Potential Scattering In Atomic Physics

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Potential Scattering in Atomic Physics

Author : P. G. Burke
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.

Theory of Electron—Atom Collisions

Author : Philip G. Burke
Publisher : Springer Science & Business Media
ISBN 13 : 1489915672
Total Pages : 264 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Theory of Electron—Atom Collisions by : Philip G. Burke

Download or read book Theory of Electron—Atom Collisions written by Philip G. Burke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors aim to hone the theory of electron-atom and electron-ion collisions by developing mathematical equations and comparing their results to the wealth of recent experimental data. This first of three parts focuses on potential scattering, and will serve as an introduction to many of the concepts covered in Parts II and III. As these processes occur in so many of the physical sciences, researchers in astrophysics, atmospheric physics, plasma physics, and laser physics will all benefit from the monograph.

Zero-Range Potentials and Their Applications in Atomic Physics

Author : Yu.N. Demkov
Publisher : Springer Science & Business Media
ISBN 13 : 146845451X
Total Pages : 287 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Zero-Range Potentials and Their Applications in Atomic Physics by : Yu.N. Demkov

Download or read book Zero-Range Potentials and Their Applications in Atomic Physics written by Yu.N. Demkov and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory of Molecules, Atoms and Nuclei

Author : Luiz Felipe Canto
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.

Theoretical Atomic Physics

Author : Harald Friedrich
Publisher : Springer
ISBN 13 : 3319477692
Total Pages : 642 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Theoretical Atomic Physics by : Harald Friedrich

Download or read book Theoretical Atomic Physics written by Harald Friedrich and published by Springer. This book was released on 2017-05-10 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and updated well-established textbook contains an advanced presentationof quantum mechanics adapted to the requirements of modern atomic physics. Itincludes topics of current interest such as semiclassical theory, chaos, atom optics andBose-Einstein condensation in atomic gases. In order to facilitate the consolidationof the material covered, various problems are included, together with completesolutions. The emphasis on theory enables the reader to appreciate the fundamentalassumptions underlying standard theoretical constructs and to embark on independentresearch projects. The fourth edition of Theoretical Atomic Physics contains anupdated treatment of the sections involving scattering theory and near-thresholdphenomena manifest in the behaviour of cold atoms (and molecules). Special attentionis given to the quantization of weakly bound states just below the continuum thresholdand to low-energy scattering and quantum reflection just above. Particular emphasisis laid on the fundamental differences between long-ranged Coulombic potentialsand shorter-ranged potentials falling off faster than 1/r2 at large distances r. The newsections on tunable near-threshold Feshbach resonances and on scattering in two spatialdimensions also address problems relevant for current and future research in the fieldof cold (and ultra-cold) atoms. Graduate students and researchers will find this book avaluable resource and comprehensive reference alike.

Computational Atomic Physics

Author : Klaus Bartschat
Publisher : Springer
ISBN 13 : 3642610102
Total Pages : 264 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Computational Atomic Physics by : Klaus Bartschat

Download or read book Computational Atomic Physics written by Klaus Bartschat and published by Springer. This book was released on 2013-06-29 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Atomic Physics deals with computational methods for calculating electron (and positron) scattering from atoms and ions, including elastic scattering, excitation, and ionization processes. Each chapter is divided into abstract, theory, computer program with sample input and output, summary, suggested problems, and references. An MS-DOS diskette is included, which holds 11 programs covering the features of each chapter and therefore contributing to a deeper understanding of the field. Thus the book provides a unique practical application of advanced quantum mechanics.

Perfect/Complete Scattering Experiments

Author : Hans Kleinpoppen
Publisher : Springer Science & Business Media
ISBN 13 : 3642405142
Total Pages : 340 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Perfect/Complete Scattering Experiments by : Hans Kleinpoppen

Download or read book Perfect/Complete Scattering Experiments written by Hans Kleinpoppen and published by Springer Science & Business Media. This book was released on 2013-12-04 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to elucidate what kind of experiment must be performed in order to determine the full set of independent parameters which can be extracted and calculated from theory, where electrons, photons, atoms, ions, molecules, or molecular ions may serve as the interacting constituents of matter. The feasibility of such perfect' and-or `complete' experiments, providing the complete quantum mechanical knowledge of the process, is associated with the enormous potential of modern research techniques, both, in experiment and theory. It is even difficult to overestimate the role of theory in setting of the complete experiment, starting with the fact that an experiment can be complete only within a certain theoretical framework, and ending with the direct prescription of what, and in what conditions should be measured to make the experiment `complete'. The language of the related theory is the language of quantum mechanical amplitudes and their relative phases. This book captures the spirit of research in the direction of the complete experiment in atomic and molecular physics, considering some of the basic quantum processes: scattering, Auger decay and photo-ionization. It includes a description of the experimental methods used to realize, step by step, the complete experiment up to the level of the amplitudes and phases. The corresponding arsenal includes, beyond determining the total cross section, the observation of angle and spin resolved quantities, photon polarization and correlation parameters, measurements applying coincidence techniques, preparing initially polarized targets, and even more sophisticated methods. The `complete' experiment is, until today, hardly to perform. Therefore, much attention is paid to the results of state-of-the-art experiments providing detailed information on the process, and their comparison to the related theoretical approaches, just to mention relativistic multi-configurational Dirac-Fock, convergent close-coupling, Breit-Pauli R-matrix, or relativistic distorted wave approaches, as well as Green's operator methods. This book has been written in honor of Herbert Walther and his major contribution to the field but even to stimulate advanced Bachelor and Master students by demonstrating that obviously nowadays atomic and molecular scattering physics yields and gives a much exciting appreciation for further advancing the field.

Quantum Mechanics In Potential Representation And Applications

Author : Arvydas Juozapas Janavicius
Publisher : World Scientific
ISBN 13 : 9811216673
Total Pages : 270 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Quantum Mechanics In Potential Representation And Applications by : Arvydas Juozapas Janavicius

Download or read book Quantum Mechanics In Potential Representation And Applications written by Arvydas Juozapas Janavicius and published by World Scientific. This book was released on 2020-07-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written with a focus on new mathematical methods and physical modeling that lay the groundwork for an interpretation to various experimental results and phenomena in nuclear physics, quantum mechanics, and particle physics. Summarized in three parts, the main topics of the book are as follows.The first part importantly addresses scattering theory and nuclear reactions, with the usage of new potential representation method. This perturbation method offers the wave function as a product of the free particle solution and a function which depends on the interaction potential, allowing handy analytical expressions and integral equations for finding scattering matrices. It is highly applicable to the study of scattering and absorption of neutrons in atomic reactors, as well as the interactions between protons and nuclei by scattering processes in, for example, cyclotrons. The second part of the book concerns the perturbation method by variation of free constants and the semi-relativistic shell model of heavy nuclei in order to understand their stability. The last part is then furnished with the semi-relativistic model of mesons and relates to the binding energies of quarks in charm and bottom mesons.This book would be a valuable resource for students and researchers on new mathematical methods in the theoretical unravelling of experiments concerning nuclei and mesons, nuclear reactors, radioactive isotopes, particle accelerators, new materials in electronics and healthcare products, as well as other practical applications of nuclear physics and quantum mechanics.

Variational Methods in Electron-Atom Scattering Theory

Author : Robert K. Nesbet
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.

Theoretical Atomic Physics

Author : Harald Siegfried Friedrich
Publisher : Springer Science & Business Media
ISBN 13 : 3662037041
Total Pages : 426 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Theoretical Atomic Physics by : Harald Siegfried Friedrich

Download or read book Theoretical Atomic Physics written by Harald Siegfried Friedrich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition presents the recent developments in atomic physics. Beginning with a review of quantum mechanics, the book covers important areas of theoretical atomic physics, including semiclassical theory, periodic orbit theory, scaling properties for atoms in external fields, threshold behavior of ionization cross sections, and classical quantum dynamics of two-electron atoms.

Scattering Theory

Author : Harald Friedrich
Publisher : Springer
ISBN 13 : 3662485265
Total Pages : 287 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 287 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.

Electron Scattering

Author : Colm T. Whelan
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.

Perfect/Complete Scattering Experiments

Author : Hans Kleinpoppen
Publisher : Springer
ISBN 13 : 9783642405150
Total Pages : 340 pages
Book Rating : 4.4/5 (51 download)

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Book Synopsis Perfect/Complete Scattering Experiments by : Hans Kleinpoppen

Download or read book Perfect/Complete Scattering Experiments written by Hans Kleinpoppen and published by Springer. This book was released on 2013-12-07 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to elucidate what kind of experiment must be performed in order to determine the full set of independent parameters which can be extracted and calculated from theory, where electrons, photons, atoms, ions, molecules, or molecular ions may serve as the interacting constituents of matter. The feasibility of such perfect' and-or `complete' experiments, providing the complete quantum mechanical knowledge of the process, is associated with the enormous potential of modern research techniques, both, in experiment and theory. It is even difficult to overestimate the role of theory in setting of the complete experiment, starting with the fact that an experiment can be complete only within a certain theoretical framework, and ending with the direct prescription of what, and in what conditions should be measured to make the experiment `complete'. The language of the related theory is the language of quantum mechanical amplitudes and their relative phases. This book captures the spirit of research in the direction of the complete experiment in atomic and molecular physics, considering some of the basic quantum processes: scattering, Auger decay and photo-ionization. It includes a description of the experimental methods used to realize, step by step, the complete experiment up to the level of the amplitudes and phases. The corresponding arsenal includes, beyond determining the total cross section, the observation of angle and spin resolved quantities, photon polarization and correlation parameters, measurements applying coincidence techniques, preparing initially polarized targets, and even more sophisticated methods. The `complete' experiment is, until today, hardly to perform. Therefore, much attention is paid to the results of state-of-the-art experiments providing detailed information on the process, and their comparison to the related theoretical approaches, just to mention relativistic multi-configurational Dirac-Fock, convergent close-coupling, Breit-Pauli R-matrix, or relativistic distorted wave approaches, as well as Green's operator methods. This book has been written in honor of Herbert Walther and his major contribution to the field but even to stimulate advanced Bachelor and Master students by demonstrating that obviously nowadays atomic and molecular scattering physics yields and gives a much exciting appreciation for further advancing the field.

Case Studies in Atomic Physics

Author : E. W. McDaniel
Publisher : Elsevier
ISBN 13 : 148327795X
Total Pages : 444 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Case Studies in Atomic Physics by : E. W. McDaniel

Download or read book Case Studies in Atomic Physics written by E. W. McDaniel and published by Elsevier. This book was released on 2013-10-22 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Case Studies in Atomic Physics III focuses on case studies on atomic and molecular physics, including atomic collisions, transport properties of electrons, ions, molecules, and photons, interaction potentials, spectroscopy, and surface phenomena. The selection first discusses detailed balancing in the time-dependent impact parameter method, as well as time-reversal in the impact parameter method and coupled state approximation. The text also examines the mechanisms of electron production in ion. Topics include measurement of doubly differential cross sections and electron spectra, direct Coulomb ionization, autoionization and Auger effect, charge transfer to continuum states, and electron promotion. The book takes a look at the production of inner-shell vacancies in heavy ion-atom collisions and hyperfine and Zeeman studies of metastable atomic states by atomic-beam magnetic-resonance. Topics include molecular orbital model, experimental considerations, and theoretical considerations and interpretation of experimental results. The manuscript also evaluates the coupled integral-equation approach to nonrelativistic three-body systems with applications to atomic problems, including kinematic theory of three-body system, reduction of the coupled equations, and application to atomic problems. The selection is a dependable reference for readers interested in atomic and molecular physics.

Nuclear Reactions

Author : I. E. McCarthy
Publisher : Elsevier
ISBN 13 : 1483180441
Total Pages : 336 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Nuclear Reactions by : I. E. McCarthy

Download or read book Nuclear Reactions written by I. E. McCarthy and published by Elsevier. This book was released on 2016-06-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Reactions explains the development of nuclear reactions, focusing on the study of the quantum scattering phenomena in terms of pure states. This book discusses the early applications of quantum mechanics; simple quantitative ideas; theory of Breit and Wigner; and statistical properties of resonances. The elastic scattering experiments and optical model fits; particle propagation in the optical model; and nuclear matter are also elaborated. This text likewise covers the shell model; inelastic scattering; and (p, 2p) reaction. This publication is beneficial to undergraduate students who have finished the first course in quantum mechanics, as well as those interested in the theory of nuclear reactions.

Introduction to the Theory of Collisions of Electrons with Atoms and Molecules

Author : Satya P. Khare
Publisher : Springer Science & Business Media
ISBN 13 : 9780306472411
Total Pages : 380 pages
Book Rating : 4.4/5 (724 download)

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Book Synopsis Introduction to the Theory of Collisions of Electrons with Atoms and Molecules by : Satya P. Khare

Download or read book Introduction to the Theory of Collisions of Electrons with Atoms and Molecules written by Satya P. Khare and published by Springer Science & Business Media. This book was released on 2002 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the collisions between micro particles is of great importance for the number of fields belonging to physics, chemistry, astrophysics, biophysics etc. The present book, a theory for electron-atom and molecule collisions is developed using non-relativistic quantum mechanics in a systematic and lucid manner. The scattering theory is an essential part of the quantum mechanics course of all universities. During the last 30 years, the author has lectured on the topics presented in this book (collisions physics, photon-atom collisions, electron-atom and electron-molecule collisions, "electron-photon delayed coincidence technique", etc.) at many institutions including Wayne State University, Detroit, MI, The University of Western Ontario, Canada, and The Meerut University, India. The present book is the outcome of those lectures and is written to serve as a textbook for post-graduate and pre-PhD students and as a reference book for researchers.

Quantum Theory Of Tunneling

Author : Mohsen Razavy
Publisher : World Scientific
ISBN 13 : 9814488445
Total Pages : 574 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Theory Of Tunneling by : Mohsen Razavy

Download or read book Quantum Theory Of Tunneling written by Mohsen Razavy and published by World Scientific. This book was released on 2003-01-29 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. The topics addressed include exponential and nonexponential decay processes and the application of scattering theory to tunneling problems. In addition to the Schrödinger equation approach, the path integral, Heisenberg's equations and the phase space method are all used to study the motion of a particle under the barrier. Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered. Furthermore, recent advances concerning time delay and tunneling times and some of the problems associated with their measurement are also discussed. Finally, some examples of tunneling in atomic, molecular, nuclear and condensed matter physics are presented.