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Atomic Scattering Theory
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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.
Book Synopsis Principles of Quantum Scattering Theory by : Dzevad Belkic
Download or read book Principles of Quantum Scattering Theory written by Dzevad Belkic and published by CRC Press. This book was released on 2020-01-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
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.
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.
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:
Author :John Nuttall Publisher :London, Ont. : Department of Physics, University of Western Ontario ISBN 13 : Total Pages :246 pages Book Rating :4.3/5 (91 download)
Book Synopsis Atomic Scattering Theory by : John Nuttall
Download or read book Atomic Scattering Theory written by John Nuttall and published by London, Ont. : Department of Physics, University of Western Ontario. This book was released on 1978 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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 656 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.
Book Synopsis Topics in Atomic Collision Theory by : Sydney Geltman
Download or read book Topics in Atomic Collision Theory written by Sydney Geltman and published by Academic Press. This book was released on 2013-10-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Atomic Collision Theory originated in a course of graduate lectures given at the University of Colorado and at University College in London. It is recommended for students in physics and related fields who are interested in the application of quantum scattering theory to low-energy atomic collision phenomena. No attention is given to the electromagnetic, nuclear, or elementary particle domains. The book is organized into three parts: static field scattering, electron-atom collisions, and atom-atom collisions. These are in the order of increasing physical complexity and hence necessarily in the order of decreasing mathematical tractability. The topics and methods selected were those which contributed most significantly to the understanding of the physics and the calculation of reliable cross sections. The attempt has been made to treat each of the sections in a complete and self-contained manner. The limited scope of this book has unfortunately made it necessary to omit discussion of many promising methods.
Download or read book Scattering Theory written by and published by . This book was released on 1950 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elementary Theory of Scattering by : P.K. Verma
Download or read book Elementary Theory of Scattering written by P.K. Verma and published by Atlantic Publishers & Dist. This book was released on 2005 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book Elementary Theory Of Scattering Contains Vector Representation, Linear Operator, Matrix Representation, Schrodinger Picture, Heisenberg Picture, Interaction Picture, Hilbert Space, And Their Applications In Theory Of Scattering. All Standard Integrals And Functions Like Bessel S Function, Green S Function And Fourier Series Have Been Properly Presented To Illustrate The Theory Of Scattering.Transition-Matrix, S-Matrix And Modified Born-Approximation Are Included So That Scattering Theory Can Be Conveniently Comprehended And Extended As Per The Need Of The Interactions.It Is Compatible With The Courses Of Studies Of Honours Degree And Postgraduate Levels.
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.
Book Synopsis Atomic Scattering Theory by : B.L. Moiseiwitsch
Download or read book Atomic Scattering Theory written by B.L. Moiseiwitsch and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 806 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.
Book Synopsis The Theory of Atomic Collisions by : Sir Nevill Francis Mott
Download or read book The Theory of Atomic Collisions written by Sir Nevill Francis Mott and published by Oxford University Press, USA. This book was released on 1987 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first paperback edition of a classic, enduring work. Volume I describes various aspects of the one-body collision problem. Volume II covers many-body problems and applications of theory to electron collisions with atoms, collisions between atomic systems, nuclear collisions, and two-body collisions under relativistic conditions. The use of time-dependent perturbation theory is also discussed.
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.
