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Relativistic Quantum Chemistry

Relativistic Quantum Chemistry
Author: Markus Reiher
Publisher: John Wiley & Sons
Total Pages: 692
Release: 2009-05-13
Genre: Science
ISBN: 3527627499

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Written by two researchers in the field, this book is a reference to explain the principles and fundamentals in a self-contained, complete and consistent way. Much attention is paid to the didactical value, with the chapters interconnected and based on each other. From the contents: * Fundamentals * Relativistic Theory of a Free Electron: Diracï¿1⁄2s Equation * Dirac Theory of a Single Electron in a Central Potential * Many-Electron Theory I: Quantum Electrodynamics * Many-Electron Theory II: Dirac-Hartree-Fock Theory * Elimination of the Small Component * Unitary Transformation Schemes * Relativistic Density Functional Theory * Physical Observables and Molecular Properties * Interpretive Approach to Relativistic Quantum Chemistry From beginning to end, the authors deduce all the concepts and rules, such that readers are able to understand the fundamentals and principles behind the theory. Essential reading for theoretical chemists and physicists.


Introduction to Relativistic Quantum Chemistry

Introduction to Relativistic Quantum Chemistry
Author: Kenneth G. Dyall
Publisher: Oxford University Press
Total Pages: 544
Release: 2007-04-19
Genre: Science
ISBN: 0190286377

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This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.


Relativistic Effects in Chemistry, Applications

Relativistic Effects in Chemistry, Applications
Author: Krishnan Balasubramanian
Publisher: Wiley-Interscience
Total Pages: 552
Release: 1997-05-23
Genre: Science
ISBN:

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E = mc2 and the Periodic Table . . . RELATIVISTIC EFFECTS IN CHEMISTRY This century's most famous equation, Einstein's special theory of relativity, transformed our comprehension of the nature of time and matter. Today, making use of the theory in a relativistic analysis of heavy molecules, that is, computing the properties and nature of electrons, is the work of chemists intent on exploring the mysteries of minute particles. The first work of its kind, Relativistic Effects in Chemistry details the computational and analytical methods used in studying the relativistic effects in chemical bonding as well as the spectroscopic properties of molecules containing very heavy atoms. The second of two independent volumes, Part B: Applications contains specific experimental and theoretical results on the electronic states of molecules containing very heavy atoms as well as their spectroscopic properties and electronic structures. The first one-volume catalog of comprehensive computational results, Part B details: * the relativistic effects on the electronic structure of transition metal clusters, such as the Cu, Ag, and Au triad * the electronic structure of open-shell transition metal clusters such as Rh3 and Ir3 * the electronic and spectroscopic properties of heteronuclear diatomics of main group p-block elements from Ga to Po, especially the diatomic hydrides, halides, and chalconides * the clusters of the very heavy main group p-block elements from Ga to Po * the relativistic effects on molecules containing lanthanide and actinide atoms, including metals inside fullerenes. An extraordinary new examination of Periodic Table elements, Part B of Relativistic Effects in Chemistry is also evidence of the enduring influence of Einstein's revolutionary theory.


Relativistic Quantum Mechanics

Relativistic Quantum Mechanics
Author: Hartmut Pilkuhn
Publisher: Springer Science & Business Media
Total Pages: 244
Release: 2013-06-29
Genre: Science
ISBN: 366205275X

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In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics appears as a special case, and classical relativistic mechanics as another one. These special cases are important for giving plausible names to operators, for example "orbital angular momentum", "spin" or "magnetic moment". A subject which is treated for the first time in this book is the theory of binaries in terms of differential equations which have the mathematical structure of the corresponding one-body equations (Klein--Gordon for two spin- less particles, Dirac for two spinor particles).


Relativistic Quantum Mechanics. Wave Equations

Relativistic Quantum Mechanics. Wave Equations
Author: Walter Greiner
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2013-03-09
Genre: Science
ISBN: 3662042754

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Relativistic Quantum Mechanics. Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course. This third edition has been slightly revised to bring the text up-to-date.


LSC Relativistic Quantum Mechanics

LSC Relativistic Quantum Mechanics
Author: James Bjorken
Publisher: McGraw-Hill Science/Engineering/Math
Total Pages: 0
Release: 1998-09-24
Genre: Science
ISBN: 9780072320022

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In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and concepts in electromagnetic, weak, and strong interactions. these include defining and implementing the renormalization program and evaluating effects of radia- tive corrections, such as the Lamb shift, in low-order calculations. The necessary background for the book is pro- vided by a course in nonrelativistic quantum mechanics at the general level of Schiff's text, QUANTUM MECHANICS.


Relativistic Electronic Structure Theory - Fundamentals

Relativistic Electronic Structure Theory - Fundamentals
Author:
Publisher: Elsevier
Total Pages: 947
Release: 2002-11-22
Genre: Science
ISBN: 0080540465

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The first volume of this two part series is concerned with the fundamental aspects of relativistic quantum theory, outlining the enormous progress made in the last twenty years in this field. The aim was to create a book such that researchers who become interested in this exciting new field find it useful as a textbook, and do not have to rely on a rather large number of specialized papers published in this area. · No title is currently available that deals with new developments in relativistic quantum electronic structure theory · Interesting and relevant to graduate students in chemistry and physics as well as to all researchers in the field of quantum chemistry · As treatment of heavy elements becomes more important, there will be a constant demand for this title


Relativistic Methods for Chemists

Relativistic Methods for Chemists
Author: Maria Barysz
Publisher: Springer Science & Business Media
Total Pages: 622
Release: 2010-04-15
Genre: Science
ISBN: 1402099754

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“Relativistic Methods for Chemists”, written by a highly qualified team of authors, is targeted at both experimentalists and theoreticians interested in the area of relativistic effects in atomic and molecular systems and processes and in their consequences for the interpretation of the heavy element’s chemistry. The theoretical part of the book focuses on the relativistic methods for molecular calculations discussing relativistic two-component theory, density functional theory, pseudopotentials and correlations. The experimentally oriented chapters describe the use of relativistic methods in different applications focusing on the design of new materials based on heavy element compounds, the role of the spin-orbit coupling in photochemistry and photobiology, and chirality and its relations to relativistic description of matter and radiation. This book is written at an intermediate level in order to appeal to a broader audience than just experts working in the field of relativistic theory.


Relativistic Quantum Mechanics and Field Theory

Relativistic Quantum Mechanics and Field Theory
Author: Franz Gross
Publisher: John Wiley & Sons
Total Pages: 643
Release: 2008-07-11
Genre: Science
ISBN: 3527617345

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An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.


Relativistic Quantum Theory of Atoms and Molecules

Relativistic Quantum Theory of Atoms and Molecules
Author: Ian P Grant
Publisher: Springer Science & Business Media
Total Pages: 813
Release: 2007-04-15
Genre: Science
ISBN: 0387350691

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This book is intended for physicists and chemists who need to understand the theory of atomic and molecular structure and processes, and who wish to apply the theory to practical problems. As far as practicable, the book provides a self-contained account of the theory of relativistic atomic and molecular structure, based on the accepted formalism of bound-state Quantum Electrodynamics. The author was elected a Fellow of the Royal Society of London in 1992.