Variational Methods in Electron-Atom Scattering Theory

Variational Methods in Electron-Atom Scattering Theory
Title Variational Methods in Electron-Atom Scattering Theory PDF eBook
Author Robert K. Nesbet
Publisher Springer Science & Business Media
Pages 234
Release 2013-11-21
Genre Science
ISBN 1468484311

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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.

Atomic-Molecular Ionization by Electron Scattering

Atomic-Molecular Ionization by Electron Scattering
Title Atomic-Molecular Ionization by Electron Scattering PDF eBook
Author K. N. Joshipura
Publisher Cambridge University Press
Pages 286
Release 2019-01-24
Genre Science
ISBN 1108498906

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Covers quantum scattering theories, experimental and theoretical calculations and applications in a comprehensive manner.

Scattering Theory of Molecules, Atoms, and Nuclei

Scattering Theory of Molecules, Atoms, and Nuclei
Title Scattering Theory of Molecules, Atoms, and Nuclei PDF eBook
Author Luiz Felipe Canto
Publisher World Scientific
Pages 646
Release 2013
Genre Science
ISBN 9814329835

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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.

Computational Atomic Physics

Computational Atomic Physics
Title Computational Atomic Physics PDF eBook
Author Klaus Bartschat
Publisher Springer
Pages 264
Release 2013-06-29
Genre Science
ISBN 3642610102

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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.

Theoretical Atomic Physics

Theoretical Atomic Physics
Title Theoretical Atomic Physics PDF eBook
Author Harald Siegfried Friedrich
Publisher Springer Science & Business Media
Pages 426
Release 2013-03-09
Genre Science
ISBN 3662037041

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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.

Relativistic Quantum Theory of Atoms and Molecules

Relativistic Quantum Theory of Atoms and Molecules
Title Relativistic Quantum Theory of Atoms and Molecules PDF eBook
Author Ian P Grant
Publisher Springer Science & Business Media
Pages 813
Release 2007-04-15
Genre Science
ISBN 0387350691

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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.

Principles of Quantum Scattering Theory

Principles of Quantum Scattering Theory
Title Principles of Quantum Scattering Theory PDF eBook
Author Dzevad Belkic
Publisher CRC Press
Pages 264
Release 2020-01-15
Genre Science
ISBN 042952496X

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Scattering is one of the most powerful methods used to study the structure of matter, and many of the most important breakthroughs in physics have been made by means of scattering. Nearly a century has passed since the first investigations in this field, and the work undertaken since then has resulted in a rich literature encompassing both experimental and theoretical results. In scattering, one customarily studies collisions among nuclear, sub-nuclear, atomic or molecular particles, and as these are intrinsically quantum systems, it is logical that quantum mechanics is used as the basis for modern scattering theory. In Principles of Quantum Scattering Theory, the author judiciously combines physical intuition and mathematical rigour to present various selected principles of quantum scattering theory. As always in physics, experiment should be used to ultimately validate physical and mathematical modelling, and the author presents a number of exemplary illustrations, comparing theoretical and experimental cross sections in a selection of major inelastic ion-atom collisions at high non-relativistic energies. Quantum scattering theory, one of the most beautiful theories in physics, is also very rich in mathematics. Principles of Quantum Scattering Theory is intended primarily for graduate physics students, but also for non-specialist physicists for whom the clarity of exposition should aid comprehension of these mathematical complexities.