Irreducible Cartesian Tensors PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Irreducible Cartesian Tensors PDF full book. Access full book title Irreducible Cartesian Tensors.
Author | : Robert F. Snider |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 268 |
Release | : 2017-12-04 |
Genre | : Science |
ISBN | : 3110564866 |
Download Irreducible Cartesian Tensors Book in PDF, ePub and Kindle
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.
Author | : Krishnamurty Karamcheti |
Publisher | : |
Total Pages | : 282 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : |
Download Vector Analysis and Cartesian Tensors Book in PDF, ePub and Kindle
Author | : Brian L. Silver |
Publisher | : Academic Press |
Total Pages | : 248 |
Release | : 2013-09-17 |
Genre | : Mathematics |
ISBN | : 1483191818 |
Download Irreducible Tensor Methods Book in PDF, ePub and Kindle
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.
Author | : G. Temple |
Publisher | : Courier Corporation |
Total Pages | : 108 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486154548 |
Download Cartesian Tensors Book in PDF, ePub and Kindle
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
Author | : Harold Jeffreys |
Publisher | : |
Total Pages | : 116 |
Release | : 1961 |
Genre | : Calculus of tensors |
ISBN | : |
Download Cartesian Tensors Book in PDF, ePub and Kindle
Author | : L. G. Jaeger |
Publisher | : Elsevier |
Total Pages | : 125 |
Release | : 2016-06-06 |
Genre | : Technology & Engineering |
ISBN | : 1483138720 |
Download Cartesian Tensors in Engineering Science Book in PDF, ePub and Kindle
Cartesian Tensors in Engineering Science provides a comprehensive discussion of Cartesian tensors. The engineer, when working in three dimensions, often comes across quantities which have nine components. Variation of the components in a given plane may be shown graphically by a familiar construction called Mohr's circle. For such quantities it is always possible to find three mutually perpendicular axes, called principal axes, with respect to which the six ""paired up"" components are all zero. Such quantities are called symmetric tensors of the second order. The student may at this stage be struck by the fact that the physical quantities with which he normally deals have either one component, three components or nine components, being respectively scalars, vectors, and what have just been called second order tensors. The family of quantities having 1, 3, 9, 27, ... components does exist. It is the tensor family in three dimensions. The book discusses the ""tests"" a given quantity must pass in order to qualify as a member of the family. The products of tensors, elasticity, and second moment of area and moment of inertia are also covered. Although written primarily for engineers, it is hoped that students of various branches of physical science may find this book useful.
Author | : George Frederick James Temple |
Publisher | : Courier Corporation |
Total Pages | : 114 |
Release | : 2004-09-01 |
Genre | : Mathematics |
ISBN | : 9780486439082 |
Download Cartesian Tensors Book in PDF, ePub and Kindle
An introduction to the theory of Cartesian tensors, this text notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. Covers isotropic tensors and spinor analysis within the confines of Euclidean space; and tensors in orthogonal curvilinear coordinates. Examples. 1960 edition.
Author | : Nils O. Myklestad |
Publisher | : Princeton, N.J : Van Nostrand |
Total Pages | : 166 |
Release | : 1967 |
Genre | : Calculus of tensors |
ISBN | : |
Download Cartesian Tensors Book in PDF, ePub and Kindle
Author | : Khalid Latif Mir |
Publisher | : |
Total Pages | : 151 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : |
Download An Introduction to Cartesian Tensors Book in PDF, ePub and Kindle
Author | : Siegfried Hess |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : 9783319127880 |
Download Tensors for Physics Book in PDF, ePub and Kindle
This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.