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Irreducible Tensor Methods

Irreducible Tensor Methods
Author: Brian L. Silver
Publisher: Academic Press
Total Pages: 248
Release: 2013-09-17
Genre: Mathematics
ISBN: 1483191818

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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.


The Irreducible Tensor Method for Molecular Symmetry Groups

The Irreducible Tensor Method for Molecular Symmetry Groups
Author: J. S. Griffith
Publisher: Courier Dover Publications
Total Pages: 148
Release: 2006-03-10
Genre: Science
ISBN: 0486450473

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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.


Irreducible Tensor Methods

Irreducible Tensor Methods
Author: Brian L. Silver
Publisher:
Total Pages: 226
Release: 1976
Genre: Calculus of tensors
ISBN:

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Irreducible Cartesian Tensors

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

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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.


Tensor Methods in Statistics

Tensor Methods in Statistics
Author: Peter McCullagh
Publisher: Courier Dover Publications
Total Pages: 308
Release: 2018-07-18
Genre: Mathematics
ISBN: 0486832694

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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.