Irreducible Cartesian Tensors

✍ Scribed by Robert F. Snider

• Publisher: De Gruyter
• Year: 2017
• Tongue: English
• Leaves: 268
• Series: De Gruyter Studies in Mathematical Physics; 43
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Preface
Contents
List of Figures
1. Introduction
2. Vectorial Approach
3. Tensors and Their Rotational Reduction
4. Tensors of r
5. Spherical Vectors and Tensors
6. 3-j Coupling Tensors
7. Properties of 3-j Tensors
8. The 6-j and Other n-j Sym
9. Rotation Matrices
10. Spinors
11. Applications to Quantum Mechanics
A. Some Formalities of Linear Algebra
B. Calculation of D^(ℓ)_mn (0, β, 0)
Bibliography
Symbol Index