Scattering Theory of Molecules, Atoms and Nuclei

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Author :
Publisher : World Scientific
ISBN 13 : 9814329843
Total Pages : 646 pages
Book Rating : 4.8/5 (143 download)

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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.

Electron Scattering

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387275673
Total Pages : 342 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Electron Scattering by : Colm T. Whelan

Download or read book Electron Scattering written by Colm T. Whelan and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a unity to physics; it is a discipline which provides the most fundamental understanding of the dynamics of matter and energy. To understand anything about a physical system you have to interact with it and one of the best ways to learn something is to use electrons as probes. This book is the result of a meeting, which took place in Magdalene College Cambridge in December 2001. Atomic, nuclear, cluster, soHd state, chemical and even bio- physicists got together to consider scattering electrons to explore matter in all its forms. Theory and experiment were represented in about equal measure. It was meeting marked by the most lively of discussions and the free exchange of ideas. We all learnt a lot. The Editors are grateful to EPSRC through its Collaborative Computational Project program (CCP2), lOPP, the Division of Atomic, Molecular, Optical and Plasma Physics (DAMOPP) and the Atomic Molecular Interactions group (AMIG) of the Institute of Physics for financial support. The smooth running of the meeting was enormously facilitated by the efficiency and helpfulness of the staff of Magdalene College, for which we are extremely grateful. This meeting marked the end for one of us (CTW) of a ten-year period as a fellow of the College and he would like to take this opportunity to thank the fellows and staff for the privilege of working with them.

Scattering Theory of Molecules, Atoms, and Nuclei

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Author :
Publisher : World Scientific
ISBN 13 : 9814329835
Total Pages : 646 pages
Book Rating : 4.8/5 (143 download)

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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 the atomic/molecular scattering from those for nuclear systems, are shown to be the same once the physical units such as energy, 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 clarify this. We also lean heavily on semi-classical methods to explain the physics of quantum scattering and especially the interference seen in the angle dependence of the cross section. Having in mind a wider 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.

Relativistic Quantum Theory of Atoms and Molecules

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387350691
Total Pages : 813 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Relativistic Quantum Theory of Atoms and Molecules by : Ian P Grant

Download or read book Relativistic Quantum Theory of Atoms and Molecules written by Ian P Grant and published by Springer Science & Business Media. This book was released on 2007-04-15 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for physicists and chemists who need to understand the theory of atomic and molecular structure and processes, and who wish to apply the theory to practical problems. As far as practicable, the book provides a self-contained account of the theory of relativistic atomic and molecular structure, based on the accepted formalism of bound-state Quantum Electrodynamics. The author was elected a Fellow of the Royal Society of London in 1992.

Variational Methods in Electron-Atom Scattering Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1468484311
Total Pages : 234 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Variational Methods in Electron-Atom Scattering Theory by : Robert K. Nesbet

Download or read book Variational Methods in Electron-Atom Scattering Theory written by Robert K. Nesbet and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 234 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.

Scattering Theory

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Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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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:

Potential Scattering in Atomic Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461341124
Total Pages : 137 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Potential Scattering in Atomic Physics by : P. G. Burke

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.

Scattering Theory

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Author :
Publisher : Springer
ISBN 13 : 3662485265
Total Pages : 293 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Scattering Theory by : Harald Friedrich

Download or read book Scattering Theory written by Harald Friedrich and published by Springer. This book was released on 2015-11-20 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This corrected and updated second edition of "Scattering Theory" presents a concise and modern coverage of the subject. In the present treatment, special attention is given to the role played by the long-range behaviour of the projectile-target interaction, and a theory is developed, which is well suited to describe near-threshold bound and continuum states in realistic binary systems such as diatomic molecules or molecular ions. It is motivated by the fact that experimental advances have shifted and broadened the scope of applications where concepts from scattering theory are used, e.g. to the field of ultracold atoms and molecules, which has been experiencing enormous growth in recent years, largely triggered by the successful realization of Bose-Einstein condensates of dilute atomic gases in 1995. The book contains sections on special topics such as near-threshold quantization, quantum reflection, Feshbach resonances and the quantum description of scattering in two dimensions. The level of abstraction is kept as low as at all possible and deeper questions related to the mathematical foundations of scattering theory are passed by. It should be understandable for anyone with a basic knowledge of nonrelativistic quantum mechanics. The book is intended for advanced students and researchers, and it is hoped that it will be useful for theorists and experimentalists alike.

Theory of Neutron Scattering from Condensed Matter: Nuclear scattering

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Author :
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Theory of Neutron Scattering from Condensed Matter: Nuclear scattering by : Stephen W. Lovesey

Download or read book Theory of Neutron Scattering from Condensed Matter: Nuclear scattering written by Stephen W. Lovesey and published by Oxford University Press, USA. This book was released on 1984 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable, up-to-date reference aid for investigators and researchers, this two-volume work develops the principles and concepts of statistical physics and quantum chemistry that are the basis for the interpretation of experimental data. These volumes build on the author's now standard text, Theory of Neutron Scattering (Oxford University Press, 1971), and include expanded coverage of nuclear scattering, with many sections completely rewritten and updated, and many previously unpublished experimental calculations. With a greatly expanded bibliography including 200 new references, this work will interest graduate students and researchers in physics.

Modern Physics

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Publisher : Courier Dover Publications
ISBN 13 : 0486802264
Total Pages : 708 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Modern Physics by : Robert L. Sproull

Download or read book Modern Physics written by Robert L. Sproull and published by Courier Dover Publications. This book was released on 2015-01-19 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the concepts and methods of quantum mechanics employs the analysis of one-dimensional problems to offer students a quantitative understanding of atomic, molecular, solid-state, and nuclear physics. Applications of these concepts and methods help answer the most intriguing questions of modern physics: What holds matter together? Holds it apart? How does the variety of chemical properties of different elements arise? How do electrons move through solids? Why do nuclei that occur in nature possess only certain combinations of protons and neutrons? The text presents meaningful problems by topic — supplemented by ample illustrations, applications, and exercises — that address the most intriguing questions of modern physics. Answers to selected problems appear in the appendix. Geared toward science and engineering majors, this volume is also appropriate for independent study by those who have completed a general physics course.

Scattering Theory

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Publisher : Springer
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (45 download)

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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.

The Scattering of Electrons by Atomic Nuclei

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Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Scattering of Electrons by Atomic Nuclei by : Peter C. Giles

Download or read book The Scattering of Electrons by Atomic Nuclei written by Peter C. Giles and published by . This book was released on 1953 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Nuclear Physics

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Publisher : Springer Nature
ISBN 13 : 9811963452
Total Pages : 4180 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Handbook of Nuclear Physics by : Isao Tanihata

Download or read book Handbook of Nuclear Physics written by Isao Tanihata and published by Springer Nature. This book was released on 2023-09-04 with total page 4180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is a comprehensive, systematic source of modern nuclear physics. It aims to summarize experimental and theoretical discoveries and an understanding of unstable nuclei and their exotic structures, which were opened up by the development of radioactive ion (RI) beam in the late 1980s. The handbook comprises three major parts. In the first part, the experiments and measured facts are well organized and reviewed. The second part summarizes recognized theories to explain the experimental facts introduced in the first part. Reflecting recent synergistic progress involving both experiment and theory, the chapters both parts are mutually related. The last part focuses on cosmo-nuclear physics—one of the mainstream subjects in modern nuclear physics. Those comprehensive topics are presented concisely. Supported by introductory reviews, all chapters are designed to present their topics in a manner accessible to readers at the graduate level. The book therefore serves as a valuable source for beginners as well, helping them to learn modern nuclear physics.

Electron-Atom and Electron-Molecule Collisions

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Publisher : Springer Science & Business Media
ISBN 13 : 1489921486
Total Pages : 353 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Electron-Atom and Electron-Molecule Collisions by : Jürgen Hinze

Download or read book Electron-Atom and Electron-Molecule Collisions written by Jürgen Hinze and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume have been presented during a workshop on "Electron-Atom and Molecule Collisions" held at the Centre for Interdisciplinary Studies of the University of Bielefeld in May 1980. This workshop, part of a larger program concerned with the "Properties and Reactions of Isolated Molecules and Atoms," focused on the theory and computational techniques for the quanti tative description of electron scattering phenomena. With the advances which have been made in the accurate quantum mechanical characterisation of bound states of atoms and molecules, the more complicated description of the unbound systems and resonances important in electron collision processes has matured too. As expli cated in detail in the articles of this volume, the theory for the quantitative explanation of elastic and inelastic electron molecule collisions, of photo- and multiple photon ionization and even for electron impact ionization is well developed in a form which lends itself to a complete quantitative ab initio interpretation and pre diction of the observable effects. Many of the experiences gained and the techniques which have evolved over the years in the com putational characterization of bound states have become an essential basis for this development. To be sure, much needs to be done before we have a complete and detailed theoretical understanding of the known collisional processes and of the phenomena and effects, which may still be un covered with the continuing refinement of the experimental tech niques.

An Assessment of U.S.-Based Electron-Ion Collider Science

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Author :
Publisher : National Academies Press
ISBN 13 : 0309478561
Total Pages : 153 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis An Assessment of U.S.-Based Electron-Ion Collider Science by : National Academies of Sciences, Engineering, and Medicine

Download or read book An Assessment of U.S.-Based Electron-Ion Collider Science written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2018-10-13 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding of protons and neutrons, or "nucleons"â€"the building blocks of atomic nucleiâ€"has advanced dramatically, both theoretically and experimentally, in the past half century. A central goal of modern nuclear physics is to understand the structure of the proton and neutron directly from the dynamics of their quarks and gluons governed by the theory of their interactions, quantum chromodynamics (QCD), and how nuclear interactions between protons and neutrons emerge from these dynamics. With deeper understanding of the quark-gluon structure of matter, scientists are poised to reach a deeper picture of these building blocks, and atomic nuclei themselves, as collective many-body systems with new emergent behavior. The development of a U.S. domestic electron-ion collider (EIC) facility has the potential to answer questions that are central to completing an understanding of atoms and integral to the agenda of nuclear physics today. This study assesses the merits and significance of the science that could be addressed by an EIC, and its importance to nuclear physics in particular and to the physical sciences in general. It evaluates the significance of the science that would be enabled by the construction of an EIC, its benefits to U.S. leadership in nuclear physics, and the benefits to other fields of science of a U.S.-based EIC.

Electron Scattering From Complex Nuclei V36A

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Publisher : Academic Press
ISBN 13 : 0323148123
Total Pages : 496 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Electron Scattering From Complex Nuclei V36A by : Herbert Uberall

Download or read book Electron Scattering From Complex Nuclei V36A written by Herbert Uberall and published by Academic Press. This book was released on 2012-12-02 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron Scattering from Complex Nuclei, Part A covers the historical phases of experimental development in elastic and inelastic electron scattering. This five-chapter text presents the logical development of the underlying theory of electron scattering. After briefly discussing the history of electron scattering from nuclei, this book goes on describing the theory of elastic scattering from a point nucleus, both with Born approximation and the accurate solution of the Dirac equation, as well as the corresponding experiments. The following chapter considers the analysis of nuclear charge distributions experiments using Born cross section and phase-shift methods. A chapter is devoted to the complete elastic and inelastic Born theory. This chapter also deals with the derivation of a theorem on the general form of the electron-nucleus scattering cross section, with an emphasis on the influence of the neglected transverse interaction on the cross section. The last chapter presents the status of elastic scattering along with some topics in muonic atoms that also determine nuclear charge densities. This book will be of great benefit to physicists, researchers, and graduate students who are interested in nuclear structure problems.

Scattering Theory

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Publisher : Springer
ISBN 13 : 9783642840340
Total Pages : 0 pages
Book Rating : 4.8/5 (43 download)

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Book Synopsis Scattering Theory by : Aleksei G. Sitenko

Download or read book Scattering Theory written by Aleksei G. Sitenko and published by Springer. This book was released on 1991 with total page 0 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.