Variational Methods in Electron-Atom Scattering Theory

Variational Methods in Electron-Atom Scattering Theory PDF Author: Robert K. Nesbet
Publisher: Springer Science & Business Media
ISBN: 1468484311
Category : Science
Languages : en
Pages : 234

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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.

Variational Methods in Electron-Atom Scattering Theory

Variational Methods in Electron-Atom Scattering Theory PDF Author: Robert K. Nesbet
Publisher: Springer Science & Business Media
ISBN: 1468484311
Category : Science
Languages : en
Pages : 234

Get Book Here

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.

Electron-Atom and Electron-Molecule Collisions

Electron-Atom and Electron-Molecule Collisions PDF Author: Jürgen Hinze
Publisher: Springer Science & Business Media
ISBN: 1489921486
Category : Science
Languages : en
Pages : 353

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Book Description
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.

Computing Methods in Applied Sciences and Engineering

Computing Methods in Applied Sciences and Engineering PDF Author: R. Glowinski
Publisher: SIAM
ISBN: 9780898712643
Category : Science
Languages : en
Pages : 464

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Book Description
"Proceedings of the Ninth International Conference on Computing Methods in Applied Sciences and Engineering, Paris, France, January 29-February 2, 1990"--T.p. verso.

Atomic Scattering Theory

Atomic Scattering Theory PDF Author: John Nuttall
Publisher: London, Ont. : Department of Physics, University of Western Ontario
ISBN:
Category : Nuclear physics
Languages : en
Pages : 246

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Book Description


Fundamental Processes in Energetic Atomic Collisions

Fundamental Processes in Energetic Atomic Collisions PDF Author: H.O. Lutz
Publisher: Springer Science & Business Media
ISBN: 146133781X
Category : Science
Languages : en
Pages : 675

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Book Description
In recent years, the impact of new experimental techniques (e.g., nuclear physics methods, availability of high-intensity light sources) as well as an increasing demand for atomic collision data in other fields of physics (e.g., plasma physics, astrophysics, laser physics, surface physics, etc.) have stimulated a renewed, strong interest in atomic collision research. Due to the explosive development of the various fields, scientists often even have dif ficulty in keeping up with their own area of research; as a result, the overlap between different fields tends to remain rather limited. Instead of having access to the full knowledge accumulated in other fields, one uses only the small fraction which at the moment seems to be of immediate importance to one's own area of interest. Clearly, many fruitful and stimulating ideas are lost in this way, causing progress to be made much more slowly than it could be. Atomic col lision physics is no exception to this rule. Although it is of basic interest to many other areas, it is mostly regarded merely as a (nonetheless important) tool by which to gain additional information.

Variational Principles and Methods in Theoretical Physics and Chemistry

Variational Principles and Methods in Theoretical Physics and Chemistry PDF Author: Robert K. Nesbet
Publisher: Cambridge University Press
ISBN: 1139435698
Category : Science
Languages : en
Pages : 245

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Book Description
This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry.

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 938

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Book Description


Advances in Atomic, Molecular, and Optical Physics

Advances in Atomic, Molecular, and Optical Physics PDF Author:
Publisher: Elsevier
ISBN: 0080561446
Category : Science
Languages : en
Pages : 497

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Book Description
The latest volume in the highly acclaimed series addresses atomic collisions, assessing the status of the current knowledge, identifying deficiencies, and exploring ways to improve the quality of cross-section data.Eleven articles, written by foremost experts, focus on cross-section determination by experiment or theory, on needs in selected applications, and on efforts toward the compilation and dissemination of data. This is the first volume edited under the additional direction of Herbert Walther. Presents absolute cross sections for atomic collisions Uses benchmark measurements and benchmark calculations Discusses needs for cross-section data in applications Contains a guide to data resources, bibliographies, and compendia

Collision Theory for Atoms and Molecules

Collision Theory for Atoms and Molecules PDF Author: Franco A. Gianturco
Publisher: Springer Science & Business Media
ISBN: 1468456555
Category : Science
Languages : en
Pages : 527

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Book Description
The NATO-Advanced Study Institute on "Collision Theory for Atoms and Molecules" was made possible by the main sponsorship and the generous financial support of the NATO Scientific Affairs Division in Brussels. Belgium. Special thanks are therefore due to the late Dr. Mario Di Lullo and to Dr. Craig Sinclair. of this Division. who repeatedly advised us and kept us aware of administrative requirements. The Institute was also assisted by the financial aid from the Scientific Committees for Chemistry and Physics of the Italian National Research Council (CNR). The search and selection of a suitable location. one which participants would easily reach from any of Italy's main airports, was ably aided by the Personnel of the Scuola Normale Superiore of Pisa and made possible by its Directorship. Our thanks therefore go to its present director. Prof. L. Radicati. and to its past director. Prof. E. Vesentini who first agreed to our use of their main building in Pisa and of their palatial facilities at the "Palazzone" in Cortona.

Molecular Applications of Quantum Defect Theory

Molecular Applications of Quantum Defect Theory PDF Author: Ch Jungen
Publisher: Routledge
ISBN: 1351430343
Category : Science
Languages : en
Pages : 665

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Book Description
As a consequence of new experimental techniques in optical and collision physics, such as multiphoton excitation and VUV radiation generation, quantum defect theory (QDT) has become more widely used as a theoretical tool for experimentalists. Drawing together a historical body of work that contains key research and review papers, Molecular Applica