روش‌های تانسور غیرقابل کاهش: مقدمه‌ای برای شیمیدانان (شیمی فیزیکی، مجموعه‌ای از مونوگراف‌ها)

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. Title Page Preface Introduction Chapter 1 - The Rotation Operator Chapter 2 - The Wigner Rotation Matrices Chapter 3 - The Coupling of Two Angular Momenta Chapter 4 - Scalars, Vectors, Tensors Chapter 5 - Irreducible Tensor Operators Chapter 6 - The Wigner-Eckart Theorem Chapter 7 - The 6-j Symbol Chapter 8 - The 9-j Symbol Chapter 9 - The Matrix Elementsof Irreducible Tensor Operators Chapter 10 - The Coulomb Interaction Chapter 11 - Spin-Orbit Coupling Chapter 12 - The Magnetic Dipole-Dipole Interaction Chapter 13 - Spin-Spin Couplings Chapter 14 - The Electronic Zeeman Interaction Chapter 15 - Operator Equivalents Chapter 16 - Real Tensorial Sets in R[3]-Cartesian Tensors Chapter 17 - Some Multipole Expansions Chapter 18 - Racah Algebra for Point Groups Chapter 19 - Operators and Matrix Elements Chapter 20 - Spinor Groups Chapter 21 - Matrix Elementsin Multielectron Systems Chapter 22 - Reduced Matrix Elementsin Multielectron Systems Chapter 23 - Spin-Orbit Couplingin a Low-Spin d5 Complex Chapter 24 - Further Examplesof Spin-Orbit Coupling Chapter 25 - Electric Dipole Transitionsin a Tetrahedral Complex Chapter 26 - Second Quantization Chapter 27 - Photoelectron Spectraof Open-Shell Molecules Chapter 28 - Vector Fields Chapter 29 - Light Chapter 30 - Light Scattering References Index