Lectures In Scattering Theory

Author : A. G. Sitenko
Publisher : Elsevier
ISBN 13 : 1483186822
Total Pages : 280 pages
Book Rating : 4.25/5 ( download)

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Download or read book Lectures in Scattering Theory written by A. G. Sitenko and published by Elsevier. This book was released on 2013-10-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : A. G. Sitenko
Publisher :
ISBN 13 :
Total Pages : 269 pages
Book Rating : 4.66/5 ( download)

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Download or read book Lectures in scattering theory written by A. G. Sitenko and published by . This book was released on 1971 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard B. Melrose
Publisher : Cambridge University Press
ISBN 13 : 9780521498104
Total Pages : 134 pages
Book Rating : 4.04/5 ( download)

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Download or read book Geometric Scattering Theory written by Richard B. Melrose and published by Cambridge University Press. This book was released on 1995-07-28 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended as a non-technical overview of scattering theory.

Author : Dmitri R. Yafaev
Publisher : Springer
ISBN 13 : 3540451706
Total Pages : 185 pages
Book Rating : 4.09/5 ( download)

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Download or read book Scattering Theory: Some Old and New Problems written by Dmitri R. Yafaev and published by Springer. This book was released on 2007-05-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.

Author : Ashok Das
Publisher : World Scientific Publishing Company
ISBN 13 : 9813108290
Total Pages : 540 pages
Book Rating : 4.95/5 ( download)

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Download or read book Lectures on Quantum Mechanics written by Ashok Das and published by World Scientific Publishing Company. This book was released on 2012-01-27 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of lecture notes on quantum mechanics aims to teach, in a simple and straightforward manner, the basic theory behind the subject, drawing on examples from all fields of physics to provide both background as well as context. The self-contained book includes a review of classical mechanics and some of the necessary mathematics. Both the standard fare of quantum mechanics texts — the harmonic oscillator, the hydrogen atom, angular momentum as well as topics such as symmetry with a discussion on periodic potentials, the relativistic electron, spin and scattering theory are covered. Approximation methods are discussed with a view to applications; these include stationary perturbation theory, the WKB approximation, time dependent perturbations and the variational principle. Together, the seventeen chapters provide a very comprehensive introduction to quantum mechanics. Selected problems are collected at the end of each chapter in addition to the numerous exercises sprinkled throughout the text. The book is written in a simple and elegant style, and is characterized by clarity, depth and excellent pedagogical organization.

Author :
Publisher :
ISBN 13 : 9781223119243
Total Pages : pages
Book Rating : 4.46/5 ( download)

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Download or read book Geometric Scattering Theory written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Steven Weinberg
Publisher : Cambridge University Press
ISBN 13 : 1107028728
Total Pages : 379 pages
Book Rating : 4.22/5 ( download)

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Download or read book Lectures on Quantum Mechanics written by Steven Weinberg and published by Cambridge University Press. This book was released on 2013 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr.

Author : John R. Taylor
Publisher : Courier Corporation
ISBN 13 : 0486142078
Total Pages : 512 pages
Book Rating : 4.74/5 ( download)

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Download or read book Scattering Theory written by John R. Taylor and published by Courier Corporation. This book was released on 2012-05-23 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : American Mathematical Soc.
ISBN 13 : 082184699X
Total Pages : 250 pages
Book Rating : 4.95/5 ( download)

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Download or read book Lectures on Quantum Mechanics for Mathematics Students written by L. D. Faddeev and published by American Mathematical Soc.. This book was released on 2009 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

Author : Johannes M. Henn
Publisher : Springer
ISBN 13 : 3642540228
Total Pages : 206 pages
Book Rating : 4.26/5 ( download)

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Download or read book Scattering Amplitudes in Gauge Theories written by Johannes M. Henn and published by Springer. This book was released on 2014-02-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material present ed in the main text.