Irreducible tensor methods: An introduction for chemists (Physical chemistry, a series of monographs)

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. Content: Front Matter , Page iii Copyright , Page iv Dedication , Page v Preface , Pages xiii-xiv Introduction , Pages xv-xvii Chapter 1 - The Rotation Operator , Pages 1-15 Chapter 2 - The Wigner Rotation Matrices , Pages 16-29 Chapter 3 - The Coupling of Two Angular Momenta , Pages 30-46 Chapter 4 - Scalars, Vectors, Tensors , Pages 47-50 Chapter 5 - Irreducible Tensor Operators , Pages 51-65 Chapter 6 - The Wigner-Eckart Theorem , Pages 66-74 Chapter 7 - The 6- j Symbol , Pages 75-82 Chapter 8 - The 9- j Symbol , Pages 83-87 Chapter 9 - The Matrix Elements of Irreducible Tensor Operators , Pages 88-97 Chapter 10 - The Coulomb Interaction , Pages 99-103 Chapter 11 - Spin-Orbit Coupling , Pages 106-107 Chapter 12 - The Magnetic Dipole-Dipole Interaction , Pages 110-111 Chapter 13 - Spin-Spin Couplings , Pages 114-115 Chapter 14 - The Electronic Zeeman Interaction , Page 118 Chapter 15 - Operator Equivalents , Pages 119,122-123 Chapter 16 - Real Tensorial Sets in R 3 –Cartesian Tensors , Pages 126-127 Chapter 17 - Some Multipole Expansions , Pages 130-131 Chapter 18 - Racah Algebra for Point Groups , Pages 134-146 Chapter 19 - Operators and Matrix Elements , Pages 147-156 Chapter 20 - Spinor Groups , Pages 157-162 Chapter 21 - Matrix Elements in Multielectron Systems , Pages 163-170 Chapter 22 - Reduced Matrix Elements in Multielectron Systems , Pages 171-178 Chapter 23 - Spin-Orbit Coupling in a Low-Spin d 5 Complex , Pages 179-180 Chapter 24 - Further Examples of Spin-Orbit Coupling , Pages 181-185 Chapter 25 - Electric Dipole Transitions in a Tetrahedral Complex , Pages 186-188 Chapter 26 - Second Quantization , Pages 189-194 Chapter 27 - Photoelectron Spectra of Open-Shell Molecules , Pages 195-196 Chapter 28 - Vector Fields , Pages 197-208 Chapter 29 - Light , Pages 209-214 Chapter 30 - Light Scattering , Pages 215-218 References , Pages 219-221 Index , Pages 223-226 Physical Chemistry , Pages ibc1-ibc2