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Collective Modes in an Inhomogeneous Electron Gas (Classic Reprint)
Author: Joyce Newman
Publisher:
Published: 2015-08-04
Total Pages: 174
ISBN-13: 9781332114245
DOWNLOAD EBOOK →Excerpt from Collective Modes in an Inhomogeneous Electron Gas VI. The Solution for a Dense Electron Gas in an External Potential - Method I; 1. The Solution Expressed in Terms of a Green's Function; 2. Evaluation of the Green's Function; VII. The Solution for a Dense Electron Gas in an External Potential - Method II; 1. An Approximation for the Modified Interaction for a Slowly Varying External Potential; 2. A Sample Term of the Solution Expressed as a Many Dimensional Integral; 3. A Variational Principle is Introduced to Simplify the Integration; 4. The Sample Term of the Solution is Reduced to a Two Dimensional Integral; 5. The Complete General Solution Expressed as a Two Dimensional Integral; 6. This Method Applied to a Uniform Electron Gas - The Solution for a Uniform Electron Gas Expressed as a Two Dimensional Integral; 7. The Limit of the General Solution when the External Potential Goes to Zero; 8. a. The Remaining Integrations for the Uniform Gas Approximated by the Method of Steepest Descent; b. The Error Introduced by this Approximation 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.
Collective Modes in an Inhomogeneous Electron Gas
Theory of the Inhomogeneous Electron Gas
Author: Stig Lundqvist
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 405
ISBN-13: 1489904158
DOWNLOAD EBOOK →The theory of the inhomogeneous electron gas had its origin in the Thomas Fermi statistical theory, which is discussed in the first chapter of this book. This already leads to significant physical results for the binding energies of atomic ions, though because it leaves out shell structure the results of such a theory cannot reflect the richness of the Periodic Table. Therefore, for a long time, the earlier method proposed by Hartree, in which each electron is assigned its own personal wave function and energy, dominated atomic theory. The extension of the Hartree theory by Fock, to include exchange, had its parallel in the density description when Dirac showed how to incorporate exchange in the Thomas-Fermi theory. Considerably later, in 1951, Slater, in an important paper, showed how a result similar to but not identical with that of Dirac followed as a simplification of the Hartree-Fock method. It was Gombas and other workers who recognized that one could also incorporate electron correlation consistently into the Thomas-Fermi-Dirac theory by using uniform electron gas relations locally, and progress had been made along all these avenues by the 1950s.
Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas
Author: John William Gadzuk
Publisher:
Published: 1968
Total Pages: 100
ISBN-13:
DOWNLOAD EBOOK →The case of an inhomogeneous electron gas within which the density variation is significant over a spatial range of the order of a Fermi wave-length is considered in this report. It is seen that for most systems of physical interest, this sort of non-uniformity is a result of diffraction effects. This is a fundamentally different phenomenon than can reasonably be treated by the density gradient method of Kohn for slowly varying inhomogeneous electron gases. Several sample cases are treated. The first considerations are directed towards the problem of a weak periodic potential in an interacting electron gas. The momentum-dependent self-energy is calculated for an electron propagating in the many-body medium of an electron gas plus a periodic lattice pseudo-potential. This is the equivalent of a quasi-particle energy spectrum and thus an orthogonalized plane wave energy band. It does not appear that the lattice drastically changes qualitative aspects of plane wave many-body theory. A dielectric formulation for a general inhomogeneous electron gas is presented. By introducing a new image technique, the dielectric function within the random phase approximation, which is valid in the surface region of an electron gas, is obtained. A Green's function formalism is developed for treating the static dielectric screening of a point impurity in an electron gas. The surface dielectric function is used with the impurity screening formalism to treat the problem of impurity screening in the surface region. This is an idealized model of ionic adsorption on metal surface. Screening charge densities resulting from volume polarization effects are calculated. From these results, it is seen why unjustifiable application of classical image forces in previous adsorption theories has fortunately produced reasonable results. A new method for obtaining the appropriate plasmon contribution to the electron self-energy in the surface region is developed. With these results, the electron gas surface potentials calculated by Loucks and Cutler are then improved.
Nuclear Science Abstracts
Author:
Publisher:
Published: 1975
Total Pages: 900
ISBN-13:
DOWNLOAD EBOOK →NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
Elementary Excitations in Solids, Molecules, and Atoms
Author: Jozef T. Devreese
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 379
ISBN-13: 1468428209
DOWNLOAD EBOOK →The Advanced Study Institute on 'Elementary Excitations in Solids, Molecules, and Atoms' was held at the University of Antwerp (U.I.A.) from June 18th till June 30th 1973. The In stitute was sponsored by NATO. Co-sponsors were: Agfa-Gevaert N.V. (Mortsel - Belgium), Bell Telephone Mfg. Co. (Antwerp Belgium), the National Science Foundation (Washington D.C. - U.S.A.) and the University of Antwerp (U.I.A.). A total of 120 lecturers and participants attended the Institute. Over the last few years, substantial progress has been made in the description of the elementary excitations of the elec tronic and vibrational systems and their interactions. Parallel with this, the experimentalists have obtained outstanding re sults, partly as a result of availability of coherent light sour ces from the far infrared through the visible region, and partly because of the availability of synchrotron radiation sources in the soft X-ray region. The results of today will lead to fur ther progress over the next years. It was the purpose of this NATO Advanced Study Institute to present astate of the art, namely a survey of experiment and theory.
Strongly Coupled Plasma Physics
Author: Forrest J. Rogers
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 586
ISBN-13: 1461318912
DOWNLOAD EBOOK →A NATO Advanced Research Workshop on Strongly Coupled Plasma Physics was held on the Santa Cruz Campus of the University of California, from August 4 through August 9, 1986. It was attended by 80 participants from 13 countries, 45 of whom were invited speakers. The present volume contains the texts of the invited talks and many of the contributed papers. The relative length of each text is roughly proportional to the length of the workshop presentation. The aim of the workshop was to bring together leading researchers from a number of related disciplines in which strong Coulomb interactions play a dominant role. Compared to the 1977 meeting in Orleans-la-Source, France and the 1982 meeting in Les-Houches, France, it is apparent that the field of strongly coupled plasmas has expanded greatly and has become a very significant field of physics with a wide range of applications. This workshop had a far greater participation of experimental researchers than did the previous two, and some confrontations of real experiments with theoretical calculations occurred. In the two earlier meetings the theoretical presentations were dominated by numerical simulations of static and dynamic properties of various strongly coupled plasmas. The dearth of experiments in the 1970's is now replaced by some very good experimental efforts.
Nuclear Science Abstracts
Scientific and Technical Aerospace Reports
Author:
Publisher:
Published: 1970
Total Pages: 574
ISBN-13:
DOWNLOAD EBOOK →Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
