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.

Electron Scattering

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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.

Atomic-Molecular Ionization by Electron Scattering

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Publisher : Cambridge University Press
ISBN 13 : 1108498906
Total Pages : 286 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Atomic-Molecular Ionization by Electron Scattering by : K. N. Joshipura

Download or read book Atomic-Molecular Ionization by Electron Scattering written by K. N. Joshipura and published by Cambridge University Press. This book was released on 2019-01-24 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers quantum scattering theories, experimental and theoretical calculations and applications in a comprehensive manner.

Theory of Electron—Atom Collisions

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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.

Electron-atom Scattering

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Publisher : Nova Biomedical Books
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Electron-atom Scattering by : Maurizio Dapor

Download or read book Electron-atom Scattering written by Maurizio Dapor and published by Nova Biomedical Books. This book was released on 1999 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory approach to the electron-atom scattering theoretical formulation. It focuses on the mathematical tools and on the physics underlying the modern description of electrons, atoms and electron-atom scattering. The first part is devoted to the fundamentals of quantum mechanics, i.e. the Schrodinger equation, the Heisenberg uncertainty principle and the general formalism. The second part concerns the many electron atoms and introduces the scattering of electrons. The third part is devoted to the quantum relativistic theory of the electron and of the electron-atom elastic scattering. The fourth part concerns selected aspects of the interaction of electrons with the matter: absorption, backscattering, transmission, depth distribution of the absorbed electrons, energy and angular distribution of the backscattered electrons, and secondary electrons.

Electron Scattering in Solid Matter

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Publisher : Springer Science & Business Media
ISBN 13 : 3540270019
Total Pages : 386 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Electron Scattering in Solid Matter by : Jan Zabloudil

Download or read book Electron Scattering in Solid Matter written by Jan Zabloudil and published by Springer Science & Business Media. This book was released on 2005-12-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing graduate students and researchers, this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions, on full potential approaches and on relativistic treatments. For the first time approaches such as the screened Korringa-Kohn-Rostoker method are reviewed, considering all formal steps such as single-site scattering, structure constants and screening transformations, and also the numerical point of view. Furthermore, a very general approach is presented for solving the Poisson equation, needed within density functional theory in order to achieve self-consistency. Special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method, used, for example, for describing nanostructured matter in real space. In a final chapter, physical properties related to the (single-particle) Green's function, such as magnetic anisotropies, interlayer exchange coupling, electric and magneto-optical transport and spin-waves, serve to illustrate the usefulness of the methods described.

Computational Atomic Physics

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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.

Handbook of Theoretical Atomic Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642247520
Total Pages : 799 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Handbook of Theoretical Atomic Physics by : Miron Amusia

Download or read book Handbook of Theoretical Atomic Physics written by Miron Amusia and published by Springer Science & Business Media. This book was released on 2012-07-23 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present highly accurate and extensive theoretical Atomic data and to give a survey of selected calculational methods for atomic physics, used to obtain these data. The book presents the results of calculations of cross sections and probabilities of a broad variety of atomic processes with participation of photons and electrons, namely on photoabsorption, electron scattering and accompanying effects. Included are data for photoabsorption and electron scattering cross-sections and probabilities of vacancy decay formed for a large number of atoms and ions. Attention is also given to photoionization and vacancy decay in endohedrals and to positron-atom scattering. The book is richly illustrated. The methods used are one-electron Hartree-Fock and the technique of Feynman diagrams that permits to include many-electron correlations. This is done in the frames of the Random Phase approximation with exchange and the many-body perturbation theory. Newly obtained and previously collected atomic data are presented. The atomic data are useful for investigating the electronic structure and physical processes in solids and liquids, molecules and clusters, astronomical objects, solar and planet atmospheres and atomic nucleus. Deep understanding of chemical reactions and processes is reached by deep and accurate knowledge of atomic structure and processes with participation of atoms. This book is useful for theorists performing research in different domains of contemporary physics, chemistry and biology, technologists working on production of new materials and for experimentalists performing research in the field of photon and electron interaction with atoms, molecules, solid bodies and liquids.

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

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Publisher : Springer Science & Business Media
ISBN 13 : 1461506115
Total Pages : 362 pages
Book Rating : 4.4/5 (615 download)

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

Download or read book Introduction to the Theory of Collisions of Electrons with Atoms and Molecules written by S.P. Khare and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 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.

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.

Elastic and Inelastic Scattering in Electron Diffraction and Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 1489915796
Total Pages : 461 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Elastic and Inelastic Scattering in Electron Diffraction and Imaging by : Zhong-lin Wang

Download or read book Elastic and Inelastic Scattering in Electron Diffraction and Imaging written by Zhong-lin Wang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic and inelastic scattering in transmission electron microscopy (TEM) are important research subjects. For a long time, I have wished to systematically summarize various dynamic theories associated with quantitative electron micros copy and their applications in simulations of electron diffraction patterns and images. This wish now becomes reality. The aim of this book is to explore the physics in electron diffraction and imaging and related applications for materials characterizations. Particular emphasis is placed on diffraction and imaging of inelastically scattered electrons, which, I believe, have not been discussed exten sively in existing books. This book assumes that readers have some preknowledge of electron microscopy, electron diffraction, and quantum mechanics. I anticipate that this book will be a guide to approaching phenomena observed in electron microscopy from the prospects of diffraction physics. The SI units are employed throughout the book except for angstrom (A), which is used occasionally for convenience. To reduce the number of symbols used, the Fourier transform of a real-space function P'(r), for example, is denoted by the same symbol P'(u) in reciprocal space except that r is replaced by u. Upper and lower limits of an integral in the book are (-co, co) unless otherwise specified. The (-co, co) integral limits are usually omitted in a mathematical expression for simplification. I very much appreciate opportunity of working with Drs. J. M. Cowley and J. C. H. Spence (Arizona State University), J.

Scattering of Photons by Many-Electron Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642042562
Total Pages : 145 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Scattering of Photons by Many-Electron Systems by : Alexey N. Hopersky

Download or read book Scattering of Photons by Many-Electron Systems written by Alexey N. Hopersky and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum physics of photon scattering processes in atoms, atomic ions and simple molecules, are discussed in this unique approach. Focusing on this topic from a theoretical perspective, this volume fulfills a need for researchers and students in the field.

Parity Violation In Atoms And In Polarized Electron Scattering

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Publisher : World Scientific
ISBN 13 : 9814544086
Total Pages : 550 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Parity Violation In Atoms And In Polarized Electron Scattering by : Marie-anne Bouchiat

Download or read book Parity Violation In Atoms And In Polarized Electron Scattering written by Marie-anne Bouchiat and published by World Scientific. This book was released on 1999-07-13 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years there has been considerable progress in improving the accuracy of parity violation experiments in electron scattering at high energy and in atomic physics. Recent results are a challenge to the standard electroweak theory and our understanding of hadron structure. This book is an extensive review of the advances in this field. The theoretical framework is presented at a pedagogical level, experiments and future projects are reviewed, and the results and their interpretation are discussed in depth.

Collisions of Electrons with Atoms and Molecules

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Publisher : Springer Science & Business Media
ISBN 13 : 1461317797
Total Pages : 252 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Collisions of Electrons with Atoms and Molecules by : G.F. Drukarev

Download or read book Collisions of Electrons with Atoms and Molecules written by G.F. Drukarev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a short outline of the present state of the theory of electron collisions with atomic particles - atoms, molecules and ions. It is addressed to those who by nature of their work need detailed information about the cross sections of various processes of electron collisions with atomic particles: experimentalists working in plasma physics, optics, quantum electronics, atmospheric and space physics, 'etc. Some of the cross sections have been measured. But in many important cases the only source of information is theoretical calcu lation. The numerous theoretical papers dealing with electronic collision processes contain various approximations. The inter relation between them and the level of their accuracy is often diffi cult to understand without a systematic study of the theory of atomic collisions, not to mention that theoretical considerations are necessary for the consistent interpretation of experimental results. The main constituents of the book are: 1. General theory with special emphasis on the topics most impor tant for understanding and discussing electron collisions with atomic particles.

Fundamentals of Inelastic Electron Scattering

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Publisher : Springer Science & Business Media
ISBN 13 : 3709188660
Total Pages : 205 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Fundamentals of Inelastic Electron Scattering by : P. Schattschneider

Download or read book Fundamentals of Inelastic Electron Scattering written by P. Schattschneider and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron energy loss spectroscopy (ELS) is a vast subject with a long and honorable history. The problem of stopping power for high energy particles interested the earliest pioneers of quantum mechanics such as Bohr and Bethe, who laid the theoretical foun dations of the subject. The experimental origins might perhaps be traced to the original Franck-Hertz experiment. The modern field includes topics as diverse as low energy reflection electron energy loss studies of surface vibrational modes, the spectroscopy of gases and the modern theory of plasmon excitation in crystals. For the study of ELS in electron microscopy, several historically distinct areas of physics are relevant, including the theory of the Debye Waller factor for virtual inelastic scattering, the use of complex optical potentials, lattice dynamics for crystalline specimens and the theory of atomic ionisation for isolated atoms. However the field of electron energy loss spectroscopy contains few useful texts which can be recommended for students. With the recent appearance of Raether's and Egerton's hooks (see text for references), we have for the first time both a comprehensive review text-due to Raether-and a lucid introductory text which emphasizes experimental aspects-due to Egerton. Raether's text tends to emphasize the recent work on surface plasmons, while the strength of Egerton's book is its treatment of inner shell excitations for microanalysis, based on the use of atomic wavefunctions for crystal electrons.

Electron-Molecule Collisions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461323576
Total Pages : 578 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Electron-Molecule Collisions by : Isao Shimamura

Download or read book Electron-Molecule Collisions written by Isao Shimamura and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering phenomena play an important role in modern physics. Many significant discoveries have been made through collision experiments. Amongst diverse kinds of collision systems, this book sheds light on the collision of an electron with a molecule. The electron-molecule collision provides a basic scattering problem. It is scattering by a nonspherical, multicentered composite particle with its centers having degrees of freedom of motion. The molecule can even disintegrate, Le., dissociate or ionize into fragments, some or all of which may also be molecules. Although it is a difficult problem, the recent theoretical, experimental, and computational progress has been so significant as to warrant publication of a book that specializes in this field. The progress owes partly to technical develop ments in measurements and computations. No less important has been the great and continuing stimulus from such fields of application as astrophysics, the physics of the earth's upper atmosphere, laser physics, radiation physics, the physics of gas discharges, magnetohydrodynamic power generation, and so on. This book aims at introducing the reader to the problem of electron molecule collisions, elucidating the physics behind the phenomena, and review ing, to some extent, up-to-date important results. This book should be appropri ate for graduate reading in physics and chemistry. We also believe that investi gators in atomic and molecular physics will benefit much from this book.

Electron-Atom Collisions

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Publisher : Cambridge University Press
ISBN 13 : 9780521019682
Total Pages : 344 pages
Book Rating : 4.0/5 (196 download)

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Book Synopsis Electron-Atom Collisions by : Ian E. McCarthy

Download or read book Electron-Atom Collisions written by Ian E. McCarthy and published by Cambridge University Press. This book was released on 2005-09-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to electron-atom collisions, covering both theory and experiment. The interaction of electrons with atoms is the field that most deeply probes both the structure and reaction dynamics of a many-body system. The book begins with a short account of experimental techniques of cross-section measurement. It then introduces the essential quantum mechanics background needed. The following chapters cover one-electron problems (from the classic particle in a box to a relativistic electron in a central potential), the theory of atomic bound states, formal scattering theory, calculation of scattering amplitudes, spin-independent and spin-dependent scattering observables, ionisation and electron momentum spectroscopy. The connections between experimental and theoretical developments are emphasised throughout.