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Author : Erik Balslev
Publisher : Springer
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book Schrödinger Operators written by Erik Balslev and published by Springer. This book was released on 1992 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erik Balslev
Publisher :
ISBN 13 : 9783662138878
Total Pages : 276 pages
Book Rating : 4.1/5 (388 download)
Download or read book Schrodinger Operators the Quantum Mechanical Many-Body Problem written by Erik Balslev and published by . This book was released on 2014-10-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hiroshi Isozaki
Publisher : Springer Nature
ISBN 13 : 9819937043
Total Pages : 411 pages
Book Rating : 4.8/5 (199 download)
Download or read book Many-Body Schrödinger Equation written by Hiroshi Isozaki and published by Springer Nature. This book was released on 2023-08-28 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem. However, many problems are left open for the stationary N-particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for N-body Schrödinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the N-body problem from both the time-dependent and stationary viewpoints. The main themes are:(1) The Mourre theory for the resolvent of self-adjoint operators(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach(3) Time-dependent approach to N-body Schrödinger operators(4) Eigenfunction expansion theory for three-body Schrödinger operatorsCompared with existing books for the many-body problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schrödinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schrödinger operators and standard knowledge for future development.
Author : Daniel Charles Mattis
Publisher : World Scientific
ISBN 13 : 9810214766
Total Pages : 992 pages
Book Rating : 4.8/5 (12 download)
Download or read book The Many-body Problem written by Daniel Charles Mattis and published by World Scientific. This book was released on 1993 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Erik Balslev
Publisher : Springer
ISBN 13 : 3540471073
Total Pages : 272 pages
Book Rating : 4.5/5 (44 download)
Download or read book Schrödinger Operators The Quantum Mechanical Many-Body Problem written by Erik Balslev and published by Springer. This book was released on 2005-08-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these proceedings basic questions regarding n-body Schr|dinger operators are dealt with, such as asymptotic completeness of systems with long-range potentials (including Coulomb), a new proof of completeness for short-range potentials, energy asymptotics of large Coulomb systems,asymptotic neutrality of polyatomic molecules. Other contributions deal withdifferent types of problems, such as quantum stability, Schr|dinger operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schr|dinger operators and stochastic spectral analysis. The volume presents the results in such detail that it could well serve as basic literature for seminar work.
Author : Norman Henry March
Publisher : Courier Corporation
ISBN 13 : 0486687546
Total Pages : 482 pages
Book Rating : 4.4/5 (866 download)
Download or read book The Many-Body Problem in Quantum Mechanics written by Norman Henry March and published by Courier Corporation. This book was released on 1995-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : W. Glöckle
Publisher : Springer Science & Business Media
ISBN 13 : 3642820816
Total Pages : 207 pages
Book Rating : 4.6/5 (428 download)
Download or read book The Quantum Mechanical Few-Body Problem written by W. Glöckle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Michael Demuth
Publisher : Springer Science & Business Media
ISBN 13 : 9783764350253
Total Pages : 376 pages
Book Rating : 4.3/5 (52 download)
Download or read book Mathematical Results in Quantum Mechanics written by Michael Demuth and published by Springer Science & Business Media. This book was released on 1994 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the International Conference on Mathematical Results in Quantum Mechanics held in Blossin, Germany, May 17-21, 1993. Its purpose is to draw attention to the recent developments in quantum mechanics and related mathematical problems. The book is addressed to the wide audience of mathematicians and physicists interested in contemporary quantum physics and associated mathematical problems. The reader will find sections not only on traditional subjects such as Schrödinger and Dirac operators and generalized Schrödinger generators, but also on stochastic spectral analysis, many-body problems and statistical physics, chaos, and operator theory and its applications. Contributors: Schrödinger and Dirac operators: M.Sh. Birman, V. Grecchi, R. Hempel, M. Hoffmann-Ostenhof, Y. Saito, G. Stolz, M. Znojil • Generalized Schrödinger operators: J.-P. Antoine, J.F. Brasche, P. Duclos, R. Hempel, M. Klein, P. Stovicek • Stochastic spectral analysis: M. Demuth, V.A. Liskevich, E.M. Ouhabaz, P. Stollmann • Many-body problems and statistical physics: M. Fannes, R. Gielerak, M. Hübner, A.M. Khorunzhy, H. Lange, N. Macris, Yu.A. Petrina, K.B. Sinha, A. Verbeure • Chaos: J. Dittrich, P. Seba, K. Zyczkowski • Operator theory and its application: F. Bentosela, V. Buslaev, A.N. Kochubei, A.Yu. Konstantinov, V. Koshmanenko, H. Neidhardt, G. Nenciu, D. Robert
Author : Erich W. Schmid
Publisher : Elsevier
ISBN 13 : 1483160785
Total Pages : 226 pages
Book Rating : 4.4/5 (831 download)
Download or read book The Quantum Mechanical Three-Body Problem written by Erich W. Schmid and published by Elsevier. This book was released on 2017-01-31 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alexandre Zagoskin
Publisher : Springer Science & Business Media
ISBN 13 : 1461205956
Total Pages : 238 pages
Book Rating : 4.4/5 (612 download)
Download or read book Quantum Theory of Many-Body Systems written by Alexandre Zagoskin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. 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. '
Author : John C. Inkson
Publisher : Springer Science & Business Media
ISBN 13 : 1475702264
Total Pages : 333 pages
Book Rating : 4.4/5 (757 download)
Download or read book Many-Body Theory of Solids written by John C. Inkson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: here exists a gap in the present literature on quantum mechanics T and its application to solids. It has been difficult to find an intro ductory textbook which could take a student from the elementary quan tum mechanical ideas of the single-particle Schrodinger equations, through the formalism and new physical concepts of many-body theory, to the level where the student would be equipped to read the scientific literature and specialized books on specific topics. The present book, which I believe fills this gap, grew out of two courses which I have given for a number of years at the University of Cambridge: "Advanced Quan tum Mechanics," covering the quantization of fields, representations, and creation and annihilation operators, and "Many Body Theory," on the application of quantum field theory to solids. The first course is a final-year undergraduate physics course while the second is a joint first and fourth-year undergraduate math year postgraduate physics course ematics course. In an American context this would closely correspond to a graduate course at the masters level. In writing this book I have tried to stress the physical aspects of the mathematics preferring where possible to introduce a technique by using a simple illustrative example rather than develop a purely formal treat ment. In order to do this I have assumed a certain familiarity with solid state physics on the level of a normal undergraduate course, but the book should also be useful to those without such a background.
Author : D.J. Thouless
Publisher : Courier Corporation
ISBN 13 : 0486493571
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Quantum Mechanics of Many-Body Systems written by D.J. Thouless and published by Courier Corporation. This book was released on 2014-01-15 with total page 258 pages. 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.
Author : Claude Bloch
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.X/5 (1 download)
Download or read book On the Quantum-mechanical Many-body Problem written by Claude Bloch and published by . This book was released on 1960 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodore David Schultz
Publisher : CRC Press
ISBN 13 : 9780677011301
Total Pages : 162 pages
Book Rating : 4.0/5 (113 download)
Download or read book Quantum Field Theory and the Many-body Problem written by Theodore David Schultz and published by CRC Press. This book was released on 1987 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Fabrocini
Publisher : World Scientific
ISBN 13 : 9789812380692
Total Pages : 432 pages
Book Rating : 4.3/5 (86 download)
Download or read book Introduction to Modern Methods of Quantum Many-body Theory and Their Applications written by A. Fabrocini and published by World Scientific. This book was released on 2002 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains pedagogical articles on the dominant non-stochastic methods of microscopic many-body theories: Density functional theory, coupled cluster theory, and correlated basis functions methods in their widest sense. Further articles introduce students to applications of these methods in front -- line research such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics of current relevance. The book addresses the striking lack of pedagogical reference literature in the field that allows researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only serve as a collection of information relevant to those who attended the school, but it provides be useful reference material to a broad range of theoretical physicists in condensed matter and nuclear theory.
Author : I.M. Sigal
Publisher : Springer
ISBN 13 : 3540386645
Total Pages : 137 pages
Book Rating : 4.5/5 (43 download)
Download or read book Scattering Theory for Many-Body Quantum Mechanical Systems written by I.M. Sigal and published by Springer. This book was released on 2006-11-15 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joel S. Feldman
Publisher : American Mathematical Soc.
ISBN 13 : 0821803662
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Quantum Theory II: Schrodinger Operators written by Joel S. Feldman and published by American Mathematical Soc.. This book was released on 1995 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this collection constitute the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The meeting was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The first area, quantum field theory and many-body theory, is covered in volume 1 of these proceedings. The second area, treated in the present volume, is Schrödinger operators. The meeting featured a series of four-hour mini-courses, designed to introduce students to the state of the art in particular areas, and thirty hour-long expository lectures. With contributions from some of the top experts in the field, this book is an important resource for those interested in activity at the frontiers of mathematical quantum theory.
