Lectures In Scattering Theory

Author : A. G. Sitenko
Publisher : Elsevier
Page : 280 pages
File Size : 45,5 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483186825

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Lectures in Scattering Theory by A. G. Sitenko Pdf

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,Oleksij H. Sytenko
Publisher : Unknown
Page : 269 pages
File Size : 41,9 Mb
Release : 1971
Category : Electronic
ISBN : OCLC:164216266

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Lectures in scattering theory by A. G. Sitenko,Oleksij H. Sytenko Pdf

Author : Richard B. Melrose
Publisher : Cambridge University Press
Page : 134 pages
File Size : 41,7 Mb
Release : 1995-07-28
Category : Mathematics
ISBN : 0521498104

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Geometric Scattering Theory by Richard B. Melrose Pdf

These lecture notes are intended as a non-technical overview of scattering theory.

Author : Dmitri R. Yafaev
Publisher : Springer
Page : 185 pages
File Size : 45,5 Mb
Release : 2007-05-06
Category : Mathematics
ISBN : 9783540451709

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Scattering Theory: Some Old and New Problems by Dmitri R. Yafaev Pdf

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
Page : 540 pages
File Size : 50,7 Mb
Release : 2012-01-27
Category : Science
ISBN : 9789813108295

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Lectures on Quantum Mechanics by Ashok Das Pdf

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 : Oscar Wallace Greenberg
Publisher : Unknown
Page : 158 pages
File Size : 50,9 Mb
Release : 1962
Category : Scattering (Physics)
ISBN : OCLC:639963649

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Introductory Lectures on Scattering Theory, by O.W. Greenberg by Oscar Wallace Greenberg Pdf

Author : Aleksei Grigor'evich Sitenko
Publisher : Unknown
Page : 269 pages
File Size : 46,9 Mb
Release : 1971
Category : Electronic
ISBN : LCCN:74150692

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Lectures in Scattering Theory by Aleksei Grigor'evich Sitenko Pdf

Author : Werner O. Amrein,Josef Maria Jauch,Kalyan B. Sinha
Publisher : Addison Wesley Longman
Page : 730 pages
File Size : 51,5 Mb
Release : 1977
Category : Science
ISBN : UCAL:B4513680

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Scattering Theory in Quantum Mechanics by Werner O. Amrein,Josef Maria Jauch,Kalyan B. Sinha Pdf

Author : Richard B. Melrose
Publisher : Cambridge University Press
Page : 132 pages
File Size : 44,7 Mb
Release : 1995-07-28
Category : Mathematics
ISBN : 052149673X

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Geometric Scattering Theory by Richard B. Melrose Pdf

This book is an overview of scattering theory. The author shows how this theory provides a parametrization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. In the first two lectures the author describes the simple and fundamental case of the Laplacian on Euclidean space to introduce the theory's basic framework. In the next three lectures, he outlines various results on Euclidean scattering, and the methods used to prove them. In the last three lectures he extends these ideas to non-Euclidean settings.

Author : Oscar Wallace Greenberg,MARYLAND UNIV COLLEGE PARK.
Publisher : Unknown
Page : 75 pages
File Size : 43,5 Mb
Release : 1962
Category : Scattering (Physics)
ISBN : OCLC:21721185

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Introductory Lectures on Scattering Theory by Oscar Wallace Greenberg,MARYLAND UNIV COLLEGE PARK. Pdf

Con ents: Wave packet tre tment of sca teri g R UIREMENTS ON INIAD-275 054Div. 25 U (TI TP/WH) OTS price $8.1 RYLAN U., Coll ge Park. INTRODUCTORY LEC URE ON C RI G EORY, by O. . Greenberg. Jan 62, 75p. incl. illus. (Tech ical rept. no. 243) Co tr ct AF 49(638)24) (AFOSR-2409)U NCLAS IFIED REPOR DESCRIPTORS: *Scattering, Theory, *Qu um mechanics. Con ents: Wave packet tre tment of sca teri g R UIREMENTS ON INITIAL (unscattered) wave packet Motion of free wave packet Scattering solutions of Schrodinger equation Scattering length and effective range theory Reso an cattering Formal theory of scattering Moller wave operators an he S-M RI Sc tering in the Dirac picture Adiabatic switching, the -M trix, a d cro section Additional topicsAD-27554 AD-275 055Div. 9 U (TISTP/WH) OTS price $2.60 Lincoln Lab., Mass. Inst. of Tech., Lexington. NEWTONIAN DRAG COEFFICIENTS AND WEIGHTS FOR BLUNTED CONE-SPHERES AT SMALL ANGLES OF ATTACK, by Aubyn Freed. 30 Mar 62, 21p. incl. illus. 4 refs. (Rept. no. 22G-5) (Contract AF 19(604)7400) (AFESD TDR 62-81)Unclassified report DESCRIPTORS: *Conical bodies, Aerodynamics, *Drag, *Ballistics. A simple formula for the Newtonian drag coefficient is derived for t e blunted cone-sphere (ice-cream cone) at small angles of attack. Gr p s are presented for the drag coefficient as a function of cone semi-vertex angle from 6 to 30 deg and bluntness ratio (nose-radius/baseradius) ranging in tenths from 0 to 0.5. For given values of the body parameters, the weight required for the body to attain a prescribed ballistic coefficient is then determined. Fineness ratios for different specified cone-anglesAND DEGREES OF BLUNTNESS ARE PROVIDED FOR REFERENCE. (Author).

Author : L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 55,5 Mb
Release : 2009
Category : Quantum theory
ISBN : 9780821846995

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Lectures on Quantum Mechanics for Mathematics Students by L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ Pdf

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 : James LaVita,J.P. Marchand
Publisher : Springer
Page : 0 pages
File Size : 44,7 Mb
Release : 1974-07-31
Category : Science
ISBN : 9027704147

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Scattering Theory in Mathematical Physics by James LaVita,J.P. Marchand Pdf

These proceedings contain lectures given at the N.A.T.O. Advanced Study Institute entitled "Scattering Theory in Mathematics and Physics" held in Denver, Colorado, June 11-29, 1973. We have assembled the main series of lectures and some presented by other participants that seemed naturally to complement them. Unfortunately the size of this volume does not allow for a full account of all the contributions made at the Conference; however, all present were pleased by the number and breadth of those topics covered in the informal afternoon sessions. The purpose of the meeting, as reflected in its title, was to examine the single topic of scattering theory in as many of its manifestations as possible, i.e. as a hub of concepts and techniques from both mathematics and physics. The format of all the topics presented here is mathematical. The physical content embraces classical and quantum mechanical scattering, N-body systems and quantum field theoretical models. Left out are such subjects as the so-called analytic S-matrix theory and phenomeno logical models for high energy scattering. We would like to thank the main lecturers for their excellent presentations and written summaries. They provided a focus for the exceptionally strong interaction among the participants and we hope that some of the coherence achieved is reflected in these published notes. We have made no attempt to unify notation.

Author : Asim Orhan Barut,Wesley E. Brittin
Publisher : Unknown
Page : 488 pages
File Size : 46,6 Mb
Release : 1972-08
Category : Science
ISBN : STANFORD:36105000865456

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Lectures in Theoretical Physics by Asim Orhan Barut,Wesley E. Brittin Pdf

Author : Steven Weinberg
Publisher : Cambridge University Press
Page : 379 pages
File Size : 45,5 Mb
Release : 2013
Category : Science
ISBN : 9781107028722

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Lectures on Quantum Mechanics by Steven Weinberg Pdf

"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 : J.A. Lavita,J.P. Marchand
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401021470

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Scattering Theory in Mathematical Physics by J.A. Lavita,J.P. Marchand Pdf

These proceedings contain lectures given at the N.A.T.O. Advanced Study Institute entitled "Scattering Theory in Mathematics and Physics" held in Denver, Colorado, June 11-29, 1973. We have assembled the main series of lectures and some presented by other participants that seemed naturally to complement them. Unfortunately the size of this volume does not allow for a full account of all the contributions made at the Conference; however, all present were pleased by the number and breadth of those topics covered in the informal afternoon sessions. The purpose of the meeting, as reflected in its title, was to examine the single topic of scattering theory in as many of its manifestations as possible, i.e. as a hub of concepts and techniques from both mathematics and physics. The format of all the topics presented here is mathematical. The physical content embraces classical and quantum mechanical scattering, N-body systems and quantum field theoretical models. Left out are such subjects as the so-called analytic S-matrix theory and phenomeno logical models for high energy scattering. We would like to thank the main lecturers for their excellent presentations and written summaries. They provided a focus for the exceptionally strong interaction among the participants and we hope that some of the coherence achieved is reflected in these published notes. We have made no attempt to unify notation.