Download or read book The Construction of Spin Eigenfunctions written by Ruben Pauncz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author wrote a monograph 20 years ago on the construction of spin eigen functions; the monograph was published by Plenum. The aim of that mono graph was to present all aspects connected with the construction of spin eigen functions and its relation to the use of many-electron antisymmetric wavefunc tions. The present book is an introduction to these subjects, with an emphasis on the practical side. After the theoretical treatment, there will be many exam ples and exercises which will illustrate the different methods. The theory of the symmetric group and its representations generated by the different spin eigen functions is an other subject, this is closely related to the quantum chemical applications. Finally we will survey the calculation of the matrix elements of the Hamiltonian, using the different constructions of the spin functions. The closing chapter will deal with a new method that gained much importance recently; the spin-coupled valence bond method. Since the publication of Spin Eigenfunctions, nearly 20 years ago there have been many interesting developments in the subject; there are quite a few new algorithms for the construction of spin eigenfunctions. Moreover the use of the spin-coupled valence bond method showed the importance of using different constructions for the spin functions. The subject matter of this book has been presented in a graduate course in the Technion. The author is obliged to the graduate students Averbukh Vitali, Gokhberg Kirill, and Narevicius Edvardas for many helpful comments.
Download or read book Spin Eigenfunctions written by Ruben Pauncz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a comprehensive treatment of the different methods for the construction of spin eigenfunctions and to show their interrelations. The ultimate goal is the construction of an antisymmetric many-electron wave function that has both spatial and spin parts and the calculation of the matrix elements of the Hamiltonian over the total wave function. The representations of the symmetric group playa central role both in the construction of spin functions and in the calculation of the matrix elements of the Hamiltonian, so this subject will be treated in detail. We shall restrict the treatment to spin-independent Hamiltonians; in this case the spin does not have a direct role in the energy expression, but the choice of spin functions influences the form of spatial functions through the antisymmetry principle; the spatial functions determine the energy of the system. We shall also present the "spin-free quantum chemistry" approach of Matsen and co-workers, in which one starts immediately with the construction of spatial functions that have the correct permutational symmetries. By presenting both the conventional and the spin-free approach, one gains a better understanding of certain aspects of the elec tronic correlation problem. The latest advance in the calculation of the matrix elements of the Hamiltonian is the use of the representations of the unitary group, so this will be the last subject. It is a pleasant task to thank all those who helped in writing this book.
Download or read book Elementary Quantum Chemistry written by Frank L. Pilar and published by Courier Corporation. This book was released on 2001-01-01 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful introductory course and reference covers origins of quantum theory, Schrödinger wave equation, quantum mechanics of simple systems, electron spin, quantum states of atoms, Hartree-Fock self-consistent field method, more. 1990 edition.
Download or read book The Symmetric Group in Quantum Chemistry written by R. Pauncz and published by CRC Press. This book was released on 2018-05-04 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to provide comprehensive treatment of the use of the symmetric group in quantum chemical structures of atoms, molecules, and solids. It begins with the conventional Slater determinant approach and proceeds to the basics of the symmetric group and the construction of spin eigenfunctions. The heart of the book is in the chapter dealing with spin-free quantum chemistry showing the great interpretation value of this method. The last three chapters include the unitary group approach, the symmetric group approach, and the spin-coupled valence bond method. An extensive bibliography concludes the book.
Download or read book New Trends in Quantum Systems in Chemistry and Physics written by J. Maruani and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theoretical Foundations of Electron Spin Resonance written by John E. Harriman and published by Academic Press. This book was released on 2013-10-22 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical Foundations of Electron Spin Resonance deals with the theoretical approach to electron paramagnetic resonance. The book discusses electron spin resonance in applications related to polyatomic, probably organic, free radicals in condensed phases. The book also focuses on essentially static phenomena, that is, the description and determination of stationary-state energy levels. The author reviews the Dirac theory of the electron in which a four-component wave function is responsible for the behavior of the electron. The author then connects this theory with the nonrelativistic wave function theory. The book also addresses the relationship between spin Hamiltonian parameters and observable energy levels, as well as the expressions for specific spin Hamiltonian parameters concerning operators and wave functions. The book discusses wave- functions for open-shell systems; as well as how to extract values of spin Hamiltonian from information related to wave functions. The author then examines empirically adjusted parameters that can determine the wave function itself. This book can prove valuable for scientists involved with nuclear physics, molecular physics, and researchers in chemical physics.
Download or read book Introductory Organic Chemistry and Hydrocarbons written by Caio Lima Firme and published by CRC Press. This book was released on 2019-08-28 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel proposal for teaching organic chemistry based on a broader and simplified use of quantum chemistry theories and notions of some statistical thermodynamic concepts aiming to enrich the learning process of the organic molecular properties and organic reactions. A detailed physical chemistry approach to teach organic chemistry for undergraduate students is the main aim of this book. A secondary objective is to familiarize undergraduate students with computational chemistry since most of illustrations of optimized geometries (plus some topological graphs) and information is from quantum chemistry outputs which will also enable students to obtain a deeper understanding of organic chemistry.
Download or read book The Construction of Spin Eigenfunctions written by Ruben Pauncz and published by . This book was released on 2000-06-30 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current volume is a very practical book, consisting primarily of many examples and exercises. In particular, The Construction of Spin Eigenfunctions presents all aspects connected with the construction of spin eigenfunctions, and their relationship with many-electron antisymmetric wave functions. This book treats new aligorithms in a way that no previous books have. The Construction of Spin Eigenfunctions opens with a brief theoretical introduction. Due to the increasing importance of spin eigenfunctions in quantum chemistry, Dr. Pauncz has followed up with two helpful chapters on the symmetric group and its representations. The author has also calculated matrix elements of the Hamiltonian using spin eigenfunctions. Dr. Pauncz wraps up the book with an important new technique: the spin-coupled valence bond method. This book should be very useful to graduate students working in the field of molecular quantum mechanics. It also could be used as a text for a one-semester graduate course in physics or in chemistry.
Download or read book Elementary Quantum Chemistry Second Edition written by Frank L. Pilar and published by Courier Corporation. This book was released on 2013-08-22 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the author notes in the Preface to this valuable text, experimental chemists have moved past studying the average behavior of atoms or molecules "to probe the step-by-step behavior of individual atoms and molecules as they collide, form 'transition states,' and ultimately form products." In such experiments, quantum mechanical computations do two useful tasks: They fill in the observational gaps and help to interpret what has been observed. This introductory course — developed by the former chairman of the chemistry department at the University of New Hampshire — covers, among other topics, the origins of the quantum theory, the Schrödinger wave equation, the quantum mechanics of simple systems, the rigid rotator, the hydrogen atom, electron spin and many-electron systems, the quantum states of atoms, the Hartree-Fock self-consistent field method, the electronic structure of molecules, and semi-empirical molecular orbital methods. One of the great values of the course is its calculations and diagrams, which were created specifically for this text and which students will be able to replicate on their home computers. The text will be most useful for advanced undergraduate or beginning graduate students who have had calculus and at least a year of undergraduate physics. A knowledge of differential equations, linear algebra, and atomic physics is helpful but not essential. Seven appendices give a concise exposition of mathematical and physical material that may not be part of the students' background.
Download or read book Ab Initio Methods in Quantum Chemistry Volume 69 Part 2 written by K. P. Lawley and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.
Download or read book Fundamental World of Quantum Chemistry written by Erkki Brändas and published by Springer Science & Business Media. This book was released on 2003 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Per-Olov Löwdin's stature has been a symbol of the world of quantum theory during the past five decades, through his basic contributions to the development of the conceptual framework of Quantum Chemistry and introduction of the fundamental concepts; through a staggering number of regular summer schools, winter institutes, innumerable lectures at Uppsala, Gainesville and elsewhere, and Sanibel Symposia; by founding the International Journal of Quantum Chemistry and Advances in Quantum Chemistry; and through his vision of the possible and his optimism for the future, which has inspired generations of physicists, chemists, mathematicians, and biologists to devote their lives to molecular electronic theory and dynamics, solid state, and quantum biology. Fundamental World of Quantum Chemistry: Volumes I, II and III form a collection of papers dedicated to the memory of Per-Olov Löwdin. These volumes are of interest to a broad audience of quantum, theoretical, physical, biological, and computational chemists; atomic, molecular, and condensed matter physicists; biophysicists; mathematicians working in many-body theory; and historians and philosophers of natural science.
Download or read book Quantum Theory written by D. R. Bates and published by Academic Press. This book was released on 2013-10-22 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory, Volume II: Aggregates of Particles presents the quantal treatment of systems of particles, including complex atoms, molecules, liquids, and solids. This book discusses the fundamentals and applications of quantum theory. Organized into seven chapters, this volume begins with an overview of the detailed information concerning the structure of complex atoms that is obtained from spectroscopic observations. This text then explains group theory as a branch of pure mathematics that can be applied to problems as diverse as the structure of crystals and the theory of equations. Other chapters consider the problems encountered in the interpretation of molecular spectra, which form some examples of the application of the quantum theory. This book discusses as well the methods of statistical mechanics in general. The final chapter deals with the main approaches to the problem of describing the liquid state in quantum mechanical terms. This book is a valuable resource for theoretical chemists and theoretical physicists.
Download or read book Molecular Electronic Structure Theory written by Trygve Helgaker and published by John Wiley & Sons. This book was released on 2014-08-11 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods. This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include: * Second quantization with spin adaptation * Gaussian basis sets and molecular-integral evaluation * Hartree-Fock theory * Configuration-interaction and multi-configurational self-consistent theory * Coupled-cluster theory for ground and excited states * Perturbation theory for single- and multi-configurational states * Linear-scaling techniques and the fast multipole method * Explicity correlated wave functions * Basis-set convergence and extrapolation * Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies. Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions. This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.
Download or read book Correlation and Localization written by Peter R. Surjan and published by Springer. This book was released on 2003-07-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Development in science depends on several factors. Among these, the role of individual scientists is perhaps not the most important one. Science is typically a body of collective knowledge and any increase in the amount of this knowledge is certainly due to strong interaction among scientists. Even in the past, it happened quite rarely that a single person, without any aid of others, d- covered something fundamental or opened a new chapter in science. Great figures of science history have, in most cases, had rather a summarizing and s- thesizing role. This is especially valid over the last few decades. On one hand, the amount of information necessary to achieve new discoveries, has increased tremendously. On the other hand, improvement of technical facilities has increased the speed of information exchange. These factors resulted in a degree of specialization in science that had never seen before. Most of us are experts and specialists rather than scientists in the classical sense. My personal feeling is that, even nowadays, there is a strong need for professionals with a broad knowledge and c- prehensive mind, although they may not be competitive in the number of their publications or the sizes of their grants. Every time I have met such a person (I can count these cases on my fingers) I have become deeply influenced by his or her strong intellect.
Download or read book Quantum Systems in Chemistry and Physics written by Alfonso Hernández-Laguna and published by Springer Science & Business Media. This book was released on 2000-03-31 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes together comprise forty papers coming from the most outstanding contributions to the third European Quantum Systems in Chemistry and Physics Workshop held in Granada, Spain (1997). These books cover a very broad spectrum of scientific research work from quantum-mechanical many-body methods to important applications and computational developments, and from atoms and molecules to condensed matter. The first volume is subtitled Basic Problems and Model Systems, and includes the following topics: density matrices and density functionals, electron correlation effects, relativistic formulations, valence theory, and nuclear motions. The second volume is subtitled Advanced Problems and Complex Systems and covers the following topics: response theory, condensed matter, reactive collisions and chemical reactions, and computational chemistry and physics.
Download or read book Beauty Of Mathematics In Science The The Intellectual Path Of J Q Chen written by Da-hsuan Feng and published by World Scientific. This book was released on 2004-02-13 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to the life and work of J Q Chen. The contributions of Chen to nuclear and molecular physics are discussed vis-à-vis present developments in these fields. Among other subjects, the present status of microscopic theories of the interacting boson model in nuclear physics and the theory of symmetry adaptation of molecular vibrations in molecular physics are reviewed. The latter theory is particularly useful for large molecular species such as fullerenes, where icosahedral symmetry plays a fundamental role.
Download or read book Advances in Quantum Chemistry written by and published by Academic Press. This book was released on 1967-01-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry
