Elementary Scattering Theory

For X-ray and Neutron Users
Author: D.S. Sivia
Publisher: Oxford University Press
ISBN: 0199228671
Category: Science
Page: 201
View: 540

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This book provides the basic theoretical background for X-ray and neutron scattering experiments. Since these techniques are increasingly being used by biologists and chemists, as well as physicists, the book is intended to be accessible to a broad spectrum of scientists.

Scattering Theory

The Quantum Theory of Nonrelativistic Collisions
Author: John R. Taylor
Publisher: Courier Corporation
ISBN: 0486142078
Category: Technology & Engineering
Page: 512
View: 6323

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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.

Multiple Scattering Theory for Spectroscopies

A Guide to Multiple Scattering Computer Codes -- Dedicated to C. R. Natoli on the Occasion of his 75th Birthday
Author: Didier Sébilleau,Keisuke Hatada,Hubert Ebert
Publisher: Springer
ISBN: 3319738119
Category: Science
Page: 401
View: 3061

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This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts. The first part, subtitled “basic knowledge”, provides the basics of the multiple scattering description in spectroscopies, enabling readers to understand the physics behind the various multiple scattering codes available for modelling spectroscopies. The second part, “extended knowledge”, presents “state- of-the-art” short chapters on specific subjects associated with improving of the actual description of spectroscopies within the multiple scattering formalism, such as inelastic processes, or precise examples of modelling.

Principles of Condensed Matter Physics


Author: P. M. Chaikin,T. C. Lubensky
Publisher: Cambridge University Press
ISBN: 9780521794503
Category: Science
Page: 699
View: 1196

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This successful and widely-reviewed book covering the physics of condensed matter systems is now available in paperback.

Quantum Physics


Author: Michel Le Bellac
Publisher: Cambridge University Press
ISBN: 1139450794
Category: Science
Page: N.A
View: 6586

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Quantum physics allows us to understand the nature of the physical phenomena which govern the behavior of solids, semi-conductors, lasers, atoms, nuclei, subnuclear particles and light. In Quantum Physics, Le Bellac provides a thoroughly modern approach to this fundamental theory. Throughout the book, Le Bellac teaches the fundamentals of quantum physics using an original approach which relies primarily on an algebraic treatment and on the systematic use of symmetry principles. In addition to the standard topics such as one-dimensional potentials, angular momentum and scattering theory, the reader is introduced to more recent developments at an early stage. These include a detailed account of entangled states and their applications, the optical Bloch equations, the theory of laser cooling and of magneto-optical traps, vacuum Rabi oscillations and an introduction to open quantum systems. This is a textbook for a modern course on quantum physics, written for advanced undergraduate and graduate students.

Elementary Theory of Scattering


Author: P.K. Verma
Publisher: Atlantic Publishers & Dist
ISBN: 9788126903849
Category: Quantum theory
Page: 192
View: 8263

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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.

Principles of Quantum Scattering Theory


Author: Dzevad Belkic
Publisher: CRC Press
ISBN: 9781420033649
Category: Science
Page: 392
View: 4842

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Scattering is one of the most powerful methods used to study the structure of matter, and many of the most important breakthroughs in physics have been made by means of scattering. Nearly a century has passed since the first investigations in this field, and the work undertaken since then has resulted in a rich literature encompassing both experimental and theoretical results. In scattering, one customarily studies collisions among nuclear, sub-nuclear, atomic or molecular particles, and as these are intrinsically quantum systems, it is logical that quantum mechanics is used as the basis for modern scattering theory. In Principles of Quantum Scattering Theory, the author judiciously combines physical intuition and mathematical rigour to present various selected principles of quantum scattering theory. As always in physics, experiment should be used to ultimately validate physical and mathematical modelling, and the author presents a number of exemplary illustrations, comparing theoretical and experimental cross sections in a selection of major inelastic ion-atom collisions at high non-relativistic energies. Quantum scattering theory, one of the most beautiful theories in physics, is also very rich in mathematics. Principles of Quantum Scattering Theory is intended primarily for graduate physics students, but also for non-specialist physicists for whom the clarity of exposition should aid comprehension of these mathematical complexities.

Scattering Theory

The Quantum Theory of Nonrelativistic Collisions
Author: John Robert Taylor
Publisher: Krieger Publishing Company
ISBN: N.A
Category: Technology & Engineering
Page: 477
View: 6420

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Quantum scattering and spectral theory


Author: D. B. Pearson
Publisher: Academic Pr
ISBN: N.A
Category: Mathematics
Page: 519
View: 7951

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FROM THE PREFACE: This book deals with the foundations of the quantum theory of scattering. Scattering theory may be regarded either as a branch of mathematical physics or, increasingly, as a branch of mathematics worthy of independent study in its own right. The importance of spectral analysis to the theory is central; every modern text on scattering theory makes reference to the methods and ideas of spectral analysis, and conversely any comprehensive treatment of spectral theory will refer to methods and ideas drawn from applications to quantum theory, and to quantum scattering in particular. Much of the material in this volume, while relating to important aspects of the theory, is new or is presented for the first time in book form.

Integral Equation Methods in Scattering Theory


Author: David Colton,Rainer Kress
Publisher: SIAM
ISBN: 1611973155
Category: Mathematics
Page: 271
View: 4379

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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 HÓlder 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 HÓlder 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.

Advanced Gate Stacks for High-Mobility Semiconductors


Author: Athanasios Dimoulas,Evgeni Gusev,Paul C. McIntyre,Marc Heyns
Publisher: Springer Science & Business Media
ISBN: 9783540714910
Category: Technology & Engineering
Page: 384
View: 7979

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This book provides a comprehensive monograph on gate stacks in semiconductor technology. It covers the major latest developments and basics and will be useful as a reference work for researchers, engineers and graduate students alike. The reader will get a clear view of what has been done so far, what is the state-of-the-art and which are the main challenges ahead before we come any closer to a viable Ge and III-V MOS technology.

Qualitative Methods in Inverse Scattering Theory

An Introduction
Author: Fioralba Cakoni,David Colton
Publisher: Springer Science & Business Media
ISBN: 3540312307
Category: Mathematics
Page: 227
View: 2377

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Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Scattering Theory of Waves and Particles


Author: Roger G. Newton
Publisher: Courier Corporation
ISBN: 0486425355
Category: Science
Page: 745
View: 3238

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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.

Lectures in Scattering Theory

International Series of Monographs in Natural Philosophy
Author: A. G. Sitenko
Publisher: Elsevier
ISBN: 1483186822
Category: Science
Page: 280
View: 6886

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Lectures in Scattering Theory discusses problems in quantum mechanics and the principles of the non-relativistic theory of potential scattering. This book describes in detail the properties of the scattering matrix and its connection with physically observable quantities. This text presents a stationary formulation of the scattering problem and the wave functions of a particle found in an external field. This book also examines the analytic properties of the scattering matrix, dispersion relations, complex angular moments, as well as the separable representation of the scattering amplitude. The text also explains the method of factorizing the potential and the two-particle scattering amplitude, based on the Hilbert-Schmidt theorem for symmetric integral equations. In investigating the problem of scattering in a three-particle system, this book notes that the inapplicability of the Lippman-Schwinger equations can be fixed by appropriately re-arranging the equations. Faddeev equations are the new equations formed after such re-arrangements. This book also cites, as an example, the scattering of a spin-1/2 particle by a spinless particle (such as the scattering of a nucleon by a spinless nucleus). This text is suitable for students and professors dealing with quantum mechanics, theoretical nuclear physics, or other fields of advanced physics.

An Introduction to Linear and Nonlinear Scattering Theory


Author: G F Roach
Publisher: CRC Press
ISBN: 9780582092303
Category: Mathematics
Page: 264
View: 6048

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This monograph has two main purposes, first to act as a companion volume to more advanced texts by gathering together the principal mathematical topics commonly used in developing scattering theories and, in so doing, provide a reasonable, self-contained introduction to linear and nonlinear scattering theory for those who might wish to begin working in the area. Secondly, to indicate how these various aspects might be applied to problems in mathematical physics and the applied sciences. Of particular interest will be the influence of boundary conditions.