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Angular Momentum in Quantum Mechanics
This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
Angular Momentum Techniques in Quantum Mechanics
A course in angular momentum techniques is essential for quantitative study of problems in atomic physics, molecular physics, nuclear physics and solid state physics. This book has grown out of such a course given to the students of the M. Sc. and M. Phil. degree courses at the University of Madras. An elementary knowledge of quantum mechanics is an essential pre-requisite to undertake this course but no knowledge of group theory is assumed on the part of the readers. Although the subject matter has group-theoretic origin, special efforts have been made to avoid the gro- theoretical language but place emphasis on the algebraic formalism dev- oped by Racah (1942a, 1942b, 1943, 1951). How far ...
Nuclear Physics
Nuclear Physics is concerned primarily with low-energy nuclear physics rather than high-energy or elementary particle physics, although examples from particle physics are used where appropriate. The Fermi Golden Rule is given emphasis throughout. This text consists of six chapters and begins with an introduction to nuclear physics, followed by a discussion on nuclear structure at a fairly basic level. This book also discusses the nuclear periodic table, radioactivity, and unstable nuclear states as well as nuclear mass and nuclear binding energy. Spin and static electric and magnetic moments are then examined from the perspective of quantum mechanics rather than through the vector model of a...
Quantum Theory of Angular Momentum
Ch. 1. Elements of vector and tensor theory -- ch. 2. Angular momentum operators -- ch. 3. Irreducible tensors -- ch. 4. Wigner D-functions -- ch. 5. Spherical harmonics -- ch. 6. Spin functions -- ch. 7. Tensor spherical harmonics -- ch. 8. Clebsch-Gordan coefficients and 3jm symbols -- ch. 9. 6j symbols and the Racah coefficients -- ch. 10. 9j and 12j symbols -- ch. 11. The graphical method in angular momentum theory -- ch. 12. Sums involving vector addition and recoupling coefficients -- ch. 13. matrix elements of irreducible tensor operators
The Nuclear Shell Model
This book is aimed at enabling the reader to obtain a working knowledge of the nuclear shell model and to understand nuclear structure within the framework of the shell model. Attention is concentrated on a coherent, self-contained exposition of the main ideas behind the model with ample illustrations to give an idea beyond formal exposition of the concepts. Since this text grew out of a course taught for advanced undergraduate and first-year graduate students in theoretical nuclear physics, the accents are on a detailed exposition of the material with step-by-step derivations rather than on a superficial description of a large number of topics. In this sense, the book differs from a number ...
Introductory Nuclear Physics
INTRODUCTORY NUCLEAR PHYSICS
Problems and Solutions on Atomic, Nuclear and Particle Physics
Atomic and Molecular Physics : Atomic Physics (1001--1122) - Molecular Physics (1123--1142) - Nuclear Physics : Basic Nuclear Properties (2001--2023) - Nuclear Binding Energy, Fission and Fusion (2024--2047) - The Deuteron and Nuclear forces (2048--2058) - Nuclear Models (2059--2075) - Nuclear Decays (2076--2107) - Nuclear Reactions (2108--2120) - Particle Physics : Interactions and Symmetries (3001--3037) - Weak and Electroweak Interactions, Grand Unification Theories (3038--3071) - Structure of Hadros and the Quark Model (3072--3090) - Experimental Methods and Miscellaneous Topics : Kinematics of High-Energy Particles (4001--4061) - Interactions between Radiation and Matter (4062--4085) - Detection Techniques and Experimental Methods (4086--4105) - Error Estimation and Statistics (4106--4118) - Particle Beams and Accelerators (4119--4131).
Nuclear Physics with Stable and Radioactive Ion Beams
The field of radioactive ion beam research has evolved over the last three decades, and several sizeable facilities are currently undergoing a major upgrade or are under construction. In Europe, these include ISOLDE - CERN (Switzerland), SPIRAL2 - GANIL (France), FAIR - GSI (Germany) and SPES (Italy) while RIBF - RIKEN (Japan), TRIUMF (Canada) and FRIB - MSU (USA) are the major undertakings elsewhere. These will create unprecedented opportunities to extend our knowledge in as yet unexplored regions of the nuclear chart, and address key questions in nuclear physics, fundamental interactions, and astrophysics, as well as linking to other fields of science including life science. This book pres...
Angular Momentum Calculus in Quantum Physics
This book is concerned with the practical aspects of solving angular momentum problems. The novel but fully tested-out method (the Invariant Graph Method) allows one to write down from a single graph the complete final result of the problem. The drawing of the graph involves very few simple, essentially self-evident rules. Still it is a powerful tool to easily solve the most involved physical problems.The method is introduced step-by-step in a sequence of examples, beginning with the simplest matrix elements, and ending with the most general case of a reaction including angular distributions and correlations. The many-body and particle anti-particle systems are fully developed. All aspects: wave functions, vectors, operators, Fock space state vectors and operators, etc., are treated on the same footing. All concepts of angular momentum theory acquire a transparent meaning. Hence the book is valuable not only as a handbook in problem solving, but extremely so as an adjunct in any course on advanced qunatum physics, atomic, molecular, nuclear and particle physics.
Nuclear Collective Motion
The two most important developments in nuclear physics were the shell model and the collective model. The former gives the formal framework for a description of nuclei in terms of interacting neutrons and protons. The latter provides a very physical but phenomenological framework for interpreting the observed properties of nuclei. A third approach, based on variational and mean-field methods, brings these two perspectives together in terms of the so-called unified models. Together, these three approaches provide the foundations on which nuclear physics is based. They need to be understood by everyone practicing or teaching nuclear physics, and all those who wish to gain an understanding of t...
