Download or read book The Variational Method in Electron hydrogen Scattering written by Robert Louis Armstead and published by . This book was released on 1965 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book THE VARIATIONAL METHOD IN ELECTRON HYDROGEN SCATTERING thesis written by and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Nonadiabatic Theory of Electron hydrogen Scattering written by S. Temkin and published by . This book was released on 1962 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scattering S wave Electrons Off Atomic Hydrogen written by Robert Thomas Elsberry and published by . This book was released on 1969 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kohn variational method of calculating scattering phase shifts has been examined previously, and calculations of the phase shifts of S-wave electrons on atomic hydrogen done, by Schwartz. The paper presents the results of using a trial function somewhat simpler than Schwartz's and compares the two sets of results. In addition this paper presents and compares the results of two different normalizations of the variational principle and gives a somewhat more detailed development of the variational principle used than in most previous papers. (Author).

Download or read book Scattering S wave Electrons Off Atomic Hydrogen written by and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kohn variational method of calculating scattering phase shifts has been examined previously, and calculations of the phase shifts of S-wave electrons on atomic hydrogen done, by Schwartz. The paper presents the results of using a trial function somewhat simpler than Schwartz's and compares the two sets of results. In addition this paper presents and compares the results of two different normalizations of the variational principle and gives a somewhat more detailed development of the variational principle used than in most previous papers. (Author).

Download or read book A Variational Calculation of the Elastic Scattering of Electrons by Hydrogen Atoms written by Howard Boyet and published by . This book was released on 1953 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Low Energy Scattering by a Compound System written by Leonard Rosenberg and published by . This book was released on 1959 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Variational Calculation of the Elastic written by Howard Boyet and published by Forgotten Books. This book was released on 2015-08-05 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Variational Calculation of the Elastic: Scattering of Electrons, by Hydrogen Atoms One of the important problems of upper atmospheric and astrophysical research is the determination of the frequencies of collisions between electrons and atomic systems. Informa tion on this subject can be obtained from a knowledge of the total cross-section, Q, and to some extent from the differential cross-section, (hg), of the collision. The temperatures at which these collisions occur are of such a magnitude that the electron energies are of the order of a fraction of an electron volt, and at these low energies the problems associated with experimental determinations of the cross-sections become complex. Consequently there is a deficiency of experimental data. It is therefore essential to have theoretical methods for calculating the cross-sections. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book A Discrete Variable Representation for Electron hydrogen Atom Scattering written by Lionel Francis Gaucher and published by . This book was released on 1994 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonadiabatic Theory of Electron hydrogen Scattering written by Aaron Temkin and published by . This book was released on 1963 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NBS Special Publication written by and published by . This book was released on 1918 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Calculation of Electron Elastic Scattering by Atomic Helium written by Paul Joseph Chernek and published by . This book was released on 1982 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The elastic-scattering of electrons from atomic helium in the ground state is investigated. It is shown that for low energy incident electrons the scattering problem reduced to solving an ordinary integro-differential equation for the scattering wave-function. A method is discussed to obtain approximate solutions to the integro-differential equation by variational principles. The extremum condition of the variational method is formulated into a general N x N matrix equation which reduces to a 2 x 2 eigen-value matrix problem for the phase-shift of the scattering electron. An algorithm is presented to obtain the collisional cross-section for elastic scattering as a function of incident electron energy. (Author).

Download or read book Quantum Theory of Scattering written by Ta-you Wu and published by . This book was released on 1962 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: General theory of scattering of a particle by a central field -- Partial wave analysis -- Integral equation for scattering -- Born and other approximations -- Variational methods -- Slow collisions : theory of scattering length and effective range -- Appendices to section -- F.S. Matrix and bound states, virtual and decaying states -- Determination of V(r) from the scattering data -- Scattering of a particle by a non-central field -- Scattering by tensor and L*S potential : partial wave analysis -- Scattering by tensor and L*S fields : born approximation -- Polarization effects -- Nucleon-nucleon scattering -- Collision between composite particles -- Scattering of an electron by hydrogen atom -- Scattering involving rearrangements -- Scattering of a particle by a system of particles -- Time-dependent theory of scattering -- Methods of unitary operator and of Green's function -- Time-dependent theory of scattering : variational principles of Lippman and Schwinger -- Time-dependent theory of scattering : treatment of Gellman and Goldberger -- Time-dependent theory : method of spectral representation -- Mathematical theory of scattering operator -- Nuclear reactions -- Resonance reactions -- Optical model -- Deuteron stripping reaction and other direct processes -- Scattering matrix S and derivative matrix -- Scattering matrix S -- The R or derivative, matrix -- Dispersion relations -- Dispersion relation and causality in optics : observations of the Kronig and Kramers -- Dispersion relations : scattering by a potential.

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.

Download or read book Miscellaneous Publication National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1934 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: