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Author | : R.G. Newton |
Publisher | : Springer Science & Business Media |
Total Pages | : 758 |
Release | : 2013-11-27 |
Genre | : Science |
ISBN | : 3642881289 |
Download Scattering Theory of Waves and Particles Book in PDF, ePub and Kindle
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 |
Total Pages | : 745 |
Release | : 2014-04-18 |
Genre | : Science |
ISBN | : 9783642881305 |
Download Scattering Theory of Waves and Particles Book in PDF, ePub and Kindle
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 | : Newton RG. |
Publisher | : |
Total Pages | : |
Release | : 1982 |
Genre | : |
ISBN | : |
Download Scattering Theory of Waves and Particles Book in PDF, ePub and Kindle
Author | : John R. Taylor |
Publisher | : Courier Corporation |
Total Pages | : 512 |
Release | : 2012-05-23 |
Genre | : Technology & Engineering |
ISBN | : 0486142078 |
Download Scattering Theory Book in PDF, ePub and Kindle
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 | : Tom Rother |
Publisher | : Springer |
Total Pages | : 368 |
Release | : 2013-09-19 |
Genre | : Science |
ISBN | : 3642367453 |
Download Electromagnetic Wave Scattering on Nonspherical Particles Book in PDF, ePub and Kindle
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 | : Peter W Barber |
Publisher | : World Scientific |
Total Pages | : 273 |
Release | : 1990-07-09 |
Genre | : Technology & Engineering |
ISBN | : 9814507431 |
Download Light Scattering By Particles: Computational Methods Book in PDF, ePub and Kindle
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 |
Total Pages | : 488 |
Release | : 1979-04-28 |
Genre | : Mathematics |
ISBN | : |
Download III: Scattering Theory Book in PDF, ePub and Kindle
Volume 3.
Author | : Baumgärtel |
Publisher | : Birkhäuser |
Total Pages | : 448 |
Release | : 2013-12-11 |
Genre | : Science |
ISBN | : 3034854404 |
Download Mathematical Scattering Theory Book in PDF, ePub and Kindle
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 | : P.K. Verma |
Publisher | : Atlantic Publishers & Dist |
Total Pages | : 208 |
Release | : 2005 |
Genre | : Quantum theory |
ISBN | : 9788126903849 |
Download Elementary Theory of Scattering Book in PDF, ePub and Kindle
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 | : Bernd Thaller |
Publisher | : Springer Science & Business Media |
Total Pages | : 283 |
Release | : 2007-05-08 |
Genre | : Science |
ISBN | : 0387227709 |
Download Visual Quantum Mechanics Book in PDF, ePub and Kindle
"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.