Download or read book Irreducible Tensor Methods written by Brian L. Silver and published by Academic Press. This book was released on 2013-09-17 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Irreducible Tensor Methods: An Introduction for Chemists explains the theory and application of irreducible tensor operators. The book discusses a compact formalism to describe the effect that results on an arbitrary function of a given set of coordinates when that set is subjected to a rotation about its origin. The text also explains the concept of irreducible tensor operators, particularly, as regards the transformation properties of operators under coordinate transformations, and, in a special way, the group of rotations. The book examines the systematic construction of compound tensor operators from simple operators to classify the behavior of any operator under coordinate rotations. This classification is a significant component of the irreducible tensor method. The text explains the use of the 6-j and 9-j symbols to complete theoretical concepts that are applied in irreducible tensor methods dealing with problems of atomic and molecular physics. The book describes the matrix elements in multielectron systems, as well as the reduced matrix elements found in these systems. The book is suitable for nuclear physicists, molecular physicists, scientists, and academicians in the field of quantum mechanics or advanced chemistry.

Download or read book Irreducible Tensor Methods written by Brian L. Silver and published by . This book was released on 1976 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Irreducible Tensor Method for Molecular Symmetry Groups written by J. S. Griffith and published by Courier Dover Publications. This book was released on 2006-03-10 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this text covers V coefficients for the octahedral group and other symmetry groups, W coefficients, irreducible products and their matrix elements, two-electron formulae for the octahedral group, fractional parentage, X coefficients, spin, and matrices of one-electron operators. 1962 edition.

Download or read book The Irreducible Tensor Method for Molecular Symmetry Groups written by John Stanley Griffith and published by . This book was released on 2006 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Irreducible Cartesian Tensors written by Robert F. Snider and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-12-04 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers the concept of cartesian tensors with the needs and interests of physicists, chemists and other physical scientists in mind. After introducing elementary tensor operations and rotations, spherical tensors, combinations of tensors are introduced, also covering Clebsch-Gordan coefficients. After this, readers from the physical sciences will find generalizations of the results to spinors and applications to quantum mechanics.

Download or read book The Irreducible Tensor Method for Molecular Symmetry Groups written by Griffith (Griffith, J. S., John Stanley) and published by . This book was released on 1962 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Methods and a Unified Representation of Theory of SU3 written by N. Mukunda and published by . This book was released on 1964 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Partial Numerical Implementation of the Irreducible Tensor Method in Transition Metal Systems written by Michael Charles Armijo and published by . This book was released on 1985 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Note on the Decomposition Structure of the Direct Product of Irreducible Representations of SU 3 by Tensor Method written by N. Mukunda and published by . This book was released on 1964 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Irreducible Tensor Method in Crystal Field Theory written by Jack Allan Barnes and published by . This book was released on 1966 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Irreducible Tensor Method and Dipole forbidden Resoance Raman Scattering written by Alexander Rüdiger Siegfried Von Diezmann and published by . This book was released on 2011 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Methods in Statistics written by Peter McCullagh and published by Courier Dover Publications. This book was released on 2018-07-18 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.

Download or read book The Irreducible Tensor Approach in the Separation of Collective Angles in the Quantum Ny body Problem written by A. V. Meremianin and published by . This book was released on 2003 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The ESR Spin lattice Relaxation Using the Irreducible Tensor Method written by Sung Il Jon and published by . This book was released on 1976 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Irreducible Tensor Approach in the Separation of Collective Angles in the Quantum N body Problem written by A. V. Meremianin and published by . This book was released on 2003 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tensor Network Contractions written by Shi-Ju Ran and published by Springer Nature. This book was released on 2020-01-27 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

Download or read book Tensor Analysis written by Liqun Qi and published by SIAM. This book was released on 2017-04-19 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory?some of which are nontrivial?have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on these three subject areas: spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors.