Atomic Many-Body Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642966144
Total Pages : 483 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Atomic Many-Body Theory by : I. Lindgren

Download or read book Atomic Many-Body Theory written by I. Lindgren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has developed through a series of lectures on atomic theory given these last eight years at Chalmers University of Technology and several oth er research centers. These courses were intended to make the basic elements of atomic theory available to experimentalists working with the hyperfine structure and the optical properties of atoms and to provide some insight into recent developments in the theory. The original intention of this book has gradually extended to include a wide range of topics. We have tried to provide a complete description of atomic theory, bridging the gap between introductory books on quantum mechanics - such as the book by Merzbacher, for instance - and present day research in the field. Our presentation is limited to static atomic prop erties, such as the effective electron-electron interaction, but the formalism can be extended without major difficulties to include dynamic properties, such as transition probabilities and dynamic polarizabilities.

Many-Body Atomic Physics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521470064
Total Pages : 432 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Many-Body Atomic Physics by : J. J. Boyle

Download or read book Many-Body Atomic Physics written by J. J. Boyle and published by Cambridge University Press. This book was released on 1998-08-10 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the field of many-body atomic physics is suitable for researchers and graduate students. Drawing from three major subject areas, atomic structure, atomic photoionization, and electron-atom collisions, this book begins with an introduction to many-body diagrams, and continues with several chapters devoted to each subject area written by leading theorists in that field. Topics in atomic structure include the relativistic theory for highly charged atomic ions and calculations of parity nonconservation. Topics in atomic photoionization include single and double photoionization processes, and photoelectron angular distributions. Topics in electron-atom collisions include the theory of electron impact ionization, perturbation series methods, target dependence of the triply differential cross section, Thomas processes, R-matrix theory, close coupling, and distorted-wave theory. This coherent and carefully edited volume has been prepared by leading atomic physicists as a tribute to Hugh Kelly, one of the pioneers of many-body theory.

Many-Body Methods for Atoms, Molecules and Clusters

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Publisher : Springer
ISBN 13 : 3319936026
Total Pages : 330 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Many-Body Methods for Atoms, Molecules and Clusters by : Jochen Schirmer

Download or read book Many-Body Methods for Atoms, Molecules and Clusters written by Jochen Schirmer and published by Springer. This book was released on 2018-11-02 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to many-body methods for applications in quantum chemistry. These methods, originating in field-theory, offer an alternative to conventional quantum-chemical approaches to the treatment of the many-electron problem in molecules. Starting with a general introduction to the atomic and molecular many-electron problem, the book then develops a stringent formalism of field-theoretical many-body theory, culminating in the diagrammatic perturbation expansions of many-body Green's functions or propagators in terms of Feynman diagrams. It also introduces and analyzes practical computational methods, such as the field-tested algebraic-diagrammatic construction (ADC) schemes. The ADC concept can also be established via a wave-function based procedure, referred to as intermediate state representation (ISR), which bridges the gap between propagator and wave-function formulations. Based on the current rapid increase in computer power and the development of efficient computational methods, quantum chemistry has emerged as a potent theoretical tool for treating ever-larger molecules and problems of chemical and physical interest. Offering an introduction to many-body methods, this book appeals to advanced students interested in an alternative approach to the many-electron problem in molecules, and is suitable for any courses dealing with computational methods in quantum chemistry.

Introduction to Many-Body Physics

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Publisher : Cambridge University Press
ISBN 13 : 1316432025
Total Pages : 815 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Introduction to Many-Body Physics by : Piers Coleman

Download or read book Introduction to Many-Body Physics written by Piers Coleman and published by Cambridge University Press. This book was released on 2015-11-26 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.

The Nuclear Many-Body Problem

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540212065
Total Pages : 742 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis The Nuclear Many-Body Problem by : Peter Ring

Download or read book The Nuclear Many-Body Problem written by Peter Ring and published by Springer Science & Business Media. This book was released on 2004-03-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study Edition

Physics and Mathematics of Quantum Many-Body Systems

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Author :
Publisher : Springer Nature
ISBN 13 : 3030412652
Total Pages : 534 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Physics and Mathematics of Quantum Many-Body Systems by : Hal Tasaki

Download or read book Physics and Mathematics of Quantum Many-Body Systems written by Hal Tasaki and published by Springer Nature. This book was released on 2020-05-07 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

Quantum Many-Body Physics in a Nutshell

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Publisher : Princeton University Press
ISBN 13 : 0691175608
Total Pages : 306 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Quantum Many-Body Physics in a Nutshell by : Edward Shuryak

Download or read book Quantum Many-Body Physics in a Nutshell written by Edward Shuryak and published by Princeton University Press. This book was released on 2018-11-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates This book provides an essential introduction to the physics of quantum many-body systems, which are at the heart of atomic and nuclear physics, condensed matter, and particle physics. Unlike other textbooks on the subject, it covers topics across a broad range of physical fields—phenomena as well as theoretical tools—and does so in a simple and accessible way. Edward Shuryak begins with Feynman diagrams of the quantum and statistical mechanics of a particle; in these applications, the diagrams are easy to calculate and there are no divergencies. He discusses the renormalization group and illustrates its uses, and covers systems such as weakly and strongly coupled Bose and Fermi gases, electron gas, nuclear matter, and quark-gluon plasmas. Phenomena include Bose condensation and superfluidity. Shuryak also looks at Cooper pairing and superconductivity for electrons in metals, liquid 3He, nuclear matter, and quark-gluon plasma. A recurring topic throughout is topological matter, ranging from ensembles of quantized vortices in superfluids and superconductors to ensembles of colored (QCD) monopoles and instantons in the QCD vacuum. Proven in the classroom, Quantum Many-Body Physics in a Nutshell is the ideal textbook for a one-semester introductory course for graduate students or advanced undergraduates. Teaches students how quantum many-body systems work across many fields of physics Uses path integrals from the very beginning Features the easiest introduction to Feynman diagrams available Draws on the most recent findings, including trapped Fermi and Bose atomic gases Guides students from traditional systems, such as electron gas and nuclear matter, to more advanced ones, such as quark-gluon plasma and the QCD vacuum

The Quantum Mechanics of Many-Body Systems

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486493571
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Quantum Mechanics of Many-Body Systems by : D.J. Thouless

Download or read book The Quantum Mechanics of Many-Body Systems written by D.J. Thouless and published by Courier Corporation. This book was released on 2014-01-15 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.

Many-body Theory of Atomic Structure and Photoionization

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Publisher : World Scientific
ISBN 13 : 9789810208776
Total Pages : 434 pages
Book Rating : 4.2/5 (87 download)

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Book Synopsis Many-body Theory of Atomic Structure and Photoionization by : Tu-nan Chang

Download or read book Many-body Theory of Atomic Structure and Photoionization written by Tu-nan Chang and published by World Scientific. This book was released on 1993 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed discussions on many of the recent advances in the many-body theory of atomic structure are presented by the leading experts around the world on their respective specialized approaches. Emphasis is given to the photoionization dominated by the resonance structures, which reveals the effect of the multi-electron interaction in atomic transitions involving highly correlated atomic systems. Recent experimental developments, stimulated by the more advanced applications of intense lasers and short wavelength synchrotron radiation, are also reviewed. This book brings together a comprehensive theoretical and experimental survey of the current understanding of the basic physical processes involved in atomic processes.

Ultracold Atoms in Optical Lattices

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Publisher : Oxford University Press
ISBN 13 : 0199573123
Total Pages : 494 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Ultracold Atoms in Optical Lattices by : Maciej Lewenstein

Download or read book Ultracold Atoms in Optical Lattices written by Maciej Lewenstein and published by Oxford University Press. This book was released on 2012-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the physics of atoms frozen to ultralow temperatures and trapped in periodic light structures. It introduces the reader to the spectacular progress achieved on the field of ultracold gases and describes present and future challenges in condensed matter physics, high energy physics, and quantum computation.

Many-Body Methods for Atoms and Molecules

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Author :
Publisher : CRC Press
ISBN 13 : 1315356333
Total Pages : 161 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Many-Body Methods for Atoms and Molecules by : Rajat Kumar Chaudhuri

Download or read book Many-Body Methods for Atoms and Molecules written by Rajat Kumar Chaudhuri and published by CRC Press. This book was released on 2017-02-17 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings Readers from the Threshold to the Frontier of Modern Research Many-Body Methods for Atoms and Molecules addresses two major classes of theories of electron correlation: the many-body perturbation theory and coupled cluster methods. It discusses the issues related to the formal development and consequent numerical implementation of the methods from the standpoint of a practicing theoretician. The book will enable readers to understand the future development of state-of-the-art multi-reference coupled cluster methods as well as their perturbative counterparts. The book begins with an introduction to the issues relevant to the development of correlated methods in general. It next gives a formally rigorous treatment of aspects that pave the foundation toward the theoretical development of methods capable of tackling problems of electronic correlation. The authors go on to cover perturbation theory first in a fundamental way and then in the multi-reference context. They also describe the idea of state-specific theories, Fock space-based multi-reference coupled cluster methods, and basic issues of the single-reference coupled cluster method. The book concludes with state-of-the-art methods of modern electronic structure.

Fundamentals of Many-body Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 354071930X
Total Pages : 607 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Fundamentals of Many-body Physics by : Wolfgang Nolting

Download or read book Fundamentals of Many-body Physics written by Wolfgang Nolting and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the present course on “Fundamentals of Theoretical Physics” is to be a direct accompaniment to the lower-division study of physics, and it aims at providing the ph- ical tools in the most straightforward and compact form as needed by the students in order to master theoretically more complex topics and problems in advanced studies and in research. The presentation is thus intentionally designed to be suf?ciently detailed and self-contained – sometimes, admittedly, at the cost of a certain elegance – to permit in- vidual study without reference to the secondary literature. This volume deals with the quantum theory of many-body systems. Building upon a basic knowledge of quantum mechanics and of statistical physics, modern techniques for the description of interacting many-particle systems are developed and applied to various real problems, mainly from the area of solid-state physics. A thorough revision should guarantee that the reader can access the relevant research literature without experiencing major problems in terms of the concepts and vocabulary, techniques and deductive methods found there. The world which surrounds us consists of very many particles interacting with one another, and their description requires in principle the solution of a corresponding number ofcoupledquantum-mechanicalequationsofmotion(Schrodinger ̈ equations),which,h- ever, is possible only in exceptional cases in a mathematically strict sense. The concepts of elementary quantum mechanics and quantum statistics are therefore not directly applicable in the form in which we have thus far encountered them. They require an extension and restructuring, which is termed “many-body theory”.

Ultracold Atomic Physics

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Publisher : Cambridge University Press
ISBN 13 : 110849868X
Total Pages : 311 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Ultracold Atomic Physics by : Hui Zhai

Download or read book Ultracold Atomic Physics written by Hui Zhai and published by Cambridge University Press. This book was released on 2021-02-25 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to ultracold atomic physics combining fundamental theory with discussion of cold atom phenomena and applications.

Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813101318
Total Pages : 851 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition) by : Willem Hendrik Dickhoff

Download or read book Many-body Theory Exposed! Propagator Description Of Quantum Mechanics In Many-body Systems (2nd Edition) written by Willem Hendrik Dickhoff and published by World Scientific Publishing Company. This book was released on 2008-05-02 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model.The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose-Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.

Many-Body Methods in Chemistry and Physics

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Publisher : Cambridge University Press
ISBN 13 : 052181832X
Total Pages : 547 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Many-Body Methods in Chemistry and Physics by : Isaiah Shavitt

Download or read book Many-Body Methods in Chemistry and Physics written by Isaiah Shavitt and published by Cambridge University Press. This book was released on 2009-08-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the mathematical and diagrammatic techniques employed in the popular many-body methods to determine molecular structure, properties and interactions.

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

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Author :
Publisher : Springer Nature
ISBN 13 : 9811525803
Total Pages : 228 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations by : Yuto Ashida

Download or read book Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations written by Yuto Ashida and published by Springer Nature. This book was released on 2020-01-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Quantum Many-Body Physics

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Author :
Publisher : Springer
ISBN 13 : 9784431553922
Total Pages : 261 pages
Book Rating : 4.5/5 (539 download)

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Book Synopsis Quantum Many-Body Physics by : Yoshio Kuramoto

Download or read book Quantum Many-Body Physics written by Yoshio Kuramoto and published by Springer. This book was released on 2020-02-05 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions. The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest examples—hydrogen and oxygen molecules—based on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT). The book is based on the author’s long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.