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The Bethe Wavefunction
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Book Synopsis The Bethe Wavefunction by : Michel Gaudin
Download or read book The Bethe Wavefunction written by Michel Gaudin and published by Cambridge University Press. This book was released on 2014-03-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics. Available in English for the first time, this translation brings his classic work to a new generation of graduate students and researchers in physics. It presents a mixture of mathematics interspersed with powerful physical intuition, retaining the author's unmistakably honest tone. The book begins with the Heisenberg spin chain, starting from the coordinate Bethe Ansatz and culminating in a discussion of its thermodynamic properties. Delta-interacting bosons (the Lieb-Liniger model) are then explored, and extended to exactly solvable models associated to a reflection group. After discussing the continuum limit of spin chains, the book covers six- and eight-vertex models in extensive detail, from their lattice definition to their thermodynamics. Later chapters examine advanced topics such as multi-component delta-interacting systems, Gaudin magnets and the Toda chain.
Book Synopsis The Bethe Wavefunction by : Michel Gaudin
Download or read book The Bethe Wavefunction written by Michel Gaudin and published by Cambridge University Press. This book was released on 2014-03-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translation of an influential book on exactly solvable models of many-body physics for graduate students and researchers in physics.
Book Synopsis Exactly Soluble Models In Statistical Mechanics - Historical Perspectives And Current Status by : Christopher King
Download or read book Exactly Soluble Models In Statistical Mechanics - Historical Perspectives And Current Status written by Christopher King and published by World Scientific. This book was released on 1997-02-26 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 — the first ever conference to deal exclusively with this topic. Besides invited presentations by leading researchers in the field, the conference held a session of contributed papers by participants from throughout the world. The proceedings, which include both the invited and the contributed papers, reflect the broad range of interest in exactly soluble models as well as the diverse fields in physics and mathematics that they connect. Apart from providing concise and timely reviews, the papers in this volume give a snapshot of the current state of affairs. The topics covered range from a historical survey of the field (by E H Lieb) to the latest formulation of a star-star transformation of spin models (by R J Baxter).
Book Synopsis Quantum Inverse Scattering Method and Correlation Functions by : V. E. Korepin
Download or read book Quantum Inverse Scattering Method and Correlation Functions written by V. E. Korepin and published by Cambridge University Press. This book was released on 1997-03-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.
Book Synopsis Quantum Mechanics of One- and Two-Electron Atoms by : Hans A. Bethe
Download or read book Quantum Mechanics of One- and Two-Electron Atoms written by Hans A. Bethe and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly all of this book is taken from an article prepared for a volume of the Encyclopedia of Physics. This article, in turn, is partly based on Dr. Norbert Rosenzweig's translation of an older article on the same subject, written by one of us (H.A.B.) about 25 years ago for the Geiger-Scheel Handbuch der Physik. To the article written last year we have added some Addenda and Errata. These Addenda and Errata refer back to some of the 79 sections of the main text and contain some misprint corrections, additional references and some notes. The aim of this book is two-fold. First, to act as a reference work on calcu lations pertaining to hydrogen-like and helium-like atoms and their comparison with experiments. However, these calculations involve a vast array of approximation methods, mathematical tricks and physical pictures, which are also useful in the application of quantum mechanics to other fields. In many sections we have given more general discussions of the methods and physical ideas than is necessary for the study of the H- and He-atom alone. We hope that this book will thus at least partly fulfill its second aim, namely to be of some use to graduate students who wish to learn "applied quantum mechanics". A basic knowledge of the principles of quantum mechanics, such as given in the early chapters of Schiff's or Bohm's book, is presupposed.
Book Synopsis Lectures on the Theory of the Nucleus by : A. G. Sitenko
Download or read book Lectures on the Theory of the Nucleus written by A. G. Sitenko and published by Elsevier. This book was released on 2014-06-28 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an advanced and up-to-date account of the theory of nuclear structure and discusses in considerable detail both the superfluid and collective models of the nucleus, in addition to earlier complementary models and theories. The book also examines other important topics such as the rotational and vibrational spectra of nuclei which have not previously been treated in such depth. To summarize, it covers a large amount of theoretical ground in one volume and attempts to fill a serious gap in the literature. Many problems are included
Book Synopsis Wavefunctions and Mechanisms from Electron Scattering Processes by : F.A. Gianturco
Download or read book Wavefunctions and Mechanisms from Electron Scattering Processes written by F.A. Gianturco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The One-Dimensional Hubbard Model by : Fabian H. L. Essler
Download or read book The One-Dimensional Hubbard Model written by Fabian H. L. Essler and published by Cambridge University Press. This book was released on 2005-02-07 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.
Book Synopsis Nonlinear Waves: Classical and Quantum Aspects by : Fatkhulla Abdullaev
Download or read book Nonlinear Waves: Classical and Quantum Aspects written by Fatkhulla Abdullaev and published by Springer Science & Business Media. This book was released on 2006-03-02 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Book Synopsis Quantum Communication and Information Technologies by : Alexander S. Shumovsky
Download or read book Quantum Communication and Information Technologies written by Alexander S. Shumovsky and published by Springer Science & Business Media. This book was released on 2003-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Remarkable recent developments in the field of quantum communications and quantum information processing include the achievement of quantum teleportation, quantum communication channels based on entangled states, and the discovery of quantum computing algorithms. The present book addresses the physical foundations of the subject, as well as the technological problems, discussing such aspects as photonics, quantum imaging, engineered entanglement in atomic and other physical systems, Bose-Einstein condensation, and decoherence. Indispensable reading for graduates and Ph.D. students in departments of physics, electrical and electronic engineering, mathematics, and computer science seeking both an orientation as well as advanced training in the field.
Download or read book Advances in Quantum Chemistry written by and published by Academic Press. This book was released on 1975-12-18 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry
Book Synopsis Relativistic Deuteron Wavefunctions by : John Stanley Hornstein
Download or read book Relativistic Deuteron Wavefunctions written by John Stanley Hornstein and published by . This book was released on 1975 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Beautiful Models by : Bill Sutherland
Download or read book Beautiful Models written by Bill Sutherland and published by World Scientific. This book was released on 2004 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Features; An original book - not just a collection of reprints - by an expert, and in many cases the originator, in the field; Although most of the important results are derived, the book also discusses in depth the motivation and meaning of these results; The intrinisic beauty of these models and their solution is emphasized throughout the text, in part by unique full-color figures Readership: Advanced undergraduates and graduate students in physics; non-experts interested in exactly solved quantum many-body systems.
Book Synopsis Back-of-the-envelope Quantum Mechanics: With Extensions To Many-body Systems, Integrable Pdes, And Rare And Exotic Methods (Second Edition) by : Maxim Olchanyi (Olshanii)
Download or read book Back-of-the-envelope Quantum Mechanics: With Extensions To Many-body Systems, Integrable Pdes, And Rare And Exotic Methods (Second Edition) written by Maxim Olchanyi (Olshanii) and published by World Scientific. This book was released on 2024-01-10 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dimensional and order-of-magnitude estimates are practiced by almost everybody but taught almost nowhere. When physics students engage in their first theoretical research project, they soon learn that exactly solvable problems belong only to textbooks, that numerical models are long and resource consuming, and that 'something else' is needed to quickly gain insight into the system they are going to study. Qualitative methods are this 'something else', but typically, students have never heard of them before.The aim of this book is to teach the craft of qualitative analysis using a set of problems, some with solutions and some without, in advanced undergraduate and beginning graduate Quantum Mechanics. Examples include a dimensional analysis solution for the spectrum of a quartic oscillator, simple WKB formulas for the matrix elements of a coordinate in a gravitational well, and a three-line-long estimate for the ionization energy of atoms uniformly valid across the whole periodic table. The pièce de résistance in the collection is a series of dimensional analysis questions in Integrable Nonlinear Partial Differential Equations with no dimensions existing a priori. Solved problems include the relationship between the size and the speed of solitons of the Korteweg-de Vries equation and an expression for the oscillation period of a Nonlinear Schrödinger breather as a function of its width.A new theme that appears in the second edition are the rare and exotic methods in elementary quantum mechanics. The new chapter covers quantum-mechanical supersymmetry, power index method, scale invariance, self-similarity, and circle inversion.
Download or read book Theory of Nucleus written by A. Sitenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern nuclear physics is a well developed branch of physical science, with wide-ranging applications of its results in engineering and industry. At the same time, the development of a consistent theory of nuclei and nuclear processes presents certain problems. It is well known that the most important aim of nuclear physics is the study of nuclear structure and the explanation of properties on the basis of the interaction between nucleons which constitute nuclei. Difficulties of a modern theory of the nucleus are caused by both an insufficient knowledge of nuclear interactions and the multi particle character of nuclear systems. Experimental data on nuclear interactions do not contradict the hypothesis of the pair character of nuclear forces. However, the absence of rigorous meth ods of calculations of many particle nuclear systems with strong interaction makes it necessary to use macroscopic nuclear models to describe particular nuclear properties. Nuclear models have been developed in different ways, and the models themselves have been modified and complicated. In spite of the visible discrepancy, different models of the nucleus significantly supple ment one another. The development of nuclear models has led to considerable progress in the understanding of atomic nuclei. The current results of theo retical nuclear physics are reported in numerous scientific papers. The most important and relevant experimental and theoretical results can be found in many monographs, the best of which are written by well-known experts in the field.
Book Synopsis The Bethe Ansatz and One-dimensional Magnetic Systems by : Michael Durnan Johnson
Download or read book The Bethe Ansatz and One-dimensional Magnetic Systems written by Michael Durnan Johnson and published by . This book was released on 1986 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Progress in Few-Body Physics by : N. A. Orr
Download or read book Recent Progress in Few-Body Physics written by N. A. Orr and published by Springer Nature. This book was released on 2020-01-06 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few-body physics covers a rich and wide variety of phenomena, ranging from the very lowest energy scales of atomic and molecular physics to high-energy particle physics. The papers contained in the present volume provide an apercu of recent progress in the field from both the theoretical and experimental perspectives and are based on work presented at the “22nd International Conference on Few-Body Problems in Physics”. This book is geared towards academics and graduate students involved in the study of systems which present few-body characteristics and those interested in the related mathematical and computational techniques.
