Scattering Theory Of Waves And Particles

Author : R.G. Newton
Publisher : Springer Science & Business Media
Page : 758 pages
File Size : 43,7 Mb
Release : 2013-11-27
Category : Science
ISBN : 9783642881282

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Scattering Theory of Waves and Particles by R.G. Newton Pdf

Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.

Author : Roger G Newton
Publisher : Springer
Page : 745 pages
File Size : 45,7 Mb
Release : 2014-04-18
Category : Science
ISBN : 3642881300

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Scattering Theory of Waves and Particles by Roger G Newton Pdf

Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.

Author : Michael Reed,Barry Simon
Publisher : Academic Press
Page : 488 pages
File Size : 51,9 Mb
Release : 1979-04-28
Category : Mathematics
ISBN : UOM:39015015132841

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III: Scattering Theory by Michael Reed,Barry Simon Pdf

Volume 3.

Author : John R. Taylor
Publisher : Courier Corporation
Page : 512 pages
File Size : 40,5 Mb
Release : 2012-05-23
Category : Technology & Engineering
ISBN : 9780486142074

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Scattering Theory by John R. Taylor Pdf

This graduate-level text, intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering, emphasizes the time-dependent approach. 1983 edition.

Author : L.D. Faddeev,S.P. Merkuriev
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 48,7 Mb
Release : 2013-04-18
Category : Science
ISBN : 9789401728324

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Quantum Scattering Theory for Several Particle Systems by L.D. Faddeev,S.P. Merkuriev Pdf

The last decade witnessed an increasing interest of mathematicians in prob lems originated in mathematical physics. As a result of this effort, the scope of traditional mathematical physics changed considerably. New problems es pecially those connected with quantum physics make use of new ideas and methods. Together with classical and functional analysis, methods from dif ferential geometry and Lie algebras, the theory of group representation, and even topology and algebraic geometry became efficient tools of mathematical physics. On the other hand, the problems tackled in mathematical physics helped to formulate new, purely mathematical, theorems. This important development must obviously influence the contemporary mathematical literature, especially the review articles and monographs. A considerable number of books and articles appeared, reflecting to some extend this trend. In our view, however, an adequate language and appropriate methodology has not been developed yet. Nowadays, the current literature includes either mathematical monographs occasionally using physical terms, or books on theoretical physics focused on the mathematical apparatus. We hold the opinion that the traditional mathematical language of lem mas and theorems is not appropriate for the contemporary writing on mathe matical physics. In such literature, in contrast to the standard approaches of theoretical physics, the mathematical ideology must be utmost emphasized and the reference to physical ideas must be supported by appropriate mathe matical statements. Of special importance are the results and methods that have been developed in this way for the first time.

Author : Tom Rother,Michael Kahnert
Publisher : Springer
Page : 368 pages
File Size : 47,9 Mb
Release : 2013-09-19
Category : Science
ISBN : 9783642367458

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Electromagnetic Wave Scattering on Nonspherical Particles by Tom Rother,Michael Kahnert Pdf

This book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles. Beside the systematically developed Green’s function formalism of the first edition this second and enlarged edition contains additional material regarding group theoretical considerations for nonspherical particles with boundary symmetries, an iterative T-matrix scheme for approximate solutions, and two additional but basic applications. Moreover, to demonstrate the advantages of the group theoretical approach and the iterative solution technique, the restriction to axisymmetric scatterers of the first edition was abandoned.

Author : P.K. Verma
Publisher : Atlantic Publishers & Dist
Page : 204 pages
File Size : 54,6 Mb
Release : 2005
Category : Quantum theory
ISBN : 8126903848

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Elementary Theory of Scattering by P.K. Verma Pdf

The Book Elementary Theory Of Scattering Contains Vector Representation, Linear Operator, Matrix Representation, Schrodinger Picture, Heisenberg Picture, Interaction Picture, Hilbert Space, And Their Applications In Theory Of Scattering. All Standard Integrals And Functions Like Bessel S Function, Green S Function And Fourier Series Have Been Properly Presented To Illustrate The Theory Of Scattering.Transition-Matrix, S-Matrix And Modified Born-Approximation Are Included So That Scattering Theory Can Be Conveniently Comprehended And Extended As Per The Need Of The Interactions.It Is Compatible With The Courses Of Studies Of Honours Degree And Postgraduate Levels.

Author : Asim Orhan Barut
Publisher : Unknown
Page : 448 pages
File Size : 49,5 Mb
Release : 1969
Category : Science
ISBN : UOM:39015001327900

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Scattering Theory by Asim Orhan Barut Pdf

Author : Baumgärtel,Wollenberg
Publisher : Birkhäuser
Page : 448 pages
File Size : 42,8 Mb
Release : 2013-12-11
Category : Science
ISBN : 9783034854405

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Mathematical Scattering Theory by Baumgärtel,Wollenberg Pdf

The aim of this book is to give a systematic and self-contained presentation of the Mathematical Scattering Theory within the framework of operator theory in Hilbert space. The term Mathematical Scattering Theory denotes that theory which is on the one hand the common mathematical foundation of several physical scattering theories (scattering of quantum objects, of classical waves and particles) and on the other hand a branch of operator theory devoted to the study of the behavior of the continuous part of perturbed operators (some authors also use the term Abstract Scattering Theory). EBBential contributions to the development of this theory are due to K. FRIEDRICHS, J. CooK, T. KATo, J. M. JAuCH, S. T. KURODA, M.S. BmMAN, M.G. KREiN, L. D. FAD DEEV, R. LAVINE, W. 0. AMREIN, B. SIMoN, D. PEARSON, V. ENss, and others. It seems to the authors that the theory has now reached a sufficiently developed state that a self-contained presentation of the topic is justified.

Author : Luiz Felipe Canto,M. S. Hussein
Publisher : World Scientific
Page : 646 pages
File Size : 44,6 Mb
Release : 2013
Category : Science
ISBN : 9789814329835

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Scattering Theory of Molecules, Atoms, and Nuclei by Luiz Felipe Canto,M. S. Hussein Pdf

The aim of the book is to give a coherent and comprehensive account of quantum scattering theory with applications to atomic, molecular and nuclear systems. The motivation for this is to supply the necessary theoretical tools to calculate scattering observables of these many-body systems. Concepts, which are seemingly different for the atomic/molecular scattering from those for nuclear systems, are shown to be the same once the physical units such as energy, length are diligently clarified. Many-body resonances excited in nuclear systems are the same as those in atomic systems and come under the name of Feshbach resonances. We clarify this. We also lean heavily on semi-classical methods to explain the physics of quantum scattering and especially the interference seen in the angle dependence of the cross section. Having in mind a wider readership, the book includes sections on scattering in two dimensions, which is of use in surface physics. Several problems are also included at the end of each of the chapters.

Author : Peter W. Barber,Steven C. Hill
Publisher : World Scientific
Page : 280 pages
File Size : 54,6 Mb
Release : 1990
Category : Science
ISBN : 997150832X

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Light Scattering by Particles by Peter W. Barber,Steven C. Hill Pdf

This book presents the separation-of-variables and T-matrix methods of calculating the scattering of electromagnetic waves by particles. Analytical details and computer programs are provided for determining the scattering and absorption characteristics of the finite-thickness slab, infinite circular cylinder (normal incidence), general axisymmetric particle, and sphere.The computer programs are designed to generate data that is easy to graph and visualize, and test cases in the book illustrate the capabilities of the programs. The connection between the theory and the computer programs is reinforced by references in the computer programs to equations in the text. This cross-referencing will help the reader understand the computer programs, and, if necessary, modify them for other purposes.

Author : John R. Taylor
Publisher : John Wiley & Sons
Page : 504 pages
File Size : 40,9 Mb
Release : 1972-06-16
Category : Science
ISBN : UOM:39015017212757

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Scattering Theory by John R. Taylor Pdf

Author : Bernd Thaller
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 45,7 Mb
Release : 2007-05-08
Category : Science
ISBN : 9780387227702

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Visual Quantum Mechanics by Bernd Thaller Pdf

"Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.

Author : Tom Rother
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 54,6 Mb
Release : 2009-12-04
Category : Science
ISBN : 9783642007033

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Electromagnetic Wave Scattering on Nonspherical Particles by Tom Rother Pdf

Scatteringofelectromagneticwavesonthree-dimensional,dielectricstructures is a basic interaction process in physics, which is also of great practical - portance. Most of our visual impressions are caused not by direct but by scattered light, as everybody can experience of looking directly at the sun. Several modern measurement technologies in technical and medical diagn- tics are also based on this interaction process. Atmospheric remote sensing with lidar and radar as well as nephelometer instruments for measuring s- pended particulates in a liquid or gas colloid are only a few examples where scattered electromagnetic waves provide us with information concerning the structure and consistence of the objects under consideration. Using the inf- mation of the elastically scattered electromagnetic wave is a common ground of most of those measuring methods. The phrase “elastically scattered” - presses the restriction that we consider such interaction processes only where the scattered wave possesses the same wavelength as the primary incident wave. This book addresses this special scattering problem.

Author : Ta-you Wu,Takashi Ohmura
Publisher : Courier Corporation
Page : 530 pages
File Size : 45,9 Mb
Release : 2014-01-15
Category : Science
ISBN : 9780486320694

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Quantum Theory of Scattering by Ta-you Wu,Takashi Ohmura Pdf

This volume addresses the broad formal aspects and applications of the quantum theory of scattering in atomic and nuclear collisions. An encyclopedic source of pioneering work, it serves as a text for students and a reference for professionals in the fields of chemistry, physics, and astrophysics. The self-contained treatment begins with the general theory of scattering of a particle by a central field. Subsequent chapters explore particle scattering by a non-central field, collisions between composite particles, the time-dependent theory of scattering, and nuclear reactions. An examination of dispersion relations concludes the text. Numerous graphs, tables, and footnotes illuminate each chapter, in addition to helpful appendixes and bibliographies.