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Inverse And Algebraic Quantum Scattering Theory
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Book Synopsis Inverse and Algebraic Quantum Scattering Theory by : Barnabas Apagyi
Download or read book Inverse and Algebraic Quantum Scattering Theory written by Barnabas Apagyi and published by Springer. This book was released on 2013-12-30 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains three interrelated, beautiful, and useful topics of quantum scattering theory: inverse scattering theory, algebraic scattering theory and supersymmetrical quantum mechanics. The contributions cover such issues as coupled-channel inversions at fixed energy, inversion of pion-nucleon scattering cross-sections into potentials, inversions in neutron and x-ray reflection, 3-dimensional fixed-energy inversion, inversion of electron scattering data affected by dipole polarization, nucleon-nucleon potentials by inversion versus meson-exchange theory, potential reversal and reflectionless impurities in periodic structures, quantum design in spectral, scattering, and decay control, solution hierarchy of Toda lattices, etc.
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 The Inverse Problem of Scattering Theory by : Z.S. Agranovich
Download or read book The Inverse Problem of Scattering Theory written by Z.S. Agranovich and published by Courier Dover Publications. This book was released on 2020-05-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph by two Soviet experts in mathematical physics was a major contribution to inverse scattering theory. The two-part treatment examines the boundary-value problem with and without singularities. 1963 edition.
Book Synopsis Operator Theory and Its Applications by : Alexander G. Ramm
Download or read book Operator Theory and Its Applications written by Alexander G. Ramm and published by American Mathematical Soc.. This book was released on 2000 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas."--BOOK JACKET.
Book Synopsis Inverse Problems in Quantum Scattering Theory by : Khosrow Chadan
Download or read book Inverse Problems in Quantum Scattering Theory written by Khosrow Chadan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The normal business of physicists may be schematically thought of as predic ting the motions of particles on the basis of known forces, or the propagation of radiation on the basis of a known constitution of matter. The inverse problem is to conclude what the forces or constitutions are on the basis of the observed motion. A large part of our sensory contact with the world around us depends on an intuitive solution of such an inverse problem: We infer the shape, size, and surface texture of external objects from their scattering and absorption of light as detected by our eyes. When we use scattering experiments to learn the size or shape of particles, or the forces they exert upon each other, the nature of the problem is similar, if more refined. The kinematics, the equations of motion, are usually assumed to be known. It is the forces that are sought, and how they vary from point to point. As with so many other physical ideas, the first one we know of to have touched upon the kind of inverse problem discussed in this book was Lord Rayleigh (1877). In the course of describing the vibrations of strings of variable density he briefly discusses the possibility of inferring the density distribution from the frequencies of vibration. This passage may be regarded as a precursor of the mathematical study of the inverse spectral problem some seventy years later.
Book Synopsis Quantum Inversion Theory and Applications by : H.V.v. Geramb
Download or read book Quantum Inversion Theory and Applications written by H.V.v. Geramb and published by Springer. This book was released on 2018-05-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers aspects of Schr|dinger equation inversion for the purposeof determining interaction potentials in particle, nuclear and atomic physics from experimental data. It includes reviews and reports on the latest developments in mathematics, supersymmetric quantum mechanics, inversion for fixed-l nucleon-nucleon potentials, inversion of fixed-E optical potentials and their generalizations. Also included are some topics on nonlinear differential equations relating to theSchr|dinger or other equations of particle, nuclear, atomic and molecular physics which can be solved by inverse scattering transformations. The material collected in this volume gives a clear picture of the status ofresearch in this rapidly growing field. The book addresses students and young scientists as well as researchers in theoretical physics and functional analysis.
Book Synopsis An Introduction To Inverse Problems In Physics by : Mohsen Razavy
Download or read book An Introduction To Inverse Problems In Physics written by Mohsen Razavy and published by World Scientific. This book was released on 2020-05-21 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.
Book Synopsis An Introduction to Inverse Scattering and Inverse Spectral Problems by : Khosrow Chadan
Download or read book An Introduction to Inverse Scattering and Inverse Spectral Problems written by Khosrow Chadan and published by SIAM. This book was released on 1997-01-01 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.
Download or read book Theory of Solitons written by S. Novikov and published by Springer Science & Business Media. This book was released on 1984-05-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuous Optimization by : V. Jeyakumar
Download or read book Continuous Optimization written by V. Jeyakumar and published by Springer Science & Business Media. This book was released on 2006-03-09 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous optimization is the study of problems in which we wish to opti mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables. It has its foundation in the development of calculus by Newton and Leibniz in the 17*^ century. Nowadys, continuous optimization problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Solution methods for large multivariable constrained continuous optimiza tion problems using computers began with the work of Dantzig in the late 1940s on the simplex method for linear programming problems. Recent re search in continuous optimization has produced a variety of theoretical devel opments, solution methods and new areas of applications. It is impossible to give a full account of the current trends and modern applications of contin uous optimization. It is our intention to present a number of topics in order to show the spectrum of current research activities and the development of numerical methods and applications.
Author :Philippe Blanchard Publisher :Springer Science & Business Media ISBN 13 :9783540652182 Total Pages :266 pages Book Rating :4.6/5 (521 download)
Book Synopsis Quantum Future by : Philippe Blanchard
Download or read book Quantum Future written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 1999-02-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents detailed discussions of a number of unsolved conceptual and technical issues arising, in particular, in the foundations of quantum theory and the philosophy of science. The 14 contributions capture a wide variety of viewpoints and backgrounds. Some chapters deal primarily with the main experimental issues; others focus on theoretical and philosophical questions. In addition, attempts are made to systematically analyze ways in which quantum physics can be connected to the neurosciences and consciousness research.
Book Synopsis X-Ray Spectroscopy in Astrophysics by : Jan van Paradijs
Download or read book X-Ray Spectroscopy in Astrophysics written by Jan van Paradijs and published by Springer Science & Business Media. This book was released on 1999-02-17 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a comprehensive treatment of X-ray spectroscopy, as applied in astrophysics. It is presented in the form of extensive notes of lectures given by seven distinguished scientists at the Tenth Summer School of the European Astrophysics Doctoral Network. The subjects covered are: basic line and continuum radiation processes in X-ray and gamma-ray astronomy; atomic physics of collision- and radiation-dominated plasmas; X-ray spectroscopic observations with ASCA and BeppoSAX; future X-ray spectroscopy missions; X-ray optics, and X-ray spectroscopy instrumentation. The book, which will appeal to both researchers and graduate students, is timely in view of the scheduled launches of the big X-ray observatories AXAF and XMM in 1999.
Book Synopsis A Perspective Look at Nonlinear Media by : Jürgen Parisi
Download or read book A Perspective Look at Nonlinear Media written by Jürgen Parisi and published by Springer Science & Business Media. This book was released on 1998-02-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts of nonlinear physics are applied to an increasing number of research disciplines. With this volume, the editors offer a selection of articles on nonlinear topics in progress, ranging from physics and chemistry to biology and some applications of social science. The book covers quantum optics, electron crystallization, cellular or flow patterns in fluids and in granular media, biological systems, and the control of brain structures via neuronal excitation. Chemical patterns are looked at both in bulk solutions and on surfaces in heterogeneous systems. From regular structures, the authors turn to the more complex behavior in biology and physics, such as hydrodynamical turbulence, low-dimensional dynamics in solid-state physics, and gravity.
Download or read book Impacts on Earth written by Daniel Benest and published by Springer Science & Business Media. This book was released on 1998-03-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impact phenomena play an essential role in the formation of planets and great influence during their evolution. The first part of this book describes the dynamics that propels asteroids in our solar system; the second part is devoted to impact phenomena; the third inspects terrestrial impacts of asteroids and the hazards due to space debris orbiting our planet. The book addresses scientists working in astronomy, extraterrestrial physics and geophysics. But it should also be of great interest to a learned public that wants to know about the most recent developments in this fast-moving field of theoretical and observational research.
Book Synopsis Confronting The Infinite - Proceedings Of A Conference In Celebration Of The Years Of H S Green And C A Hurst by : Paul A Pearce
Download or read book Confronting The Infinite - Proceedings Of A Conference In Celebration Of The Years Of H S Green And C A Hurst written by Paul A Pearce and published by World Scientific. This book was released on 1995-10-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1992, students of Bert Green and Angas Hurst conceived the idea of a meeting to commemorate their contributions to Mathematical Physics and to celebrate their passing the milestone of three score years and ten.In designing the scientific program there were two objectives. The first was to cover the full breadth of research in Mathematical Physics at Adelaide University since the founding of the Department of Mathematical Physics with the appointment of Professor Green in 1952. The second was to seek original contributions in areas of current interest and rapid development. The underlying theme was the interaction of mathematics and physics in the key areas of relativity, quantum field theory and statistical physics.The contributions to this volume consist of papers describing the historical development of ideas in which Adelaide mathematical physicists have played a role, surveys, research announcements and of course original research. The influence of Bert and Angas on the research results and themes developed in this volume is easily seen through the historical or survey material or because some papers describe work in which one or other is a past or indeed present collaborator.
Book Synopsis Mathematical Theory of Scattering Resonances by : Semyon Dyatlov
Download or read book Mathematical Theory of Scattering Resonances written by Semyon Dyatlov and published by American Mathematical Soc.. This book was released on 2019-09-10 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.
Book Synopsis Integrable Quantum Field Theories by : L. Bonora
Download or read book Integrable Quantum Field Theories written by L. Bonora and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992
