Algebraic Methods in Quantum Chemistry and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Methods in Quantum Chemistry and Physics write by Francisco M. Fernandez. This book was released on 2020-01-16. Algebraic Methods in Quantum Chemistry and Physics available in PDF, EPUB and Kindle. Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations. Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.
Algebraic Methods in Quantum Chemistry
Algebraic Methods in Quantum Chemistry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Methods in Quantum Chemistry write by G. Heldmann. This book was released on 1969. Algebraic Methods in Quantum Chemistry available in PDF, EPUB and Kindle.
Mathematical Models and Methods for Ab Initio Quantum Chemistry
Mathematical Models and Methods for Ab Initio Quantum Chemistry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Models and Methods for Ab Initio Quantum Chemistry write by M. Defranceschi. This book was released on 2012-12-06. Mathematical Models and Methods for Ab Initio Quantum Chemistry available in PDF, EPUB and Kindle. 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.
Algebraic Approach to Simple Quantum Systems
Algebraic Approach to Simple Quantum Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Approach to Simple Quantum Systems write by Barry G. Adams. This book was released on 2012-12-06. Algebraic Approach to Simple Quantum Systems available in PDF, EPUB and Kindle. This book provides an introduction to the use of algebraic methods and sym bolic computation for simple quantum systems with applications to large order perturbation theory. It is the first book to integrate Lie algebras, algebraic perturbation theory and symbolic computation in a form suitable for students and researchers in theoretical and computational chemistry and is conveniently divided into two parts. The first part, Chapters 1 to 6, provides a pedagogical introduction to the important Lie algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of simple quantum systems such as the D-dimensional hydrogen atom and harmonic oscillator. This material is suitable for advanced undergraduate and beginning graduate students. Of particular importance is the use of so(2,1) in Chapter 4 as a spectrum generating algebra for several important systems such as the non-relativistic hydrogen atom and the relativistic Klein-Gordon and Dirac equations. This approach provides an interesting and important alternative to the usual textbook approach using series solutions of differential equations.
Geometric and Algebraic Topological Methods in Quantum Mechanics
Geometric and Algebraic Topological Methods in Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric and Algebraic Topological Methods in Quantum Mechanics write by G. Giachetta. This book was released on 2005. Geometric and Algebraic Topological Methods in Quantum Mechanics available in PDF, EPUB and Kindle. In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
