Inverse And Algebraic Quantum Scattering Theory

DOWNLOAD

Download Inverse And Algebraic Quantum Scattering Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Inverse And Algebraic Quantum Scattering Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Quantum Inverse Scattering Method And Correlation Functions

DOWNLOAD
Author : V. E. Korepin
language : en
Publisher: Cambridge University Press
Release Date : 1997-03-06

Quantum Inverse Scattering Method And Correlation Functions written by V. E. Korepin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-06 with Mathematics categories.

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.

A Qualitative Approach To Inverse Scattering Theory

DOWNLOAD
Author : Fioralba Cakoni
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-28

A Qualitative Approach To Inverse Scattering Theory written by Fioralba Cakoni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-28 with Mathematics categories.

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the scattering object. This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues. In order to aid the reader coming from a discipline outside of mathematics we have included background material on functional analysis, Sobolev spaces, the theory of ill posed problems and certain topics in in the theory of entire functions of a complex variable. This book is an updated and expanded version of an earlier book by the authors published by Springer titled Qualitative Methods in Inverse Scattering Theory Review of Qualitative Methods in Inverse Scattering Theory All in all, the authors do exceptionally well in combining such a wide variety of mathematical material and in presenting it in a well-organized and easy-to-follow fashion. This text certainly complements the growing body of work in inverse scattering and should well suit both new researchers to the field as well as those who could benefit from such a nice codified collection of profitable results combined in one bound volume. SIAM Review, 2006

The Inverse Problem Of Scattering Theory

DOWNLOAD
Author : Z.S. Agranovich
language : en
Publisher: Courier Dover Publications
Release Date : 2020-05-21

The Inverse Problem Of Scattering Theory written by Z.S. Agranovich and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-21 with Mathematics categories.

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.

Inverse And Algebraic Quantum Scattering Theory

DOWNLOAD
Author : Barnabas Apagyi
language : en
Publisher:
Release Date : 2014-10-01

Inverse And Algebraic Quantum Scattering Theory written by Barnabas Apagyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-01 with categories.

Integral Equation Methods In Scattering Theory

DOWNLOAD
Author : David Colton
language : en
Publisher: SIAM
Release Date : 2013-11-15

Integral Equation Methods In Scattering Theory written by David Colton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-15 with Mathematics categories.

This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Inverse And Algebraic Quantum Scattering Theory

DOWNLOAD
Author : Barnabas Apagyi
language : en
Publisher:
Release Date : 1997-01

Inverse And Algebraic Quantum Scattering Theory written by Barnabas Apagyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01 with categories.

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.

Theory Of Solitons

DOWNLOAD
Author : S. Novikov
language : en
Publisher: Springer Science & Business Media
Release Date : 1984-05-31

Theory Of Solitons written by S. Novikov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-05-31 with Mathematics categories.

Operator Theory And Its Applications

DOWNLOAD
Author : Alexander G. Ramm
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Operator Theory And Its Applications written by Alexander G. Ramm and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

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.

Inverse Problems In Quantum Scattering Theory

DOWNLOAD
Author : K. Chadan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

Inverse Problems In Quantum Scattering Theory written by K. Chadan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Science categories.

Continuous Optimization

DOWNLOAD
Author : V. Jeyakumar
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-09

Continuous Optimization written by V. Jeyakumar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-09 with Mathematics categories.

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.