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:
Download or read book Semi Classical Methods for Nucleus Nucleus Scattering written by D. M. Brink and published by Cambridge University Press. This book was released on 2009-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: During past years many countries constructed large accelerators for investigating heavy ion collisions, and new theoretical techniques for analysing results and making predictions were developed. Semi-classical methods were studied in the early days of quantum mechanics. Their application to heavy ion collisions has led to new advances and a number of different schools have grown up, each one emphasising different aspects of the theory. The aim of this book is to present a unified treatment of various lines of development. 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, such as atomic physics and quantum chemistry, where similar techniques are used.
Download or read book Theory And Application Of Quantum Molecular Dynamics written by John Zeng Hui Zhang and published by World Scientific. This book was released on 1998-12-08 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Analytical and Computational Methods in Scattering and Applied Mathematics written by Fadil Santosa and published by CRC Press. This book was released on 2019-05-07 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Mathematical Methods and Applications of Scattering Theory Proceedings of a Conference Held at Catholic University Washington DC on May 21 25 1979 written by and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Methods and Applications of Scattering Theory Proceedings of a Conference Held at Catholic University Washington DC on May 21 25 1979 written by and published by . This book was released on 1980 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Potential Scattering in Atomic Physics written by P. G. Burke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Variational Methods in Electron Atom Scattering Theory written by Robert K. Nesbet and published by Springer. This book was released on 2013-11-09 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Scattering Theory in Quantum Mechanics written by Werner O. Amrein and published by Addison Wesley Longman. This book was released on 1977 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Time Delay in Semi classical Scattering Theory written by M. P. Pato and published by . This book was released on 1994 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of Chemical Physics and Physical Chemistry written by John H. Moore and published by CRC Press. This book was released on 2023-07-03 with total page 1161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Physical Chemistry and Chemical Physics introduces possibly unfamiliar areas, explains important experimental and computational techniques, and describes modern endeavors. The encyclopedia quickly provides the basics, defines the scope of each subdiscipline, and indicates where to go for a more complete and detailed explanation. Particular attention has been paid to symbols and abbreviations to make this a user-friendly encyclopedia. Care has been taken to ensure that the reading level is suitable for the trained chemist or physicist. The encyclopedia is divided in three major sections: FUNDAMENTALS: the mechanics of atoms and molecules and their interactions, the macroscopic and statistical description of systems at equilibrium, and the basic ways of treating reacting systems. The contributions in this section assume a somewhat less sophisticated audience than the two subsequent sections. At least a portion of each article inevitably covers material that might also be found in a modern, undergraduate physical chemistry text. METHODS: the instrumentation and fundamental theory employed in the major spectroscopic techniques, the experimental means for characterizing materials, the instrumentation and basic theory employed in the study of chemical kinetics, and the computational techniques used to predict the static and dynamic properties of materials. APPLICATIONS: specific topics of current interest and intensive research. For the practicing physicist or chemist, this encyclopedia is the place to start when confronted with a new problem or when the techniques of an unfamiliar area might be exploited. For a graduate student in chemistry or physics, the encyclopedia gives a synopsis of the basics and an overview of the range of activities in which physical principles are applied to chemical problems. It will lead any of these groups to the salient points of a new field as rapidly as possible and gives pointers as to where to read about the topic in more detail.
Download or read book Electron Dynamics In Molecular Interactions Principles And Applications written by Frank Hagelberg and published by World Scientific. This book was released on 2013-12-23 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a comprehensive introduction to the theory of electronic motion in molecular processes — an increasingly relevant and rapidly expanding segment of molecular quantum dynamics. Emphasis is placed on describing and interpreting transitions between electronic states in molecules as they occur typically in cases of reactive scattering between molecules, photoexcitation or nonadiabatic coupling between electronic and nuclear degrees of freedom.Electron Dynamics in Molecular Interactions aims at a synoptic presentation of some very recent theoretical efforts to solve the electronic problem in quantum molecular dynamics, contrasting them with more traditional schemes. The presented models are derived from their roots in basic quantum theory, their interrelations are discussed, and their characteristic applications to concrete chemical systems are outlined. This volume also includes an assessment of the present status of electron dynamics and a report on novel developments to meet the current challenges in the field.Further, this monograph responds to a need for a systematic comparative treatise on nonadiabatic theories of quantum molecular dynamics, which are of considerably higher complexity than the more traditional adiabatic approaches and are steadily gaining in importance. This volume addresses a broad readership ranging from physics or chemistry graduate students to specialists in the field of theoretical quantum dynamics.
Download or read book Computational Molecular Dynamics Challenges Methods Ideas written by Peter Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 21-24, 1997 the Second International Symposium on Algorithms for Macromolecular Modelling was held at the Konrad Zuse Zentrum in Berlin. The event brought together computational scientists in fields like biochemistry, biophysics, physical chemistry, or statistical physics and numerical analysts as well as computer scientists working on the advancement of algorithms, for a total of over 120 participants from 19 countries. In the course of the symposium, the speakers agreed to produce a representative volume that combines survey articles and original papers (all refereed) to give an impression of the present state of the art of Molecular Dynamics. The 29 articles of the book reflect the main topics of the Berlin meeting which were i) Conformational Dynamics, ii) Thermodynamic Modelling, iii) Advanced Time-Stepping Algorithms, iv) Quantum-Classical Simulations and Fast Force Field and v) Fast Force Field Evaluation.
