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The Quantum Mechanics of Many-Body Systems

2014-01-15 Science
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Release : 2014-01-15
Genre : Science
Kind : eBook
Book Rating : 571/5 ( reviews)

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Book Synopsis The Quantum Mechanics of Many-Body Systems by : D.J. Thouless

Download or read book The Quantum Mechanics of Many-Body Systems written by D.J. Thouless. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt: "Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.

Quantum Field Theory of Many-Body Systems

2004-06-04 Science
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Release : 2004-06-04
Genre : Science
Kind : eBook
Book Rating : 968/5 ( reviews)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen. This book was released on 2004-06-04. Available in PDF, EPUB and Kindle. Book excerpt: For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Quantum Theory of Many-Body Systems

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 956/5 ( reviews)

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Book Synopsis Quantum Theory of Many-Body Systems by : Alexandre Zagoskin

Download or read book Quantum Theory of Many-Body Systems written by Alexandre Zagoskin. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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. '

Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition)

2008-05-02 Science
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Release : 2008-05-02
Genre : Science
Kind : eBook
Book Rating : 318/5 ( reviews)

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Book Synopsis Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition) by : Willem Hendrik Dickhoff

Download or read book Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition) written by Willem Hendrik Dickhoff. This book was released on 2008-05-02. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well 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 second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model.The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of 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, including finite temperature.

Physics and Mathematics of Quantum Many-Body Systems

2020-05-07 Technology & Engineering
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Release : 2020-05-07
Genre : Technology & Engineering
Kind : eBook
Book Rating : 652/5 ( reviews)

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Book Synopsis Physics and Mathematics of Quantum Many-Body Systems by : Hal Tasaki

Download or read book Physics and Mathematics of Quantum Many-Body Systems written by Hal Tasaki. This book was released on 2020-05-07. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

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