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Asymptotic Diffraction Theory and Nuclear Scattering

$Asymptotic Diffraction Theory and Nuclear Scattering$

Author: Roy J. Glauber

Publisher: Cambridge University Press

Published: 2019-10-03

Total Pages: 209

ISBN-13: 1108764177

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Scattering theory provides a framework for understanding the scattering of waves and particles. This book presents a simple physical picture of diffractive nuclear scattering in terms of semi-classical trajectories, illustrated throughout with examples and case studies. Trajectories in a complex impact parameter plane are discussed, and it stresses the importance of the analytical properties of the phase shift function in this complex impact plane in the asymptotic limit. Several new rainbow phenomena are also discussed and illustrated. Written by Nobel Prize winner Roy J. Glauber, and Per Osland, an expert in the field of particle physics, the book illustrates the transition from quantum to classical scattering, and provides a valuable resource for researchers using scattering theory in nuclear, particle, atomic and molecular physics.

Book Synopsis Asymptotic Diffraction Theory and Nuclear Scattering by : Roy J. Glauber

Download or read book Asymptotic Diffraction Theory and Nuclear Scattering written by Roy J. Glauber and published by Cambridge University Press. This book was released on 2019-10-03 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering theory provides a framework for understanding the scattering of waves and particles. This book presents a simple physical picture of diffractive nuclear scattering in terms of semi-classical trajectories, illustrated throughout with examples and case studies. Trajectories in a complex impact parameter plane are discussed, and it stresses the importance of the analytical properties of the phase shift function in this complex impact plane in the asymptotic limit. Several new rainbow phenomena are also discussed and illustrated. Written by Nobel Prize winner Roy J. Glauber, and Per Osland, an expert in the field of particle physics, the book illustrates the transition from quantum to classical scattering, and provides a valuable resource for researchers using scattering theory in nuclear, particle, atomic and molecular physics.

Asymptotic Diffraction Theory and Nuclear Scattering

$Asymptotic Diffraction Theory and Nuclear Scattering$

Author: Roy J. Glauber

Publisher: Cambridge University Press

Published: 2019-10-03

Total Pages: 209

ISBN-13: 1107104114

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Presents an explanation of diffractive nuclear scattering in terms of semi-classical trajectories.

Book Synopsis Asymptotic Diffraction Theory and Nuclear Scattering by : Roy J. Glauber

Diffractive Processes in Nuclear Physics

$Diffractive Processes in Nuclear Physics$

Author: W. E. Frahn

Publisher:

Published: 1985

Total Pages: 210

ISBN-13:

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This comprehensive introduction to an important area of nuclear physics summarizes the developments in the field over the last decade and provides essential theoretical background. Particular emphasis is placed on the closed formalism for strong-absorption processes. Elastic and inelastic scattering, transfer reactions, and coupled-channel extensions are covered. This book, found among Frahn's papers after his death, represents his final thoughts on the subject to which he devoted his life's work. As such, it is invaluable for advanced students and researchers in nuclear physics.

Book Synopsis Diffractive Processes in Nuclear Physics by : W. E. Frahn

Download or read book Diffractive Processes in Nuclear Physics written by W. E. Frahn and published by . This book was released on 1985 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive introduction to an important area of nuclear physics summarizes the developments in the field over the last decade and provides essential theoretical background. Particular emphasis is placed on the closed formalism for strong-absorption processes. Elastic and inelastic scattering, transfer reactions, and coupled-channel extensions are covered. This book, found among Frahn's papers after his death, represents his final thoughts on the subject to which he devoted his life's work. As such, it is invaluable for advanced students and researchers in nuclear physics.

Scattering Theory of Molecules, Atoms and Nuclei

Author: Luiz Felipe Canto

Publisher: World Scientific

Published: 2013

Total Pages: 646

ISBN-13: 9814329843

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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.

Book Synopsis Scattering Theory of Molecules, Atoms and Nuclei by : Luiz Felipe Canto

Download or read book Scattering Theory of Molecules, Atoms and Nuclei written by Luiz Felipe Canto and published by World Scientific. This book was released on 2013 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scattering Theory

Author: Asim Orhan Barut

Publisher:

Published: 1969

Total Pages: 448

ISBN-13:

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Book Synopsis Scattering Theory by : Asim Orhan Barut

Download or read book Scattering Theory written by Asim Orhan Barut and published by . This book was released on 1969 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory of Waves and Particles

Author: R.G. Newton

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 758

ISBN-13: 3642881289

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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.

Book Synopsis Scattering Theory of Waves and Particles by : R.G. Newton

Download or read book Scattering Theory of Waves and Particles written by R.G. Newton and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scattering Theory

Author: Alekseĭ Grigorʹevich Sitenko

Publisher: Springer

Published: 1991-01-21

Total Pages: 360

ISBN-13:

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This book is based on the course in theoretical nuclear physics that has been given by the author for some years at the T. G. Shevchenko Kiev State University. This version is supplemented and revised to include new results obtained after 1971 and 1975 when the first and second editions were published. This text is intended as an introduction to the nonrelativistic theory of po tential scattering. The analysis is based on the scattering matrix concept where the relationship between the scattering matrix and observable physical quantities is considered. The stationary formulation of the scattering problem is presented; particle wave functions in the external field are obtained. A formulation of the optical theorem is given as well as a discussion on time inversion and the reci procity theorem. Analytic properties of the scattering matrix, dispersion relations, and complex moments are analyzed. The dispersion relations for an arbitrary di rection scattering amplitude are proven, and analytic properties of the amplitude in the plane of the complex cosine of the scattering angle are studied in detail.

Book Synopsis Scattering Theory by : Alekseĭ Grigorʹevich Sitenko

Download or read book Scattering Theory written by Alekseĭ Grigorʹevich Sitenko and published by Springer. This book was released on 1991-01-21 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the course in theoretical nuclear physics that has been given by the author for some years at the T. G. Shevchenko Kiev State University. This version is supplemented and revised to include new results obtained after 1971 and 1975 when the first and second editions were published. This text is intended as an introduction to the nonrelativistic theory of po tential scattering. The analysis is based on the scattering matrix concept where the relationship between the scattering matrix and observable physical quantities is considered. The stationary formulation of the scattering problem is presented; particle wave functions in the external field are obtained. A formulation of the optical theorem is given as well as a discussion on time inversion and the reci procity theorem. Analytic properties of the scattering matrix, dispersion relations, and complex moments are analyzed. The dispersion relations for an arbitrary di rection scattering amplitude are proven, and analytic properties of the amplitude in the plane of the complex cosine of the scattering angle are studied in detail.

Computational Techniques and Applications of Semiclassical Scattering Theory in Nuclear Physics

Author: Paul James Hatchell

Publisher:

Published: 1989

Total Pages: 310

ISBN-13:

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Book Synopsis Computational Techniques and Applications of Semiclassical Scattering Theory in Nuclear Physics by : Paul James Hatchell

Download or read book Computational Techniques and Applications of Semiclassical Scattering Theory in Nuclear Physics written by Paul James Hatchell and published by . This book was released on 1989 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

X-Ray and Neutron Diffraction

$X-Ray and Neutron Diffraction$

Author: G. E. Bacon

Publisher: Elsevier

Published: 2013-09-03

Total Pages: 393

ISBN-13: 1483158292

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X-Ray and Neutron Diffraction describes the developments of the X-ray and the various research done in neutron diffraction. Part I of the book concerns the principles and applications of the X-ray and neutrons through their origins from classical crystallography. The book explains the use of diffraction methods to show the highly regular arrangement of atoms that forms a continuous pattern in three-dimensional space. The text evaluates the limitations and benefits of using the different types of radiation sources, whether these are X-rays, neutrons, or electrons. Part II is a collection of reprints discussing the development of techniques that includes a modification of the Bragg method, which is a method of X-ray crystal analysis. One paper presents an improved numerical method of two-dimensional Fourier synthesis for crystals. This method uses a greatly reduced process of arrangement of sets of figures found in the two-dimensional Fourier series. The book also notes the theoretical considerations and the practical details, and then addresses precautions against possible inclusions of errors in this method. The text deals as well with the magnetic scattering of neutrons, and one paper presents a simple method of gathering information about the magnetic moment of the neutron besides the traditional Stern-Gerlach method. Nuclear scientists and physicists, atomic researchers, and nuclear engineers will greatly appreciate the book.

Book Synopsis X-Ray and Neutron Diffraction by : G. E. Bacon

Download or read book X-Ray and Neutron Diffraction written by G. E. Bacon and published by Elsevier. This book was released on 2013-09-03 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-Ray and Neutron Diffraction describes the developments of the X-ray and the various research done in neutron diffraction. Part I of the book concerns the principles and applications of the X-ray and neutrons through their origins from classical crystallography. The book explains the use of diffraction methods to show the highly regular arrangement of atoms that forms a continuous pattern in three-dimensional space. The text evaluates the limitations and benefits of using the different types of radiation sources, whether these are X-rays, neutrons, or electrons. Part II is a collection of reprints discussing the development of techniques that includes a modification of the Bragg method, which is a method of X-ray crystal analysis. One paper presents an improved numerical method of two-dimensional Fourier synthesis for crystals. This method uses a greatly reduced process of arrangement of sets of figures found in the two-dimensional Fourier series. The book also notes the theoretical considerations and the practical details, and then addresses precautions against possible inclusions of errors in this method. The text deals as well with the magnetic scattering of neutrons, and one paper presents a simple method of gathering information about the magnetic moment of the neutron besides the traditional Stern-Gerlach method. Nuclear scientists and physicists, atomic researchers, and nuclear engineers will greatly appreciate the book.

X-Ray and Neutron Dynamical Diffraction

$X-Ray and Neutron Dynamical Diffraction$

Author: André Authier

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 419

ISBN-13: 1461558794

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This volume collects the proceedings of the 23rd International Course of Crystallography, entitled "X-ray and Neutron Dynamical Diffraction, Theory and Applications," which took place in the fascinating setting of Erice in Sicily, Italy. It was run as a NATO Advanced Studies Institute with A. Authier (France) and S. Lagomarsino (Italy) as codirectors, and L. Riva di Sanseverino and P. Spadon (Italy) as local organizers, R. Colella (USA) and B. K. Tanner (UK) being the two other members of the organizing committee. It was attended by about one hundred participants from twenty four different countries. Two basic theories may be used to describe the diffraction of radiation by crystalline matter. The first one, the so-called geometrical, or kinematical theory, is approximate and is applicable to small, highly imperfect crystals. It is used for the determination of crystal structures and describes the diffraction of powders and polycrystalline materials. The other one, the so-called dynamical theory, is applicable to perfect or nearly perfect crystals. For that reason, dynamical diffraction of X-rays and neutrons constitutes the theoretical basis of a great variety of applications such as: • the techniques used for the characterization of nearly perfect high technology materials, semiconductors, piezoelectric, electrooptic, ferroelectric, magnetic crystals, • the X-ray optical devices used in all modem applications of Synchrotron Radiation (EXAFS, High Resolution X-ray Diffractometry, magnetic and nuclear resonant scattering, topography, etc. ), and • X-ray and neutron interferometry.

Book Synopsis X-Ray and Neutron Dynamical Diffraction by : André Authier

Download or read book X-Ray and Neutron Dynamical Diffraction written by André Authier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the proceedings of the 23rd International Course of Crystallography, entitled "X-ray and Neutron Dynamical Diffraction, Theory and Applications," which took place in the fascinating setting of Erice in Sicily, Italy. It was run as a NATO Advanced Studies Institute with A. Authier (France) and S. Lagomarsino (Italy) as codirectors, and L. Riva di Sanseverino and P. Spadon (Italy) as local organizers, R. Colella (USA) and B. K. Tanner (UK) being the two other members of the organizing committee. It was attended by about one hundred participants from twenty four different countries. Two basic theories may be used to describe the diffraction of radiation by crystalline matter. The first one, the so-called geometrical, or kinematical theory, is approximate and is applicable to small, highly imperfect crystals. It is used for the determination of crystal structures and describes the diffraction of powders and polycrystalline materials. The other one, the so-called dynamical theory, is applicable to perfect or nearly perfect crystals. For that reason, dynamical diffraction of X-rays and neutrons constitutes the theoretical basis of a great variety of applications such as: • the techniques used for the characterization of nearly perfect high technology materials, semiconductors, piezoelectric, electrooptic, ferroelectric, magnetic crystals, • the X-ray optical devices used in all modem applications of Synchrotron Radiation (EXAFS, High Resolution X-ray Diffractometry, magnetic and nuclear resonant scattering, topography, etc. ), and • X-ray and neutron interferometry.