Many-body Theory of Molecules, Clusters, and Condensed Phases
Many-body Theory of Molecules, Clusters, and Condensed Phases

Author: Norman Henry March

Publisher: World Scientific

Published: 2010

Total Pages: 913

ISBN-13: 9814271780

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This book provides a comprehensive review of seminal as well as recent results in the theory of condensed phases, including liquid metals, quantum liquids and Wigner crystals, along with selected applications, especially in the physical chemistry of molecules and clusters. A large part of this work is dedicated to the Thomas-Fermi semiclassical approximation for molecules and condensed phases, and its extension to inhomogeneous electron liquids and liquid metals. Correlation effects in quantum liquids and Wigner crystallization are other areas of focus of this work, with an emphasis towards the effect of low dimensionality and magnetic fields. The volume is a collection of reprints by N H March and collaborators over five decades. Sample Chapter(s). Chapter 1: Kinetic and Potential Energies of an Electron Gas (761 KB). Contents: Quantal Electron Crystals; Structure, Forces and Electronic Correlation Functions in Liquid Metals: Nuclear Structure Factor and Pair Potentials in Some sp Liquid Metals; Electronic Correlation Functions in Liquid Metals; One-Body Potential Theory of Molecules and Condensed Matter: ThomasOCoFermi Semiclassical Approximation; Transcending ThomasOCoFermi Theory; Applications of One-Body Potential Theory: Local and Non-local. Readership: Graduate students, researchers and academics in theoretical physics; condensed matter theorists and quantum chemists."

Electron Correlation in Molecules and Condensed Phases
Electron Correlation in Molecules and Condensed Phases

Author: Norman H. March

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 404

ISBN-13: 148991370X

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This book had its origins in lectures presented at EPFL, Lausanne, during two separate visits (the most recent being to IRRMA). The author is most grateful to Professors A. Baldereschi, R. Car, and A. Quattropani for making these visits possible, and for the splendidly stimulating environment provided. Professors S. Baroni and R. Resta also influenced considerably the presentation of material by constructive help and comments. Most importantly, Chapters 4 and 5 were originally prepared for a review article by Professor G. Senatore, then at Pavia and now in Trieste, and myself for Reviews of Modem Physics (1994). In the 'course of this collaboration, he has taught me a great deal, especially about quantum Monte Carlo procedures, and Chapter 5 is based directly on this review article. Also in Chapter 4, my original draft on Gutzwiller's method has been transformed by his deeper understanding; again this is reflected directly in Chapter 4; especially in the earlier sections. In addition to the above background, it is relevant here to point out that, as a backcloth for the present, largely "state of the art," account, there are two highly relevant earlier books: The Many-body Problem in Quantum Mechanics with W.

Exactly Solvable Models In Many-body Theory
Exactly Solvable Models In Many-body Theory

Author: Norman H March

Publisher: World Scientific

Published: 2016-05-27

Total Pages: 347

ISBN-13: 981314016X

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The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.

Concepts and Methods in Modern Theoretical Chemistry
Concepts and Methods in Modern Theoretical Chemistry

Author: Swapan Kumar Ghosh

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 489

ISBN-13: 1466505311

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Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and Reactivity, the first book in a two-volume set, focuses on the structure and reactivity of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, this book offers chapters written by experts in their fields. It enables readers to learn how co

Concepts and Methods in Modern Theoretical Chemistry, Two Volume Set
Concepts and Methods in Modern Theoretical Chemistry, Two Volume Set

Author: Swapan Kumar Ghosh

Publisher: CRC Press

Published: 2020-06-16

Total Pages: 856

ISBN-13: 1482260689

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Concepts and Methods in Modern Theoretical Chemistry, Two-Volume Set focuses on the structure and dynamics of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, the two books offer chapters written by experts in their fields. They enable readers to learn how concepts from ab initio quantum chemistry, density functio

Accurate Condensed-Phase Quantum Chemistry
Accurate Condensed-Phase Quantum Chemistry

Author: Fred Manby

Publisher: CRC Press

Published: 2010-08-02

Total Pages: 214

ISBN-13: 1439808376

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The theoretical methods of quantum chemistry have matured to the point that accurate predictions can be made and experiments can be understood for a wide range of important gas-phase phenomena. A large part of this success can be attributed to the maturation of hierarchies of approximation, which allow one to approach very high accuracy, provided t

Many-Body Methods for Atoms and Molecules
Many-Body Methods for Atoms and Molecules

Author: Rajat Kumar Chaudhuri

Publisher: CRC Press

Published: 2017-02-17

Total Pages: 161

ISBN-13: 1315356333

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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.

Essence Of A Genius, The: A Tribute To Yoichiro Nambu
Essence Of A Genius, The: A Tribute To Yoichiro Nambu

Author: Lars Brink

Publisher: World Scientific

Published: 2023-05-17

Total Pages: 254

ISBN-13: 9811277214

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Yoichiro Nambu was one of the giants in the physics of the last century. His profound ideas in fundamental physics are still playing an important role and are being rediscovered over and over again.He preferred to share some of his deepest insights in talks, rather than publications, but Nambu's papers and talks were not easy to understand. Like the Japanese gentleman he was, he did not want to humiliate the reader with obvious statements. Even if it is an interpretation, it fits very well with his character of a very polite and considerate human being with a self-reliance inside him that he did not show on the outside. It is no wonder that many of his breakthroughs were not immediately appreciated by his contemporaries, with a late award of a well-deserved Nobel Prize. He was probably the only one in the highest stratum of physicists who was respected by everybody.The purpose of this book, half-history, half-physics is to trace Nambu's progress formulating some of his greatest ideas. It is structured in seven chapters, describing a paper or a series of papers (or talks) where Nambu's originality and genius emerge. Each chapter begins with a historical background section that sets the physics climate of the time, followed by a somewhat detailed discussion of his papers/talks.This tribute to Nambu hopes that he will be remembered and admired for many years to come.

Recent Progress in Orbital-free Density Functional Theory
Recent Progress in Orbital-free Density Functional Theory

Author: Tomasz A. Wesolowski

Publisher: World Scientific

Published: 2013

Total Pages: 464

ISBN-13: 9814436739

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This is a comprehensive overview of state-of-the-art computational methods based on orbital-free formulation of density functional theory completed by the most recent developments concerning the exact properties, approximations, and interpretations of the relevant quantities in density functional theory.The book is a compilation of contributions stemming from a series of workshops which had been taking place since 2002. It not only chronicles many of the latest developments but also summarises some of the more significant ones. The chapters are mainly reviews of sub-domains but also include original research.

Selected Papers of K C Chou
Selected Papers of K C Chou

Author: Yue-Liang Wu

Publisher: World Scientific

Published: 2009

Total Pages: 1139

ISBN-13: 9814280380

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This volume presents a collection of selected papers written by Prof Chou. The papers are organized into four parts according to the subject of research areas and the language of publishing journals. Part I (in English) and Part III (in Chinese) are papers on field theories, particle physics and nuclear physics, Part II (in English) and Part IV (in Chinese) are papers on statistical physics and condensed matter physics. From the published papers, it illustrates and is clearly evident how Prof Chou was constantly at the frontiers of theoretical physics in various periods and carried out creative research works experimenting with initial ideas and motivations, as well as how he has driven and worked in different key research directions of theoretical physics, all for which he has made significant contributions to various interesting research areas and interdisciplinary fields.