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Author : Feliks Aleksandrovich Berezin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (844 download)
Download or read book The method of second quantization, tr written by Feliks Aleksandrovich Berezin and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F.A. Berazin
Publisher : Elsevier
ISBN 13 : 0323159400
Total Pages : 241 pages
Book Rating : 4.3/5 (231 download)
Download or read book The Method of Second Quantization written by F.A. Berazin and published by Elsevier. This book was released on 2012-12-02 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Method of Second Quantization deals with the method of second quantization and its use to solve problems of quantum mechanics involving an indefinite number of particles, mainly in field theory and quantum statistics. Topics covered include operations on generating functionals; linear canonical transformations; quadratic operators; and Thirring's four-fermion model. State spaces and the simplest operators are also described. This book is comprised of four chapters and begins with an overview of the method of second quantization and the relevant notations. The first chapter focuses on the connections between vectors and functionals and between operators and functionals, together with fundamental rules for operating on functionals. The reader is then introduced to the so-called quadratic operators and the linear canonical transformations closely connected with them. Quadratic operators reduced and not reduced to normal form are considered. The final chapter discusses the Thirring model, the simplest relativistically invariant model in quantum field theory, and explains why it includes infinities. This monograph will be of value to students and practitioners of mathematical physics.
Author : Poul Joergensen
Publisher : Elsevier
ISBN 13 : 0323141099
Total Pages : 185 pages
Book Rating : 4.3/5 (231 download)
Download or read book Second Quantization-Based Methods in Quantum Chemistry written by Poul Joergensen and published by Elsevier. This book was released on 2012-12-02 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Quantization-Based Methods in Quantum Chemistry presents several modern quantum chemical tools that are being applied to electronic states of atoms and molecules. Organized into six chapters, the book emphasizes the quantum chemical methods whose developments and implementations have been presented in the language of second quantization. The opening chapter of the book examines the representation of the electronic Hamiltonian, other quantum-mechanical operators, and state vectors in the second-quantization language. This chapter also describes the unitary transformations among orthonormal orbitals in an especially convenient manner. In subsequent chapters, various tools of second quantization are used to describe many approximation techniques, such as Hartree-Fock, perturbation theory, configuration interaction, multiconfigurational Hartree-Fock, cluster methods, and Green's function. This book is an invaluable source for researchers in quantum chemistry and for graduate-level students who have already taken introductory courses that cover the fundamentals of quantum mechanics through the Hartree-Fock method as applied to atoms and molecules.
Author : Daniel J. Weintraub
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book The Method of Second Quantization written by Daniel J. Weintraub and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.0/5 ( download)
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter R. Surjan
Publisher : Springer Science & Business Media
ISBN 13 : 3642747558
Total Pages : 197 pages
Book Rating : 4.6/5 (427 download)
Download or read book Second Quantized Approach to Quantum Chemistry written by Peter R. Surjan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a simple, short, and elementary introduction to the second quantized formalism as applied to a many-electron system. It is intended for those, mainly chemists, who are familiar with traditional quantum chemistry but have not yet become acquainted with second quantization. The treatment is, in part, based on a series of seminars held by the author on the subject. It has been realized that many quantum chemists either interested in theory or in applications, being educated as chemi~ts and not as physicists, have never devoted themselves to taking a course on the second quantized approach. Most available textbooks on this topic are not very easy to follow for those who are not trained in theory, or they are not detailed enough to offer a comprehensive treatment. At the same time there are several papers in quantum chemical literature which take advantage of using second quantization, and it would be worthwhile if those papers were accessible for a wider reading public. For this reason, it is intended in this survey to review the basic formalism of second quantization, and to treat some selected chapters of quantum chemistry in this language. Most derivations will be carried out in a detailed manner, so the reader need not accept gaps to understand the result.
Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)
Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
Author : Poul Jørgensen
Publisher : Academic Press
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (44 download)
Download or read book Second Quantization-Based Methods in Quantum Chemistry written by Poul Jørgensen and published by Academic Press. This book was released on 1981-12-28 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Quantization-Based Methods in Quantum Chemistry presents several modern quantum chemical tools that are being applied to electronic states of atoms and molecules. Organized into six chapters, the book emphasizes the quantum chemical methods whose developments and implementations have been presented in the language of second quantization. The opening chapter of the book examines the representation of the electronic Hamiltonian, other quantum-mechanical operators, and state vectors in the second-quantization language. This chapter also describes the unitary transformations among orthonormal orbitals in an especially convenient manner. In subsequent chapters, various tools of second quantization are used to describe many approximation techniques, such as Hartree-Fock, perturbation theory, configuration interaction, multiconfigurational Hartree-Fock, cluster methods, and Green's function. This book is an invaluable source for researchers in quantum chemistry and for graduate-level students who have already taken introductory courses that cover the fundamentals of quantum mechanics through the Hartree-Fock method as applied to atoms and molecules.
Author : Jaime Merino
Publisher : Springer Nature
ISBN 13 : 3031551435
Total Pages : 219 pages
Book Rating : 4.0/5 (315 download)
Download or read book Many-Body Techniques in Condensed Matter Physics written by Jaime Merino and published by Springer Nature. This book was released on with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergio Albeverio
Publisher : World Scientific
ISBN 13 : 9789810244408
Total Pages : 466 pages
Book Rating : 4.2/5 (444 download)
Download or read book Mathematical Physics and Stochastic Analysis written by Sergio Albeverio and published by World Scientific. This book was released on 2000 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: In October 1998 a conference was held in Lisbon to celebrate Ludwig Streit's 60th birthday. This book collects some of the papers presented at the conference as well as other essays contributed by the many friends and collaborators who wanted to honor Ludwig Streit's scientific career and personality.The contributions cover many aspects of contemporary mathematical physics. Of particular importance are new results on infinite-dimensional stochastic analysis and its applications to a wide range of physical domains.List of Contributors: S Albeverio, T Hida, L Accardi, I Ya Aref'eva, I V Volovich; A Daletskii, Y Kondratiev, W Karwowski, N Asai, I Kubo, H-H Kuo, J Beckers, Ph Blanchard, G F Dell'Antonio, D Gandolfo, M Sirugue-Collin, A Bohm, H Kaldass, D Boll, G Jongen, G M Shim, J Bornales, C C Bernido, M V Carpio-Bernido, G Burdet, Ph Combe, H Nencka, P Cartier, C DeWitt-Morette, H Ezawa, K Nakamura, K Watanabe, Y Yamanaka, R Figari, F Gesztesy, H Holden, R Gielerak, G A Goldin, Z Haba, M-O Hongler, Y Hu, B Oksendal, A Sulem, J R Klauder, C B Lang, V I Man'ko, H Ouerdiane, J Potthoff, E Smajlovic, M Rckner, E Scacciatelli, J L Silva, J Stochel, F H Szafraniec, L V zquez, D N Kozakevich, S Jimnez, V R Vieira, P D Sacramento, R Vilela Mendes, D Voln?, P Samek.
Author : Petr Cársky
Publisher : Springer Science & Business Media
ISBN 13 : 9048128854
Total Pages : 672 pages
Book Rating : 4.0/5 (481 download)
Download or read book Recent Progress in Coupled Cluster Methods written by Petr Cársky and published by Springer Science & Business Media. This book was released on 2010-07-03 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: I feel very honored that I have been asked to write a Foreword to this book. The subject of the book – “Coupled cluster theory” – has been around for about half a century. The basic theory and explicit equations for closed-shell ground states were formulated before 1970. At the beginning of the seventies the rst ab initio calcu- tion were carried out. At that time speed and memory of computers were very limited compared to today’s standards. Moreover, the size of one-electron bases employed was small, so that it was only possible to achieve an orientation in methodical aspects rather than to generate new signi cant results. Extensive use of the coupled-cluster method started at the beginning of the eighties. With the help of more powerful computers the results of coupled-cluster approaches started to yield more and more interesting results of relevance to the interpretation of experimental data. New ideas in methodology kept appearing and computer codes became more and more ef cient. This exciting situation continues to this very day. Remarkably enough, even the - quired equations can now be generated by a computer with the help of symbolic languages. The size of this monograph and the rich variety of articles it contains attests to the usefulness and viability of the couple-cluster formalism for the h- dling of many-electron correlation effects. This represents a vivid testimony of a tremendous work that has been accomplished in coupled-cluster methodology and its exploitation.
Author :
Publisher :
ISBN 13 :
Total Pages : 938 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 992 pages
Book Rating : 4.0/5 ( download)
Download or read book Official Gazette of the United States Patent and Trademark Office written by and published by . This book was released on 1997 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Erickson
Publisher : Springer Science & Business Media
ISBN 13 : 9401090548
Total Pages : 432 pages
Book Rating : 4.4/5 (1 download)
Download or read book Maximum-Entropy and Bayesian Methods in Science and Engineering written by G. Erickson and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has its origin in the Fifth, Sixth and Seventh Workshops on "Maximum-Entropy and Bayesian Methods in Applied Statistics", held at the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987. It was anticipated that the proceedings of these workshops would be combined, so most of the papers were not collected until after the seventh workshop. Because most of the papers in this volume are in the nature of advancing theory or solving specific problems, as opposed to status reports, it is believed that the contents of this volume will be of lasting interest to the Bayesian community. The workshop was organized to bring together researchers from different fields to critically examine maximum-entropy and Bayesian methods in science and engineering as well as other disciplines. Some of the papers were chosen specifically to kindle interest in new areas that may offer new tools or insight to the reader or to stimulate work on pressing problems that appear to be ideally suited to the maximum-entropy or Bayesian method. These workshops and their proceedings could not have been brought to their final form without the support or help of a number of people.
Author : Walter E. Bron
Publisher : Springer Science & Business Media
ISBN 13 : 1461529549
Total Pages : 398 pages
Book Rating : 4.4/5 (615 download)
Download or read book Ultrashort Processes in Condensed Matter written by Walter E. Bron and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advanced Study Institute (AS!) considered a number offacets of the very rapidly advancing field of theoretical and experimental aspects of ultrashort processes in condensed matter. Common threads exist between a series of example cases. One major subgroup of topics involves the ultrashort dynamics of excitations of various "particles" produced through the interactions of condensed matter with ultrashort duration laser light. Examples ofthe excitations include electronic and hole carriers, electron-hole plasma, phonons, vibrons and rotons, two phonon states, and excitons. Experimentation on the dynamics of such excitations, are carried out in the bulk, at surfaces, in thin films, and in quantum wells. The dynamical steps which the excitations usually undergo include photo-excitation, local thermalization, particle-particle interaction, particle phonon interactions and eventual return to true thermal equilibrium. This ASI was organized to benefit particularly advanced graduate students, specifically, those near the end of their Ph.D. thesis projects, and also for postdoctoral scholars already active in the field. The overall organizational goal was centered around a set oftutorially based lectures intermingled with full scale discussion periods of equal time and importance as the lectures. The general discussion periods were designed to offer to the participants ample time to ask detailed questions and to make comments and contributions of their own. In order to complete the involvement of the participants a full length poster session was also held. A representative set of abstracts of these posters appear as an Appendix to the lectures.
Author : D. P. Landau
Publisher : Springer Science & Business Media
ISBN 13 : 3642596894
Total Pages : 238 pages
Book Rating : 4.6/5 (425 download)
Download or read book Computer Simulation Studies in Condensed-Matter Physics XII written by D. P. Landau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than a decade ago, because of the phenomenal growth in the power of computer simulations, The University of Georgia formed the first institutional unit devoted to the use of simulations in research and teaching: The Center for Simulational Physics. As the simulations community expanded further, we sensed a need for a meeting place for both experienced simulators and neophytes to discuss new techniques and recent results in an environment which promoted extended discussion. As a consequence, the Center for Sim ulational Physics established an annual workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics. This year's workshop was the twelfth in this series. It was held at The University of Geor gia, March 8-12, 1999 as an unofficial satellite conference to the Centennial Meeting of the American Physical Society in Atlanta, GA. The continued interest shown by the scientific community demonstrates quite clearly the useful purpose which the series has served. These proceedings provide a "sta tus report" on a number of important topics. This volume is published with the goal of timely dissemination of the material to a wider audience. We wish to offer special thanks to IBM Corporation for their generous support of this year's workshop. This volume contains both invited papers and contributed presentations on problems in both classical and quantum condensed matter physics. We hope that each reader will benefit from specialized results as well as profit from exposure to new algorithms, methods of analysis, and conceptual devel opments.
Author : Vladimir G Ivancevic
Publisher : World Scientific
ISBN 13 : 9813230401
Total Pages : 432 pages
Book Rating : 4.8/5 (132 download)
Download or read book Mathematics Of Autonomy: Mathematical Methods For Cyber-physical-cognitive Systems written by Vladimir G Ivancevic and published by World Scientific. This book was released on 2017-10-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Autonomy provides solid mathematical foundations for building useful Autonomous Systems. It clarifies what makes a system autonomous rather than simply automated, and reveals the inherent limitations of systems currently incorrectly labeled as autonomous in reference to the specific and strong uncertainty that characterizes the environments they operate in. Such complex real-world environments demand truly autonomous solutions to provide the flexibility and robustness needed to operate well within them.This volume embraces hybrid solutions to demonstrate extending the classes of uncertainty autonomous systems can handle. In particular, it combines physical-autonomy (robots), cyber-autonomy (agents) and cognitive-autonomy (cyber and embodied cognition) to produce a rigorous subset of trusted autonomy: Cyber-Physical-Cognitive autonomy (CPC-autonomy).The body of the book alternates between underlying theory and applications of CPC-autonomy including 'Autonomous Supervision of a Swarm of Robots' , 'Using Wind Turbulence against a Swarm of UAVs' and 'Unique Super-Dynamics for All Kinds of Robots (UAVs, UGVs, UUVs and USVs)' to illustrate how to effectively construct Autonomous Systems using this model. It avoids the wishful thinking that characterizes much discussion related to autonomy, discussing the hard limits and challenges of real autonomous systems. In so doing, it clarifies where more work is needed, and also provides a rigorous set of tools to tackle some of the problem space.
