Mathematical Models and Methods for Ab Initio Quantum Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642572375
Total Pages : 247 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical Models and Methods for Ab Initio Quantum Chemistry by : M. Defranceschi

Download or read book Mathematical Models and Methods for Ab Initio Quantum Chemistry written by M. Defranceschi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the fourth International Conference on Industrial and Applied Mathematics!, we decided to organize a sequence of 4 minisymposia devoted to the mathematical aspects and the numerical aspects of Quantum Chemistry. Our goal was to bring together scientists from different communities, namely mathematicians, experts at numerical analysis and computer science, chemists, just to see whether this heterogeneous set of lecturers can produce a rather homogeneous presentation of the domain to an uninitiated audience. To the best of our knowledgde, nothing of this kind had never been tempted so far. It seemed to us that it was the good time for doing it, both . because the interest of applied mathematicians into the world of computational chemistry has exponentially increased in the past few years, and because the community of chemists feels more and more concerned with the numerical issues. Indeed, in the early years of Quantum Chemistry, the pioneers (Coulson, Mac Weeny, just to quote two of them) used to solve fundamental equations modelling toy systems which could be simply numerically handled in view of their very limited size. The true difficulty arose with the need to model larger systems while possibly taking into account their interaction with their environment. Hand calculations were no longer possible, and computing science came into the picture.

Tools and Modes of Representation in the Laboratory Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 9401597375
Total Pages : 290 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Tools and Modes of Representation in the Laboratory Sciences by : U. Klein

Download or read book Tools and Modes of Representation in the Laboratory Sciences written by U. Klein and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: constitutive of reference in laboratory sciences as cultural sign systems and their manipulation and superposition, collectively shared classifications and associated conceptual frameworks,· and various fonns of collective action and social institutions. This raises the question of how much modes of representation, and specific types of sign systems mobilized to construct them, contribute to reference. Semioticians have argued that sign systems are not merely passive media for expressing preconceived ideas but actively contribute to meaning. Sign systems are culturally loaded with meaning stemming from previous practical applications and social traditions of applications. In new local contexts of application they not only transfer stabilized meaning but also can be used as active resources to add new significance and modify previous meaning. This view is supported by several analyses presented in this volume. Sign systems can be implemented like tools that are manipulated and superposed with other types of signs to forge new representations. The mode of representation, made possible by applying and manipulating specific types of representational tools, such as diagrammatic rather than mathematical representations, or Berzelian fonnulas rather than verbal language, contributes to meaning and forges fine-grained differentiations between scientists' concepts. Taken together, the essays contained in this volume give us a multifaceted picture of the broad variety of modes of representation in nineteenth-century and twentieth-century laboratory sciences, of the way scientists juxtaposed and integrated various representations, and of their pragmatic use as tools in scientific and industrial practice.

Quantum Chemistry

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Publisher : Courier Corporation
ISBN 13 : 0486151417
Total Pages : 180 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Quantum Chemistry by : Henry F. Schaefer III

Download or read book Quantum Chemistry written by Henry F. Schaefer III and published by Courier Corporation. This book was released on 2012-11-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each of 150 landmark papers in ab initio molecular electronic structure methods, the author provides a lucid commentary that focuses on methodology, rather than particular chemical problems. 1984 edition.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Mathematical Introduction to Electronic Structure Theory

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Publisher : SIAM
ISBN 13 : 1611975808
Total Pages : 138 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis A Mathematical Introduction to Electronic Structure Theory by : Lin Lin

Download or read book A Mathematical Introduction to Electronic Structure Theory written by Lin Lin and published by SIAM. This book was released on 2019-06-05 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.

Control of Coupled Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3764377216
Total Pages : 384 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Control of Coupled Partial Differential Equations by : Karl Kunisch

Download or read book Control of Coupled Partial Differential Equations written by Karl Kunisch and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected contributions originating from the ‘Conference on Optimal Control of Coupled Systems of Partial Differential Equations’, held at the ‘Mathematisches Forschungsinstitut Oberwolfach’ in April 2005. With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more. The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing.

Mathematical Physics in Theoretical Chemistry

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Publisher : Elsevier
ISBN 13 : 0128137010
Total Pages : 426 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mathematical Physics in Theoretical Chemistry by : S.M. Blinder

Download or read book Mathematical Physics in Theoretical Chemistry written by S.M. Blinder and published by Elsevier. This book was released on 2018-11-26 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Physics in Theoretical Chemistry deals with important topics in theoretical and computational chemistry. Topics covered include density functional theory, computational methods in biological chemistry, and Hartree-Fock methods. As the second volume in the Developments in Physical & Theoretical Chemistry series, this volume further highlights the major advances and developments in research, also serving as a basis for advanced study. With a multidisciplinary and encompassing structure guided by a highly experienced editor, the series is designed to enable researchers in both academia and industry stay abreast of developments in physical and theoretical chemistry. - Brings together the most important aspects and recent advances in theoretical and computational chemistry - Covers computational methods for small molecules, density-functional methods, and computational chemistry on personal and quantum computers - Presents cutting-edge developments in theoretical and computational chemistry that are applicable to graduate students and research professionals in chemistry, physics, materials science and biochemistry

Quantum Control: Mathematical and Numerical Challenges

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821833308
Total Pages : 228 pages
Book Rating : 4.8/5 (333 download)

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Book Synopsis Quantum Control: Mathematical and Numerical Challenges by : André D. Bandrauk

Download or read book Quantum Control: Mathematical and Numerical Challenges written by André D. Bandrauk and published by American Mathematical Soc.. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: It brought together mathematicians, theoretical chemists, and physicists working in the area of control and optimization of systems to address the outstanding numerical and mathematical problems."

Computational Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 0306483912
Total Pages : 474 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Computational Chemistry by : Errol G. Lewars

Download or read book Computational Chemistry written by Errol G. Lewars and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational chemistry has become extremely important in the last decade, being widely used in academic and industrial research. Yet there have been few books designed to teach the subject to nonspecialists. Computational Chemistry: Introduction to the Theory and Applications of Molecular and Quantum Mechanics is an invaluable tool for teaching and researchers alike. The book provides an overview of the field, explains the basic underlying theory at a meaningful level that is not beyond beginners, and it gives numerous comparisons of different methods with one another and with experiment. The following concepts are illustrated and their possibilities and limitations are given: - potential energy surfaces; - simple and extended Hückel methods; - ab initio, AM1 and related semiempirical methods; - density functional theory (DFT). Topics are placed in a historical context, adding interest to them and removing much of their apparently arbitrary aspect. The large number of references, to all significant topics mentioned, should make this book useful not only to undergraduates but also to graduate students and academic and industrial researchers.

Recent Progress In Many-body Theories - Proceedings Of The 11th International Conference

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Publisher : World Scientific
ISBN 13 : 9814489190
Total Pages : 520 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Progress In Many-body Theories - Proceedings Of The 11th International Conference by : Raymond F Bishop

Download or read book Recent Progress In Many-body Theories - Proceedings Of The 11th International Conference written by Raymond F Bishop and published by World Scientific. This book was released on 2002-12-16 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Its most powerful techniques are truly universal. They are constantly expanding to find new fields of application, while advances continue to be made in the more traditional areas. To commemorate the impending 80th birthdays of its two co-inventors, Firtz Coester and Hermann Kümmel, one such technique, namely the coupled cluster method, was especially highlighted at this meeting, the eleventh in the series of International Conferences on Recent Progress in Many-Body Theories. The history of the coupled cluster method as told here mirrors in many ways both the development of the entire discipline of microscopic quantum many-body theory and the history of the series of conferences. The series itself is universally recognised as being the premier series of meetings in this subject area. Its proceedings have always summarised the current state of the art through the lectures of its leading practitioners. The present volume is no exception. No serious researcher in quantum many-body theory or in any field which uses it can afford to be without this volume.

International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004)

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Publisher : CRC Press
ISBN 13 : 0429530307
Total Pages : 1335 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004) by : Theodore Simos

Download or read book International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004) written by Theodore Simos and published by CRC Press. This book was released on 2019-04-29 with total page 1335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference of Computational Methods in Sciences and Engineering (ICCMSE) is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. The aim of the conference is to bring together computational scientists from several disciplines in order to share methods and ideas. More than 370 extended abstracts have been submitted for consideration for presentation in ICCMSE 2004. From these, 289 extended abstracts have been selected after international peer review by at least two independent reviewers.

Reviews in Computational Chemistry, Volume 31

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Publisher : John Wiley & Sons
ISBN 13 : 1119518024
Total Pages : 368 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Reviews in Computational Chemistry, Volume 31 by : Abby L. Parrill

Download or read book Reviews in Computational Chemistry, Volume 31 written by Abby L. Parrill and published by John Wiley & Sons. This book was released on 2018-11-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Reviews in Computational Chemistry series brings together leading authorities in the field to teach the newcomer and update the expert on topics centered on molecular modeling, such as computer-assisted molecular design (CAMD), quantum chemistry, molecular mechanics and dynamics, and quantitative structure-activity relationships (QSAR). This volume, like those prior to it, features chapters by experts in various fields of computational chemistry. Topics in Volume 31 include: Lattice-Boltzmann Modeling of Multicomponent Systems: An Introduction Modeling Mechanochemistry from First Principles Mapping Energy Transport Networks in Proteins The Role of Computations in Catalysis The Construction of Ab Initio Based Potential Energy Surfaces Uncertainty Quantification for Molecular Dynamics

Essential Computational Modeling in Chemistry

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Publisher : Elsevier
ISBN 13 : 0444537619
Total Pages : 399 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Essential Computational Modeling in Chemistry by : Philippe G. Ciarlet

Download or read book Essential Computational Modeling in Chemistry written by Philippe G. Ciarlet and published by Elsevier. This book was released on 2010-12-07 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Computational Modeling in Chemistry presents key contributions selected from the volume in the Handbook of Numerical Analysis: Computational Modeling in Chemistry Vol. 10(2005). Computational Modeling is an active field of scientific computing at the crossroads between Physics, Chemistry, Applied Mathematics and Computer Science. Sophisticated mathematical models are increasingly complex and extensive computer simulations are on the rise. Numerical Analysis and scientific software have emerged as essential steps for validating mathematical models and simulations based on these models. This guide provides a quick reference of computational methods for use in understanding chemical reactions and how to control them. By demonstrating various computational methods in research, scientists can predict such things as molecular properties. The reference offers a number of techniques and the numerical analysis needed to perform rigorously founded computations. Various viewpoints of methods and applications are available for researchers to chose and experiment with; Numerical analysis and open problems is useful for experimentation; Most commonly used models and techniques for the molecular case is quickly accessible

Computational Chemistry

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Publisher : Gulf Professional Publishing
ISBN 13 : 9780444512482
Total Pages : 928 pages
Book Rating : 4.5/5 (124 download)

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Book Synopsis Computational Chemistry by : Philippe G. Ciarlet

Download or read book Computational Chemistry written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aiming to provide the reader with a general overview of the mathematical and numerical techniques used for the simulation of matter at the microscopic scale, this book lays the emphasis on the numerics, but modelling aspects are also addressed. The contributors come from different scientific communities: physics, theoretical chemistry, mathematical analysis, stochastic analysis, numerical analysis, and the text should be suitable for graduate students in mathematics, sciences and engineering and technology.

Formulation and Numerical Solution of Quantum Control Problems

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Publisher : SIAM
ISBN 13 : 1611974844
Total Pages : 396 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Formulation and Numerical Solution of Quantum Control Problems by : Alfio Borzi

Download or read book Formulation and Numerical Solution of Quantum Control Problems written by Alfio Borzi and published by SIAM. This book was released on 2017-07-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods.

Reviews in Computational Chemistry, Volume 17

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Publisher : John Wiley & Sons
ISBN 13 : 0471458813
Total Pages : 431 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Reviews in Computational Chemistry, Volume 17 by : Kenny B. Lipkowitz

Download or read book Reviews in Computational Chemistry, Volume 17 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2003-05-08 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational chemistry is increasingly used in most areas of molecular science including organic, inorganic, medicinal, biological, physical, and analytical chemistry. Researchers in these fields who do molecular modelling need to understand and stay current with recent developments. This volume, like those prior to it, features chapters by experts in various fields of computational chemistry. Two chapters focus on molecular docking, one of which relates to drug discovery and cheminformatics and the other to proteomics. In addition, this volume contains tutorials on spin-orbit coupling and cellular automata modeling, as well as an extensive bibliography of computational chemistry books. FROM REVIEWS OF THE SERIES "Reviews in Computational Chemistry remains the most valuable reference to methods and techniques in computational chemistry."—JOURNAL OF MOLECULAR GRAPHICS AND MODELLING "One cannot generally do better than to try to find an appropriate article in the highly successful Reviews in Computational Chemistry. The basic philosophy of the editors seems to be to help the authors produce chapters that are complete, accurate, clear, and accessible to experimentalists (in particular) and other nonspecialists (in general)."—JOURNAL OF THE AMERICAN CHEMICAL SOCIETY

Neither Physics nor Chemistry

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Publisher : MIT Press
ISBN 13 : 0262297876
Total Pages : 367 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Neither Physics nor Chemistry by : Kostas Gavroglu

Download or read book Neither Physics nor Chemistry written by Kostas Gavroglu and published by MIT Press. This book was released on 2011-10-07 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The evolution of a discipline at the intersection of physics, chemistry, and mathematics. Quantum chemistry—a discipline that is not quite physics, not quite chemistry, and not quite applied mathematics—emerged as a field of study in the 1920s. It was referred to by such terms as mathematical chemistry, subatomic theoretical chemistry, molecular quantum mechanics, and chemical physics until the community agreed on the designation of quantum chemistry. In Neither Physics Nor Chemistry, Kostas Gavroglu and Ana Simões examine the evolution of quantum chemistry into an autonomous discipline, tracing its development from the publication of early papers in the 1920s to the dramatic changes brought about by the use of computers in the 1970s. The authors focus on the culture that emerged from the creative synthesis of the various traditions of chemistry, physics, and mathematics. They examine the concepts, practices, languages, and institutions of this new culture as well as the people who established it, from such pioneers as Walter Heitler and Fritz London, Linus Pauling, and Robert Sanderson Mulliken, to later figures including Charles Alfred Coulson, Raymond Daudel, and Per-Olov Löwdin. Throughout, the authors emphasize six themes: epistemic aspects and the dilemmas caused by multiple approaches; social issues, including academic politics, the impact of textbooks, and the forging of alliances; the contingencies that arose at every stage of the developments in quantum chemistry; the changes in the field when computers were available to perform the extraordinarily cumbersome calculations required; issues in the philosophy of science; and different styles of reasoning.