Short-range and Long-range Electron Correlation in Matter PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Short-range and Long-range Electron Correlation in Matter PDF full book. Access full book title Short-range and Long-range Electron Correlation in Matter by David Gerard Prendergast. Download full books in PDF and EPUB format.
Author: David Gerard Prendergast Publisher: ISBN: Category : Electrons Languages : en Pages : 134
Book Description
Short- and long-range electron correlations is investigated using new forms of correlated electron trial wave functions in quantum Monte Carlo calculations. The goal of this thesis is to develop new computational methods which enable the determination of the optimal electron correlation factor in a numerical trial wave function such that the expectation value of the system Hamiltonian, i.e., the total energy, is minimized. The effect of the electron-electron cusp on the convergence of configuration interaction (CI) wave functions is examined. By analogy with the pseudopotential approach for electron-ion interactions, an effective electron-electron interaction is developed which closely reproduces the scattering of the Coulomb interaction but is smooth and finite at zero electron-electron separation. The exact many-electron wave function for this smooth effective interaction has no cusp at zero electron-electron separation. We perform CI and quantum Monte Carlo calculations for He and Be atoms, both with the Coulomb electron-electron interaction and with the smooth effective electron-electron interaction. We find that convergence of the CI expansion of the wave function for the smooth electron-electron interaction is not significantly improved compared with that for the divergent Coulomb interaction for energy differences on the order of 1 mHartree. This shows that, contrary to popular belief, description of the electron-electron cusp is not a limiting factor, to within chemical accuracy, for CI calculations.
Author: David Gerard Prendergast Publisher: ISBN: Category : Electrons Languages : en Pages : 134
Book Description
Short- and long-range electron correlations is investigated using new forms of correlated electron trial wave functions in quantum Monte Carlo calculations. The goal of this thesis is to develop new computational methods which enable the determination of the optimal electron correlation factor in a numerical trial wave function such that the expectation value of the system Hamiltonian, i.e., the total energy, is minimized. The effect of the electron-electron cusp on the convergence of configuration interaction (CI) wave functions is examined. By analogy with the pseudopotential approach for electron-ion interactions, an effective electron-electron interaction is developed which closely reproduces the scattering of the Coulomb interaction but is smooth and finite at zero electron-electron separation. The exact many-electron wave function for this smooth effective interaction has no cusp at zero electron-electron separation. We perform CI and quantum Monte Carlo calculations for He and Be atoms, both with the Coulomb electron-electron interaction and with the smooth effective electron-electron interaction. We find that convergence of the CI expansion of the wave function for the smooth electron-electron interaction is not significantly improved compared with that for the divergent Coulomb interaction for energy differences on the order of 1 mHartree. This shows that, contrary to popular belief, description of the electron-electron cusp is not a limiting factor, to within chemical accuracy, for CI calculations.
Author: Peter Fulde Publisher: World Scientific ISBN: 9814397229 Category : Science Languages : en Pages : 550
Book Description
An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.
Author: A.A. Katsnelson Publisher: Springer Science & Business Media ISBN: 9780883188651 Category : Science Languages : en Pages : 220
Book Description
"Blurb & Contents" This current and comprehensive treatment of the physics of small- amplitude waves in hot magnetized plasmas provides a thorough update of the author's classic Theory of Plasma Waves. New topics include quasi-linear theory, inhomogeneous plasmas, collisions, absolute and convective instability, and mode conversion. Valuable for graduates and advanced undergraduates and an indispensable reference work for researchers in plasmas, controlled fusion, and space science.
Author: Alex C. Hewson Publisher: Springer Science & Business Media ISBN: 9401002134 Category : Science Languages : en Pages : 364
Book Description
The NATO sponsored Advanced Research Workshop on "Concepts in Electron Correlation" took place on the Croatian island of Hvar during the period from the 29th of September to the 3rd of October, 2002. The topic of electron correlation is a fundamental one in the field of condensed matter, and one that is being very actively studied both experimentally and theoretically at the present time. The manifestations of electron cor relation are diverse, and play an important role in systems ranging from high temperature superconductors, heavy fermions, manganite compounds with colossal magnetoresistance, transition metal compounds with metal insulator transitions, to mesoscopic systems and quantum dots. The aim of the workshop was to provide an opportunity for a dialogue between exper imentalists and theoreticians to assess the current state of understanding, and to set an agenda for future work. There was also a follow-up workshop on the same topic where the presentations included more background and introductory material for younger researchers in the field. The papers presented in these proceedings clearly demonstrate the di versity of current research on electron correlation. They show that real progress is being made in characterising systems experimentally and in developing theoretical approaches for a quantitative comparison with ex periment. The more one learns, however, the more there is to understand, and many of the contributions help to map out the territory which has yet to be explored. We hope that the articles in this volume will be a stimulus for such future work.
Author: Elliott H. Lieb Publisher: Springer Science & Business Media ISBN: 3662063905 Category : Science Languages : en Pages : 645
Book Description
This is the third Selecta of publications of Elliott Lieb, the first two being Stabil ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai. A companion fourth Selecta on Statistical Mechanics is also edited by us. Elliott Lieb has been a pioneer of the discipline of mathematical physics as it is nowadays understood and continues to lead several of its most active directions today. For the first part of this selecta we have made a selection of Lieb's works on Condensed Matter Physics. The impact of Lieb's work in mathematical con densed matter physics is unrivaled. It is fair to say that if one were to name a founding father of the field, Elliott Lieb would be the only candidate to claim this singular position. While in related fields, such as Statistical Mechanics and Atomic Physics, many key problems are readily formulated in unambiguous mathematical form, this is less so in Condensed Matter Physics, where some say that rigor is "probably impossible and certainly unnecessary". By carefully select ing the most important questions and formulating them as well-defined mathemat ical problems, and then solving a good number of them, Lieb has demonstrated the quoted opinion to be erroneous on both counts. What is true, however, is that many of these problems turn out to be very hard. It is not unusual that they take a decade (even several decades) to solve.
Author: S. Fantoni Publisher: Springer Science & Business Media ISBN: 1461536863 Category : Science Languages : en Pages : 446
Book Description
The XIV International Workshop on Condensed Matter Theories has been held at the Elba International Physics Center (EIPC), Marciana Marina, Isola d'Elba, Italy, from 18-23 June, 1990. The Workshop started in 1977 in Sao Paolo, Brazil, as the 1st Pan American Workshop on Condensed Matter Theories, with the purpose of bringing together scientists from the Western countries, working in many different topics of Condensed Matter Theories, to facilitate exchanges of ideas and technologies from different areas as well as collaborations among the scientists. The next five Workshops were held at Trieste, Italy (1978), in Buenos Aires, Argentina ( 1979), in Caracas, Venezuela (1980), in Mexico City, Mexico (1981) and in St. Louis, Missouri, U. S. A. (1982). Given the international dimension reached by the Workshop, it was decided to extend it into an International Workshop, which was held for the first time in Altenberg, Germany (1983). The next editions took place in Granada, Spain (1984), San Francisco, California, U. S. A. (1985), Argonne, Illinois, U. S. A. (1986), Oulu, Finland (1987), Taxco, Mexico (1988) and Campos do Jordao, Brasil (1989). Many scientists have contributed to the development of the various editions of the Work shop. However, a particular mention has to be made to Profs. Manuel de Llano and Angel Plastino who initially proposed the Workshop and carried it forward, and to Prof. J . W. Clark, whose efforts have been of immense help to its recent developments.
Author: Anand K. Bhatia Publisher: MDPI ISBN: 303943795X Category : Mathematics Languages : en Pages : 126
Book Description
Positrons can be used to study metallic defects. Positron annihilation experiments have been carried out to identify the defects in complex oxides. Positrons have also been used to study the Bose–Einstein condensation (BEC). Ps-BEC can be used to measure antigravity using atomic interferometers. This Special Issue hopes to bring awareness of the various aspects of positron interactions to the larger physics communities. We invite authors to submit articles from all areas of physics.
Author: Virulh Sa-yakanit Publisher: World Scientific ISBN: 9812836624 Category : Science Languages : en Pages : 499
Book Description
The Thirty-First International Workshop on Condensed Matter Theories (CMT31) held in Bangkok focused on the many roles played by ab initio theory, modeling, and high-performance computing in condensed matter and materials science, providing a forum for the discussion of recent advances and exploration of new problems. Fifty-six invited papers were presented, of which 38 appear as chapters in this volume. Reports of recent results generated lively debate on two-dimensional electron systems, the metal-insulator transition, dilute magnetic semiconductors, effects of disorder, magnetoresistence phenomena, ferromagnetic stripes, quantum Hall systems, strongly correlated Fermi systems, superconductivity, dilute fermionic and bosonic gases, nanostructured materials, plasma instabilities, quantum fluid mixtures, and helium in reduced geometries.
Author: Hooshang Nikjoo Publisher: Taylor & Francis ISBN: 1466509600 Category : Medical Languages : en Pages : 364
Book Description
Interaction of Radiation with Matter focuses on the physics of the interactions of ionizing radiation in living matter and the Monte Carlo simulation of radiation tracks. Clearly progressing from an elementary level to the state of the art, the text explores the classical physics of track description as well as modern aspects based on condensed mat
Author: David Gerard Prendergast
Author: David Gerard Prendergast
Author: Peter Fulde
Author: J.V. Acrivos
Author: A.A. Katsnelson
Author: Alex C. Hewson
Author: Elliott H. Lieb
Author: S. Fantoni
Author: Anand K. Bhatia
Author: Virulh Sa-yakanit
Author: Hooshang Nikjoo