Computational Techniques and Applications of Semiclassical Scattering Theory in Nuclear Physics PDF Download
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Author: Paul James Hatchell
Publisher:
ISBN:
Category :
Languages : en
Pages : 310
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Book Description
Author: Paul James Hatchell
Publisher:
ISBN:
Category :
Languages : en
Pages : 310
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Book Description
Author: John Zeng Hui Zhang
Publisher: World Scientific
ISBN: 9814496413
Category : Science
Languages : en
Pages : 389
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Book Description
This book provides a detailed presentation of modern quantum theories for treating the reaction dynamics of small molecular systems. Its main focus is on the recent development of successful quantum dynamics theories and computational methods for studying the molecular reactive scattering process, with specific applications given in detail for a number of benchmark chemical reaction systems in the gas phase and the gas surface. In contrast to traditional books on collision in physics focusing on abstract theory for nonreactive scattering, this book deals with both the development and the application of the modern reactive or rearrangement scattering theory, and is written in a fashion in which the development of the reactive scattering theory is closely coupled with its computational aspects for practical applications for realistic molecular reactions. The volume includes such topics as methods for calculating rovibrational states of molecules, fundamental quantum theory for scattering (nonreactive and reactive), modern time-independent computational methods for reactive scattering, general time-dependent wave packet methods for reactive scattering, dynamics theory of chemical reactions, dynamics of molecular fragmentation, semiclassical description of quantum mechanics, and also some useful appendices.The book is intended for the reader to not only understand the molecular reaction dynamics from the fundamental scattering theory, but also utilize the provided computational methodologies in their practical applications. It should benefit graduate students and researchers in the field of chemical physics.
Author: Luiz Felipe Canto
Publisher: World Scientific
ISBN: 9814329843
Category : Science
Languages : en
Pages : 646
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Book Description
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.
Author: D. M. Brink
Publisher: Cambridge University Press
ISBN: 0521239400
Category : Science
Languages : en
Pages : 0
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Book Description
This book will be of great interest to graduate students wishing to learn about semi-classical methods in nuclear physics and to theoretical and experimental nuclear physicists, especially those working in heavy ion physics. It will also be of interest to research workers in other areas where similar techniques are used.
Author: Fadil Santosa
Publisher: CRC Press
ISBN: 0429525087
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic
Author:
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Category :
Languages : en
Pages : 0
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The papers presented covered classical, quantum and inverse scattering theory titles include: Multiple Scattering of Waves by Correlated Distributions; S-Matrix and Sonar Echo Structure; Numerical Methods for Helmholtz-Type Equations in Unbounded Regions; Role of Surface Waves in Scattering Processes of Nuclear Physics and Acoustics; Radar Scattering Theory; Coherent Scattering from Rough Surfaces; Application of a Technique of Franklin and Friedman to some Problems in Acoustics; High-Frequency Signal Propagation and Scattering in Guiding Channels; Resonance Theory and Application; Application of Elastodynamic Ray Theory to Diffraction by Cracks--Theory and experiment; Multipole Resonances in Elastic Wave-Scattering from Cavities and in Acoustic Wave-Scattering from Bubbles and Droplets; Scattering Theory in the Mixed Representation; A Two-Hilbert-Space Formulation of Multichannel Scattering Theory; Mathematical Questions of Quantum Mechanics of Many-Body Systems; Scattering from Point Interactions; Two Problems with Time-Dependent Hamiltonians; and Translation Invariance of N-Particle Schrodinger Operators in Homogeneous Magnetic Fields.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 343
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Book Description
The papers presented covered classical, quantum and inverse scattering theory titles include: Multiple Scattering of Waves by Correlated Distributions; S-Matrix and Sonar Echo Structure; Numerical Methods for Helmholtz-Type Equations in Unbounded Regions; Role of Surface Waves in Scattering Processes of Nuclear Physics and Acoustics; Radar Scattering Theory; Coherent Scattering from Rough Surfaces; Application of a Technique of Franklin and Friedman to some Problems in Acoustics; High-Frequency Signal Propagation and Scattering in Guiding Channels; Resonance Theory and Application; Application of Elastodynamic Ray Theory to Diffraction by Cracks--Theory and experiment; Multipole Resonances in Elastic Wave-Scattering from Cavities and in Acoustic Wave-Scattering from Bubbles and Droplets; Scattering Theory in the Mixed Representation; A Two-Hilbert-Space Formulation of Multichannel Scattering Theory; Mathematical Questions of Quantum Mechanics of Many-Body Systems; Scattering from Point Interactions; Two Problems with Time-Dependent Hamiltonians; and Translation Invariance of N-Particle Schrodinger Operators in Homogeneous Magnetic Fields.
Author: P. G. Burke
Publisher: Springer Science & Business Media
ISBN: 1461341124
Category : Science
Languages : en
Pages : 137
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Book Description
This monograph was written while the author was a visitor at the Center for Theoretical Studies at the University of Miami, Coral Gables, Florida. The author wishes to thank Professor Behram Kursunoglu for the warm hospitality extended to him at the Center and to acknowledge the many interesting and fruitful discussions which he had with other visitors and with members of staff at the Center. Philip G. Burke v Contents 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Scattering by a Short-Range Potential. . . . . . . . . . . . . . . 5 3. Scattering by a Coulomb Potential. . . . . . . . . . . . . . . . . . 11 4. Scattering by a Spin-Orbit Potential . . . . . . . . . . . . . . " 17 5. Scattering by One-Electron Atoms. . . . . . . . . . . . . . . . . . 23 6. Low-Energy Effective-Range Theory. . . . . . . . . . . . . . . . 39 7. Bound States and Resonances. . . . . . . . . . . . . . . . . . . . . . 55 8. Variational Methods and Bound Principles. . . . . . . . . . 75 9. Integral Equation Methods and the Born Approximation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 10. Semiclassical and Eikonal Methods . . . . . . . . . . . . . . . . . 117 Appendix. The Coupling of Angular Momenta . . . . . . . . . . . 127 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 vii 1 Introduction In this monograph we study the scattering of a particle by a potential field with particular reference to elastic electron scat tering by a neutral atom or by an ion. This subject is clearly of interest in its own right as a branch of quantum mechanical scattering theory. However, it also serves as an introduction to many of the basic theoretical concepts which are used in inelastic electron scattering and ionization. Consequently this mono graph can be viewed as an introduction to texts where these subjects are treated.
Author: Robert K. Nesbet
Publisher: Springer
ISBN: 9781468484328
Category : Science
Languages : en
Pages : 228
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Book Description
The investigation of scattering phenomena is a major theme of modern physics. A scattered particle provides a dynamical probe of the target system. The practical problem of interest here is the scattering of a low energy electron by an N-electron atom. It has been difficult in this area of study to achieve theoretical results that are even qualitatively correct, yet quantitative accuracy is often needed as an adjunct to experiment. The present book describes a quantitative theoretical method, or class of methods, that has been applied effectively to this problem. Quantum mechanical theory relevant to the scattering of an electron by an N-electron atom, which may gain or lose energy in the process, is summarized in Chapter 1. The variational theory itself is presented in Chapter 2, both as currently used and in forms that may facilitate future applications. The theory of multichannel resonance and threshold effects, which provide a rich structure to observed electron-atom scattering data, is presented in Chapter 3. Practical details of the computational implementation of the variational theory are given in Chapter 4. Chapters 5 and 6 summarize recent appli cations of the variational theory to problems of experimental interest, with many examples of the successful interpretation of complex structural fea tures observed in scattering experiments, and of the quantitative prediction of details of electron-atom scattering phenomena.
Author: A. G. Sitenko
Publisher: Elsevier
ISBN: 1483186822
Category : Science
Languages : en
Pages : 280
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Book Description
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.
