Varshalovich Quantum Theory Of Angular Momentum: A Comprehensive Handbook
Quantum theory of angular momentum is a branch of physics that deals with the properties and transformations of quantum systems that have rotational symmetry. It is an essential tool for understanding many physical phenomena, such as atomic and molecular spectroscopy, nuclear and particle physics, plasma physics, collision and reaction theory, quantum chemistry, etc.
One of the most complete and authoritative sources on this topic is the book Quantum Theory Of Angular Momentum: Irreducible Tensors, Spherical Harmonics, Vector Coupling Coefficients, 3nj Symbols by D. A. Varshalovich, A. N. Moskalev and V. K. Khersonskii[^1^]. This book was first published in 1988 by World Scientific Pub., and it contains basic definitions, theorems, relations, tables of formulae and numerical tables that are indispensable for applications to many physical problems.
The book covers various aspects of the quantum theory of angular momentum, such as irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols, Clebsch-Gordan coefficients, Racah coefficients, Wigner coefficients, Wigner-Eckart theorem, tensor operators, rotation matrices, addition of angular momenta, recoupling coefficients, reduced matrix elements, etc. It also includes many useful formulae related to other topics in physics and mathematics, such as special functions, integrals, sums, series, orthogonality relations, etc.
The book is written in a clear and rigorous style, with many examples and exercises. It also compares different notations used by previous authors and provides a comprehensive list of contents for each chapter. The book is suitable for specialists in various fields of physics and chemistry who need to use the quantum theory of angular momentum in their research or teaching.
The book is available in PDF format from various online sources[^2^] [^3^], and it has about 514 pages. It is a valuable reference for anyone interested in learning more about the quantum theory of angular momentum.
The quantum theory of angular momentum has many applications to physical problems that involve rotational symmetry or conservation of angular momentum. For example, it is used to describe the spectra and transitions of atoms and molecules, the structure and decay of nuclei and elementary particles, the scattering and reaction of particles and fields, the properties of solids and liquids, etc.
One of the most important applications of the quantum theory of angular momentum is to atomic physics, where it helps to explain the origin and characteristics of the atomic orbitals, the selection rules for optical transitions, the fine and hyperfine structure of spectral lines, the Zeeman and Stark effects, etc. The quantum theory of angular momentum also provides a basis for understanding the chemical bonding and molecular structure of molecules, as well as their vibrational and rotational spectra.
Another important application of the quantum theory of angular momentum is to nuclear physics, where it plays a crucial role in describing the shell model of nuclei, the collective model of nuclear deformation and rotation, the nuclear spin and magnetic moments, the nuclear quadrupole moments and electric transitions, the nuclear reactions and decays involving angular momentum transfer or change, etc. The quantum theory of angular momentum also helps to understand the properties and interactions of elementary particles, such as their spin and parity, their magnetic moments and electric dipole moments, their decay modes and branching ratios, their scattering cross sections and polarization effects, etc.
A third important application of the quantum theory of angular momentum is to solid state physics, where it is used to analyze the symmetry and classification of crystal lattices, the band structure and electronic properties of solids, the magnetic properties and spin waves of ferromagnets and antiferromagnets, the superconductivity and superfluidity phenomena, etc. The quantum theory of angular momentum also has applications to other fields of physics, such as plasma physics, astrophysics, cosmology, etc. 061ffe29dd