The Quantum Mechanical Few-Body Problem

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Release : 2012-12-06
Genre : Science
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Book Rating : 816/5 ( reviews)

The Quantum Mechanical Few-Body Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Quantum Mechanical Few-Body Problem write by W. Glöckle. This book was released on 2012-12-06. The Quantum Mechanical Few-Body Problem available in PDF, EPUB and Kindle. Few-body systems are both technically relatively simple and physically non trivial enough to test theories quantitatively. For instance the He-atom played historically an important role in verifying predictions of QED. A similar role is contributed nowadays to the three-nucleon system as a testing ground far nuclear dynamics and maybe in the near future to few-quark systems. They are also often the basic building blocks for many-body systems like to some extent nuclei, where the real many-body aspect is not the dominant feature. The presentation of the subject given here is based on lectures held at var ious places in the last ten years. The selection of the topics is certainly subjec tive and influenced by my own research interests. The content of the book is simply organized according to the increasing nu mb er of particles treated. Be cause of its conceptual simplicity single particle motion is very suitable for in troducing the basic elements of scattering theory. Using these elements the two-body system is treated for the specific case of two nucleons, which is of great importance in the study of the nuclear interaction. Great space is devoted to the less trivial few-body system consisting of three particles. Again physical examples are taken solely from nuclear physics. Finally the four particle system is discussed so as to familiarize the reader with the techniques required for the formulations of n-bodies in general.

Physics and Mathematics of Quantum Many-Body Systems

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

Physics and Mathematics of Quantum Many-Body Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Physics and Mathematics of Quantum Many-Body Systems write by Hal Tasaki. This book was released on 2020-05-07. Physics and Mathematics of Quantum Many-Body Systems available in PDF, EPUB and Kindle. 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.

Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems

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Release : 2003-07-01
Genre : Science
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Book Rating : 41X/5 ( reviews)

Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems write by Yasuyuki Suzuki. This book was released on 2003-07-01. Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems available in PDF, EPUB and Kindle. The quantum-mechanical few-body problem is of fundamental importance for all branches of microphysics and it has substantially broadened with the advent of modern computers. This book gives a simple, unified recipe to obtain precise solutions to virtually any few-body bound-state problem and presents its application to various problems in atomic, molecular, nuclear, subnuclear and solid state physics. The main ingredients of the methodology are a wave-function expansion in terms of correlated Gaussians and an optimization of the variational trial function by stochastic sampling. The book is written for physicists and, especially, for graduate students interested in quantum few-body physics.

The Quantum Mechanics of Many-Body Systems

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

The Quantum Mechanics of Many-Body Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Quantum Mechanics of Many-Body Systems write by D.J. Thouless. This book was released on 2014-01-15. The Quantum Mechanics of Many-Body Systems available in PDF, EPUB and Kindle. "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 Theory of Many-Body Systems

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

Quantum Theory of Many-Body Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Theory of Many-Body Systems write by Alexandre Zagoskin. This book was released on 2012-12-06. Quantum Theory of Many-Body Systems available in PDF, EPUB and Kindle. 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. '