Author : L. C. Biedenharn
Publisher : Cambridge University Press
Page : 0 pages
File Size : 18,96 MB
Release : 2009-03-12
Category : Science
ISBN : 9780521102445
This 1985 text develops the theory of angular momentum from the viewpoint of a fundamental symmetry in nature and shows how this concept relates to applied areas of research in modern quantum physics.
Author : A. R. Edmonds
Publisher : Princeton University Press
Page : 155 pages
File Size : 27,73 MB
Release : 2016-08-10
Category : Science
ISBN : 1400884187
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.
Author : V. Devanathan
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 10,73 MB
Release : 2005-12-17
Category : Science
ISBN : 030647123X
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 I am successful in this project is left to the discerning reader to judge. After the publication of the two classic books, one by Rose and the other by Edmonds on this subject in the year 1957, the application of angular momentum techniques to solve physical problems has become so common that it is found desirable to organize a separate course on this subject to the students of physics. It is to cater to the needs of such students and research workers that this book is written. A large number of questions and problems given at the end of each chapter will enable the reader to have a clearer understanding of the subject.
Author : David L. Andrews
Publisher : Cambridge University Press
Page : 443 pages
File Size : 33,78 MB
Release : 2013
Category : Science
ISBN : 1107006341
The first comprehensive and authoritative coverage of the angular momentum of light, illustrating both its theoretical and applied aspects.
Author : M. E. Rose
Publisher :
Page : 0 pages
File Size : 22,10 MB
Release : 1957
Category : Particles (Nuclear physics)
ISBN :
Author : Dmitriĭ Aleksandrovich Varshalovich
Publisher : World Scientific Publishing Company Incorporated
Page : 514 pages
File Size : 27,16 MB
Release : 1988
Category : Science
ISBN : 9789971501075
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
Author : Michael Danos
Publisher : World Scientific
Page : 178 pages
File Size : 43,52 MB
Release : 1990
Category : Science
ISBN : 9789810204129
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.
Author : Valeria D. Kleiman
Publisher : John Wiley & Sons
Page : 214 pages
File Size : 13,67 MB
Release : 1998-09-30
Category : Science
ISBN : 9780471192497
Angular momentum is a basic concept used in classical physics. Examples of phenomena that are related to angular momentum are: 1) Why a moving bicycle does not fall over and 2) why the currents in the ocean of the rotating earth tend to follow circular motions. Designed as a learning tool for those with limited background in quantum mechanics and to compliment Zare's Angular Momentum, this book provides examples, problems, & solutions in angular momentum in quantum mechanics and its applications to chemistry and physics.
Author : Richard N. Zare
Publisher : Wiley-Interscience
Page : 374 pages
File Size : 15,39 MB
Release : 1988
Category : Science
ISBN :
Designed as a learning tool for those with limited background in quantum mechanics, this book provides comprehensive coverage of angular momentum in quantum mechanics and its applications to chemistry and physics. Based on class-tested material, this presentation offers clear explanations of theory while giving equal attention to solving real problems. Theoretical considerations are made concrete and accessible through extensive examples and applications at the end of each chapter. Problem sets, designed as both individual and group exercises, are treated as an integral part of the text in order to stimulate student interest and clarify the abstract principles discussed. Examples are drawn primarily from atomic and molecular phenomena, and include many intermediate steps (often left out of other texts) to ensure complete mastery of the material, and to lay the groundwork for understanding photon and particle collision phenomena, and more advanced studies.
Author : M Chaichian
Publisher : CRC Press
Page : 320 pages
File Size : 42,40 MB
Release : 2023-07-21
Category : Science
ISBN : 1000944166
Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.
