The Many Body Problem In Quantum Mechanics

Author : Norman Henry March,W. H. Young,S. Sampanthar
Publisher : Courier Corporation
Page : 482 pages
File Size : 48,9 Mb
Release : 1995-01-01
Category : Science
ISBN : 9780486687544

Get Book

The Many-Body Problem in Quantum Mechanics by Norman Henry March,W. H. Young,S. Sampanthar Pdf

Single-volume account of methods used in dealing with the many-body problem and the resulting physics. Single-particle approximations, second quantization, many-body perturbation theory, Fermi fluids, superconductivity, many-boson systems, more. Each chapter contains well-chosen problems. Only prerequisite is basic understanding of elementary quantum mechanics. 1967 edition.

Author : Philippe Andre Martin,Francois Rothen
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 43,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662084908

Get Book

Many-Body Problems and Quantum Field Theory by Philippe Andre Martin,Francois Rothen Pdf

Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.

Author : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Publisher : Oxford University Press
Page : 458 pages
File Size : 47,7 Mb
Release : 2004-09-02
Category : Science
ISBN : 9780198566335

Get Book

Many-Body Quantum Theory in Condensed Matter Physics by Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg Pdf

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 : Daniel Charles Mattis
Publisher : World Scientific
Page : 992 pages
File Size : 42,7 Mb
Release : 1993
Category : Science
ISBN : 9789810214760

Get Book

The Many-body Problem by Daniel Charles Mattis Pdf

This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space ? such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz ? can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.

Author : D.J. Thouless
Publisher : Courier Corporation
Page : 258 pages
File Size : 44,9 Mb
Release : 2014-01-15
Category : Science
ISBN : 9780486493572

Get Book

The Quantum Mechanics of Many-Body Systems by D.J. Thouless Pdf

"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.

Author : W. Glöckle
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642820816

Get Book

The Quantum Mechanical Few-Body Problem by W. Glöckle Pdf

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.

Author : Piers Coleman
Publisher : Cambridge University Press
Page : 815 pages
File Size : 50,8 Mb
Release : 2015-11-26
Category : Science
ISBN : 9780521864886

Get Book

Introduction to Many-Body Physics by Piers Coleman Pdf

This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.

Author : A. F. Tsander
Publisher : Unknown
Page : 4 pages
File Size : 42,6 Mb
Release : 1953
Category : Many-body problem
ISBN : UOM:39015095114156

Get Book

On the Many-body Problem in Quantum Mechanics by A. F. Tsander Pdf

Author : Alexandre Zagoskin
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461205951

Get Book

Quantum Theory of Many-Body Systems by Alexandre Zagoskin Pdf

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 : Erich W. Schmid,Horst Zieģelmann
Publisher : Elsevier
Page : 226 pages
File Size : 52,6 Mb
Release : 2017-01-31
Category : Science
ISBN : 9781483160788

Get Book

The Quantum Mechanical Three-Body Problem by Erich W. Schmid,Horst Zieģelmann Pdf

The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonian for three particles. The chapters that follow are devoted to the Faddeev equations, including those for scattering states and transition operators, and how such equations can be solved in practice. The solution of the Faddeev equations for separable potentials and local potentials is presented, along with the use of Padé approximation to solve the Faddeev equations. This book concludes with an appraisal of variational methods for bound states, elastic and rearrangement scattering, and the breakup reaction. A promising variational method for solving the Faddeev equations is described. This book will be of value to students interested in three-particle physics and to experimentalists who want to understand better how the theoretical data are derived.

Author : Detlef Lehmann
Publisher : CRC Press
Page : 264 pages
File Size : 44,5 Mb
Release : 2004-08-30
Category : Mathematics
ISBN : 9781482286052

Get Book

Mathematical Methods of Many-Body Quantum Field Theory by Detlef Lehmann Pdf

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theo

Author : Eduardo Renato Caianiello
Publisher : Unknown
Page : 316 pages
File Size : 42,8 Mb
Release : 1964
Category : Many-body problem
ISBN : STANFORD:36105030699354

Get Book

Lectures on the Many-body Problem by Eduardo Renato Caianiello Pdf

Author : Reiner M. Dreizler,Eberhard K.U. Gross
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642861055

Get Book

Density Functional Theory by Reiner M. Dreizler,Eberhard K.U. Gross Pdf

Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics. This book describes the conceptual framework of density functional theory and discusses in detail the derivation of explicit functionals from first principles as well as their application to Coulomb systems. Both non-relativistic and relativistic systems are treated. The connection of density functional theory with other many-body methods is highlighted. The presentation is self-contained; the book is, thus, well suited for a graduate course on density functional theory.

Author : Theodore David Schultz
Publisher : CRC Press
Page : 162 pages
File Size : 50,6 Mb
Release : 1987
Category : Science
ISBN : 067701130X

Get Book

Quantum Field Theory and the Many-body Problem by Theodore David Schultz Pdf

Author : Hal Tasaki
Publisher : Springer Nature
Page : 534 pages
File Size : 43,6 Mb
Release : 2020-05-07
Category : Technology & Engineering
ISBN : 9783030412654

Get Book

Physics and Mathematics of Quantum Many-Body Systems by Hal Tasaki Pdf

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.