Relativistic Quantum Theory of Atoms and Molecules

Theory and Computation

Author: Ian P Grant

Publisher: Springer Science & Business Media

ISBN: 0387350691

Category: Science

Page: 800

View: 1404

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.

Relativistic Quantum Mechanics

Author: Hartmut Pilkuhn

Publisher: Springer Science & Business Media

ISBN: 9783540255024

Category: Science

Page: 278

View: 6722

In this book, quantum mechanics is developed on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics as well as classical relativistic mechanics appear as special cases. They are the sources of familiar names such as "orbital angular momentum", "spin-orbit coupling" and "magnetic moment" for operators of the relativistic quantum formalism. The theory of binaries, in terms of differential equations, is treated for the first time in this book. This second edition of the successful textbook adds various new sections on relativistic quantum chemistry and on the relativistic treatment of the proton in hydrogen. Others chapters have been expanded, or carefully revised.

Relativistic Quantum Chemistry

The Fundamental Theory of Molecular Science

Author: Markus Reiher,Alexander Wolf

Publisher: John Wiley & Sons

ISBN: 3527627499

Category: Science

Page: 690

View: 1899

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: Dirac's 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.

New Trends in Quantum Systems in Chemistry and Physics

Volume 1 Basic Problems and Model Systems Paris, France, 1999

Author: J. Maruani,Christian Minot,R. McWeeny,Y.G. Smeyers,Stephen Wilson

Publisher: Springer Science & Business Media

ISBN: 0306469510

Category: Science

Page: 424

View: 1058

These two volumes collect thirty-eight selected papers from the scientific contributions presented at the Fourth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-IV), held in Marly-le-Roi (France) in April 22-27, 1999, A total ofone hundred and fifteen scientists attended the workshop, 99 from Europe and 16 from the rest ofthe world. They discussed the state of the art, new trends, and future evolution of the methods and applications. The workshop was held in the old town of Marly-le-Roi, which lies to the West of Paris between the historic centres of Saint-Germain-en-Laye and Versailles. Participants were housed at the National Youth Institute, where over sixty lectures were given by l- ding members ofthe scientific community; in addition, over sixty posters were presented in two very animated sessions. We are grateful to the oral speakers and to the poster p- senters for making the workshop such an stimulating experience. The social programme was also memorable - and notjust for the closing banquet, which was held at the French Senate House. We are sure that participants will long remember their visit to the 'Musée des Antiquités Nationales': created by Napoleon III at the birthplace ofLouis XIV, this museum boasts one ofthe world finest collections ofarcheological artifacts. The Marly-le-Roi workshop followed the format established at the three previous meetings, organized by Prof.

Theoretical Chemistry and Physics of Heavy and Superheavy Elements

Author: U. Kaldor,Stephen Wilson

Publisher: Springer Science & Business Media

ISBN: 9401701059

Category: Science

Page: 565

View: 4295

Quantum mechanics provides the fundamental theoretical apparatus for describing the structure and properties of atoms and molecules in terms of the behaviour of their fundamental components, electrons and nudeL For heavy atoms and molecules containing them, the electrons can move at speeds which represent a substantial fraction of the speed of light, and thus relativity must be taken into account. Relativistic quantum mechanics therefore provides the basic formalism for calculating the properties of heavy-atom systems. The purpose of this book is to provide a detailed description of the application of relativistic quantum mechanics to the many-body prob lem in the theoretical chemistry and physics of heavy and superheavy elements. Recent years have witnessed a continued and growing interest in relativistic quantum chemical methods and the associated computa tional algorithms which facilitate their application. This interest is fu elled by the need to develop robust, yet efficient theoretical approaches, together with efficient algorithms, which can be applied to atoms in the lower part of the Periodic Table and, more particularly, molecules and molecular entities containing such atoms. Such relativistic theories and computational algorithms are an essential ingredient for the description of heavy element chemistry, becoming even more important in the case of superheavy elements. They are destined to become an indispensable tool in the quantum chemist's armoury. Indeed, since relativity influences the structure of every atom in the Periodic Table, relativistic molecular structure methods may replace in many applications the non-relativistic techniques widely used in contemporary research.

Computational Chemistry

Reviews of Current Trends

Author: Jerzy Leszczynski

Publisher: World Scientific

ISBN: 9789810225728

Category: Science

Page: 271

View: 6504

This book presents an overview of recent progress in computational techniques as well as examples of the application of existing computational methods in different areas of chemistry, physics, and biochemistry. Introductory chapters cover a broad range of fundamental topics, including: state-of-the-art basis set expansion methods for computing atomic and molecular electronic structures based on the use of relativistic quantum mechanics; the most recent developments in Hartree-Fock methods, particularly in techniques suited for very large systems; the current analysis of the solute-solvent free energy of interaction and the physical bases used to evaluate the electrostatic, cavitation, and dispersion terms; an introduction to the additive fuzzy electron density fragmentation scheme within various ab initio Hartree-Fock quantum-chemical computational schemes, which has provided the means for generating representative molecular fragment densities characteristic to their local environment within a molecule. This book also features a review of recent ab initio calculations on the structure and interactions of DNA bases, a chapter on computational approaches to the design of safer drugs and their molecular properties, and a systematic conceptual study on a route which allows one to stuff fullerenes.

Relativistic Many-Body Theory

A New Field-Theoretical Approach

Author: Ingvar Lindgren

Publisher: Springer Science & Business Media

ISBN: 9781441983091

Category: Science

Page: 366

View: 9490

This book gives a comprehensive account of relativistic many-body perturbation theory, based upon field theory. After some introductory chapters about time-independent and time dependent many-body perturbation theory (MBPT), the standard techniques of S-matrix and Green’s functions are reviewed. Next, the newly introduced covariant-evolution-operator method is described, which can be used, like the S-matrix method, for calculations in quantum electrodynamics (QED). Unlike the S-matrix method, this has a structure that is similar to that of MBPT and therefore can serve as basis for a unified theory. Such an approach is developed in the final chapters, and its equivalence to the Bethe-Salpeter equation is demonstrated. Possible applications are discussed and numerical illustrations given.

Introduction to the Theory of Collisions of Electrons with Atoms and Molecules

Author: S.P. Khare

Publisher: Springer Science & Business Media

ISBN: 1461506115

Category: Science

Page: 353

View: 4896

An understanding of the collisions between micro particles is of great importance for the number of fields belonging to physics, chemistry, astrophysics, biophysics etc. The present book, a theory for electron-atom and molecule collisions is developed using non-relativistic quantum mechanics in a systematic and lucid manner. The scattering theory is an essential part of the quantum mechanics course of all universities. During the last 30 years, the author has lectured on the topics presented in this book (collisions physics, photon-atom collisions, electron-atom and electron-molecule collisions, "electron-photon delayed coincidence technique", etc.) at many institutions including Wayne State University, Detroit, MI, The University of Western Ontario, Canada, and The Meerut University, India. The present book is the outcome of those lectures and is written to serve as a textbook for post-graduate and pre-PhD students and as a reference book for researchers.

Problems in Structural Inorganic Chemistry

Author: Wai-Kee Li,Yu-San Cheung,Kendrew Kin Wah Mak,Thomas Chung Wai Mak

Publisher: OUP Oxford

ISBN: 0191633054

Category: Science

Page: 328

View: 3980

This book consists of over 300 problems (and their solutions) in structural inorganic chemistry at the senior undergraduate and beginning graduate level. The topics covered comprise Atomic and Molecular Electronic States, Atomic Orbitals, Hybrid Orbitals, Molecular Symmetry, Molecular Geometry and Bonding, Crystal Field Theory, Molecular Orbital Theory, Vibrational Spectroscopy, and Crystal Structure. The central theme running through these topics is symmetry, molecular or crystalline. The problems collected in this volume originate in examination papers and take-home assignments that have been part of the teaching of the book's two senior authors' at The Chinese University of Hong Kong over the past four decades. The authors' courses include Chemical Bonding, Elementary Quantum Chemistry, Advanced Inorganic Chemistry, X-Ray Crystallography, etc. The problems have been tested by generations of students taking these courses.

Relativistische Quantenmechanik

Author: Armin Wachter

Publisher: Springer-Verlag

ISBN: 3540274847

Category: Science

Page: 390

View: 1521

- Welche Probleme tauchen in relativistischen Erweiterungen der Schrödinger-Theorie auf, insbesondere wenn man an der gewohnten Ein-Teilchen-Wahrscheinlichkeitsinterpretation festhält? - Inwieweit können diese Schwierigkeiten überwunden werden? - Worin besteht die physikalische Notwendigkeit von Quantenfeldtheorien? Viele Bücher geben auf solch fundamentale Verständnisfragen nur unzureichend Antwort, indem sie das relativistisch-quantenmechanische Ein-Teilchenkonzept zugunsten einer möglichst frühen Einführung der Feldquantisierung relativ schnell abhandeln oder ganz weglassen. Im Gegensatz dazu betont das vorliegende Lehrbuch gerade diesen Ein-Teilchenaspekt (relativistische Quantenmechanik ‚im engeren Sinne’), diskutiert die damit einhergehenden Probleme und motiviert somit auf physikalisch verständliche Weise die Notwendigkeit quantisierter Felder. Die ersten beiden Kapitel beschäftigen sich mit der ausführlichen Darlegung und Gegenüberstellung der Klein-Gordon- und Dirac-Theorie - immer mit Blick auf die nichtrelativistische Theorie. Im dritten Kapitel werden relativistische Streuprozesse behandelt und die Feynman-Regeln aus Propagatorverfahren heraus entwickelt. Dabei wird auch hier deutlich, warum man letztlich um eine quantenfeldtheoretische Begründung nicht herumkommt. Dieses Lehrbuch wendet sich an alle Studierenden der Physik, die an einer übersichtlich geordneten Darstellung der relativistischen Quantenmechanik ‚im engeren Sinne’ und deren Abgrenzung zu Quantenfeldtheorien interessiert sind.

Quantum physics of atoms, molecules, solids, nuclei, and particles

Author: Robert Martin Eisberg,Robert Resnick

Publisher: John Wiley & Sons Inc


Category: Science

Page: 864

View: 5127

A revision of a successful junior/senior level text, this introduction to elementary quantum mechanics clearly explains the properties of the most important quantum systems. Emphasizes the applications of theory, and contains new material on particle physics, electron-positron annihilation in solids and the Mossbauer effect. Includes new appendices on such topics as crystallography, Fourier Integral Description of a Wave Group, and Time-Independent Perturbation Theory.

Philosophical Problems of Space and Time

Second, enlarged edition

Author: Adolf Grünbaum

Publisher: Springer Science & Business Media

ISBN: 940102622X

Category: Science

Page: 884

View: 6398

It is ten years since Adolf Griinbaum published the first edition of this book. It was promptly recognized to be one of the few major works in the philosophy of the natural sciences of this generation. In part, this is so because Griinbaum has chosen a problem basic both to philosophy and to the natural sciences - the nature of space and time; and in part, this is so because he so admirably exemplifies that Aristotelian devotion to the intimate and mutual dependence of actual science and philosophical understanding. More than this, however, the quality of his work derives from his achievement in combining detail with scope. The problems of space and time have been among the most difficult in contemporary and classical thought, and Griinbaum has been responsible to the full depth and complexity of these difficulties. This revised and enlarged second edition is a work in progress, in the tradition of reflective analysis of modern science of such figures as Ehrenfest and Reichenbach. In publishing this work among the Boston Studies in the Philosophy of Science, we hope to contribute to and encourage that broad tradition of natural philosophy which is marked by the close collaboration of philoso phers and scientists. To this end, we have published the proceedings of our Colloquia, of meetings and conferences here and abroad, as well as the works of single authors.

Invitation to Contemporary Physics

Author: Quang Ho-Kim,Narendra Kumar,Harry C. S. Lam

Publisher: World Scientific

ISBN: 9789812383037

Category: Science

Page: 482

View: 9802

Readership: Students, researchers in physics, chemistry, engineering and mathematics, science writers and general readers.

Advanced Molecular Quantum Mechanics

An Introduction to Relativistic Quantum Mechanics and the Quantum Theory of Radiation

Author: R. Moss

Publisher: Springer Science & Business Media

ISBN: 9400956886

Category: Juvenile Nonfiction

Page: 300

View: 2732

This book is primarily intended for graduate chemists and chemical physicists. Indeed, it is based on a graduate course that I give in the Chemistry Depart ment of Southampton University. Nowadays undergraduate chemistry courses usually include an introduction to quantum mechanics with particular reference to molecular properties and there are a number of excellent textbooks aimed specifically at undergraduate chemists. In valence theory and molecular spectroscopy physical concepts are often encountered that are normally taken on trust. For example, electron spin and the anomalous magnetic moment of the electron are usually accepted as postulates, although they are well understood by physicists. In addition, the advent of new techniques has led to experimental situations that can only be accounted for adequately by relatively sophisticated physical theory. Relativis tic corrections to molecular orbital energies are needed to explain X-ray photo electron spectra, while the use oflasers can give rise to multiphoton transitions, which are not easy to understand using the classical theory of radiation. Of course, the relevant equations may be extracted from the literature, but, if the underlying physics is not understood, this is a practice that is at best dissatisfy ing and at worst dangerous. One instance where great care must be taken is in the use of spectroscopically determined parameters to test the accuracy of elec tronic wave functions.

Handbook of Relativistic Quantum Chemistry

Author: Wenjian Liu

Publisher: Springer

ISBN: 9783642407659

Category: Science

Page: 1200

View: 1407

This handbook covers new methodological developments and applications of relativistic quantum chemistry. It also pays attention to the foundation of relativistic quantum mechanics and addresses a number of fundamental issues that have not been covered by any book. For instance, what is the appropriate relativistic many-electron Hamiltonian? How to do relativistic explicit/local correlation? How to formulate relativistic properties? How to combine double-group and time-reversal symmetries? How to do QED calculations for molecules? Just to name a few. This book aims to establish the big picture of relativistic molecular quantum mechanics, ranging from pedagogic introduction for uninitiated readers, advanced methodologies and efficient algorithms for experts, to possible future perspectives, such that the reader knows when/how to apply/develop the methodologies. This self-contained two-volume book can be regarded as a supplement to the three-volume "Handbook of Computational Chemistry", which contains no relativity at all. It is to be composed of 6 sections with different chapters (will be further expanded), each of which is to be written by the most active experts, who will be invited upon approval of this proposal.

Precision Physics of Simple Atoms and Molecules

Author: Savely G. Karshenboim

Publisher: Springer Science & Business Media

ISBN: 3540754784

Category: Science

Page: 286

View: 4727

This volume presents multidisciplinary treatments of important areas and new developments within precision physics. It concentrates on new topics and those not treated in the previous volumes about the precision physics of simple atoms, all published in LNP. For example, it concentrates on the proton structure and its effects on the energy levels, on simple molecules, on atoms somewhat more complicated than hydrogen (such as lithium), on exotic atoms and atoms with exotic nuclei.

The Poetry of Physics and the Physics of Poetry

Author: Robert K. Logan

Publisher: World Scientific

ISBN: 9814295949

Category: Science

Page: 340

View: 8987

This is a textbook for a survey course in physics taught without mathematics, that also takes into account the social impact and influences from the arts and society. It combines physics, literature, history and philosophy from the dawn of human life to the 21st century. It will also be of interest to the general reader.