methods to deal with quantum many-body systems, mainly addressing interacting electrons. It focusses on basic tools to tackle quantum effects in macroscopic systems of interacting particles, and on fundamental concepts to interpret the behavior of such systems as revealed by experiments.The textbook starts from simple concepts like second quantization, which allows one to include the indistinguishability and statistics of particles in a rather simple framework, and linear response theory. Then, it gradually moves towards more technical and advanced subjects, including recent developments in the field. The diagrammatic technique is comprehensively discussed. Some of the advanced topics include Landau's Fermi liquid theory, Luttinger liquids, the Kondo effect, and the Mott transition.The ultimate goal of the book is to gain comprehension of physical quantities that are routinely measured experimentally and fully characterize the system, therefore it is useful for graduate students but also young researchers studying and investigating the theoretical aspects of condensed matter physics.

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Quantum Scaling in Many-Body Systems: An Approach to Quantum Phase Transitions

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Quantum Theory Of Many - Particle Systems

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Quantum Scaling In Many-body Systems

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Probing Correlated Quantum Many-Body Systems at the Single-Particle Level

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Quantum Physics of Light and Matter: A Modern Introduction to Photons, Atoms and Many-Body Systems

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Many-Body Theory Exposed! World Scientific Publishing Co Pte Ltd

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Standard textbooks on the subject of the many-body problem have become outdated. A wealth of experimental data has accumulated that has never been integrated in a textbook before; these data make the abstract concept of propagators extremely vivid and understandable. The present text incorporates the comparison with experimental data from the outset. Also missing from all textbooks is the coverage of calculations, which have benefited from the exponential increase in computing power. The results of such calculations, using propagators or Green's functions, are reviewed in the present text. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, the present book also emphasizes finite systems and should be of considerable interest to researchers in nuclear, atomic, and molecular physics.A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The important role of self-consistency is treated in an original and systematic manner. Several topics not available in older books, in particular the description of atomic Bose-Einstein condensates, are included.The coverage proceeds in a systematic way, from elementary concepts like second quantization and mean-field properties to a more advanced but self-contained presentation of the physics relevant for atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose-Einstein and fermion condensates, and pairing correlations in finite and infinite systems.

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Quantum Theory of Many-Particle Sys Dover Publications Inc.

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PrefacePart 1. Introduction 1. Second Quantization 2. Statistical MechanicsPart 2. Ground-state (Zero-temperature) Formalism 3. Green's Functions and Field Theory (Fermions) 4. Fermi Systems 5. Linear Response and Collective Modes 6. Bose SystemsPart 3. Finite-Temperature Formalism 7. Field Theory at Finite Temperature 8. Physical Systems at Finite Temperature 9. Real-Time Green's Functions and Linear ResponsePart 4. Canonical TransformationsPart 5. Applications to Physical Systems 11. Nuclear Matter 12. Phonons and Electrons 13. Superconductivity 14. Superfluid Helium 15. Applications to Finite Systems: The Atomic NucleusAppendix A. Definite IntegralsAppendix B. Review of the Theory of Angular Momentum Index

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Stochastic Models For Many-body Systems

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