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Author: R.G. Newton
Publisher: Springer Science & Business Media
ISBN: 3642881289
Category : Science
Languages : en
Pages : 758
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Book Description
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: R.G. Newton
Publisher: Springer Science & Business Media
ISBN: 3642881289
Category : Science
Languages : en
Pages : 758
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Book Description
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: Courier Corporation
ISBN: 0486425355
Category : Science
Languages : en
Pages : 772
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Book Description
This volume crosses the boundaries of physics' traditional subdivisions to treat scattering theory within the context of classical electromagnetic radiation, classical particle mechanics, and quantum mechanics. Includes updates on developments in three-particle collisions, scattering by noncentral potentials, and inverse scattering problems. 1982 edition.
Author: Roger G. Newton
Publisher:
ISBN: 9783642881299
Category :
Languages : en
Pages : 768
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Book Description
Author: P.K. Verma
Publisher: Atlantic Publishers & Dist
ISBN: 9788126903849
Category : Quantum theory
Languages : en
Pages : 208
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Book Description
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: Newton RG.
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Tom Rother
Publisher: Springer
ISBN: 3642367453
Category : Science
Languages : en
Pages : 368
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Book Description
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: Michael Reed
Publisher: Academic Press
ISBN:
Category : Mathematics
Languages : en
Pages : 488
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Book Description
Volume 3.
Author: Luiz Felipe Canto
Publisher: World Scientific
ISBN: 9814329843
Category : Science
Languages : en
Pages : 646
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Book Description
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 atomic/molecular scattering from those of nuclear systems, are shown to be the same once physical units such as energy and 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 also lean heavily on semi-classical methods to explain the physics of quantum scattering OCo especially the interference seen in the angle dependence of the cross section. Having in mind a wide 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
Publisher: World Scientific
ISBN: 9814507431
Category : Technology & Engineering
Languages : en
Pages : 273
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Book Description
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: Michael Reed
Publisher: Academic Press
ISBN:
Category : Mathematics
Languages : en
Pages : 490
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Book Description
Volume 3.