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Author: Eugene Feenberg Publisher: Courier Corporation ISBN: 0486173933 Category : Science Languages : en Pages : 64
Book Description
Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.
Author: Eugene Feenberg Publisher: Courier Corporation ISBN: 0486173933 Category : Science Languages : en Pages : 64
Book Description
Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.
Author: L. C. Biedenharn Publisher: Cambridge University Press ISBN: 9780521102445 Category : Science Languages : en Pages : 0
Book Description
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 ISBN: 1400884187 Category : Science Languages : en Pages : 160
Book Description
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 ISBN: 030647123X Category : Science Languages : en Pages : 242
Book Description
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: Brian C. Hall Publisher: Springer Science & Business Media ISBN: 1461471168 Category : Science Languages : en Pages : 554
Book Description
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Author: K. Srinivasa Rao Publisher: ISBN: 9783540563082 Category : Angular momentum (Nuclear physics). Languages : en Pages : 315
Book Description
The foundation for the quantum theory of angular momentum, as an integral part of quantum mechanics, was laid in the 1920's which whitnessed profound theoretical developments. For the atomic, molecular and nuclear physicist, the quantum theory of angular momentum is an indispensable and essential discipline. The discovery of new symmetries of the Clebsch-Gordan and Racah coefficients, overlooked in the course of time, provided the impetus to congently present the intimate connection between angular-momentum coefficients and the theory of generalized hypergeometric functions. Throughout this monograph, emphasis is placed on a good exposition of any aspect of the theory in order to be reliablewith respect to notations, phase factors and numerical factors. The monograph also provides complete solutions to some of the major problems of angular-momentum quantum theory. The topics selected cover: Connection between angular-momentum coefficient, relation between angular-momentum coefficients and orthogonal polynomial, plynomial zeros of angular-momentum coefficients, numerical algorithms for the generation of polynomial zeros and the computation of angular-momentum coefficients based on sets of generalized hypergeometric functions, and q-generalizations of angular-momentum coefficients.
Author: V K Khersonskii Publisher: World Scientific ISBN: 9814578282 Category : Science Languages : en Pages : 528
Book Description
This is the most complete handbook on the quantum theory of angular momentum. Containing basic definitions and theorems as well as relations, tables of formula and numerical tables which are essential for applications to many physical problems, the book is useful for specialists in nuclear and particle physics, atomic and molecular spectroscopy, plasma physics, collision and reaction theory, quantum chemistry, etc. The authors take pains to write many formulae in different coordinate systems thus providing users with added ease in consulting this book. Each chapter opens with a comprehensive list of its contents to ease the search for any information needed later. New results relating to different aspects of the angular momentum thoery are also included. Containing close to 500 pages this book also gathers together many useful formulae besides those related to angular momentum. The book also compares different notations used by previous authors.
Author: Eugene Feenberg
Author: Eugene Feenberg
Author: Eugene Feenberg
Author: Eugene Feenberg
Author: L. C. Biedenharn
Author: A. R. Edmonds
Author: V. Devanathan
Author: Brian C. Hall
Author: L. C. Biedenharn
Author: K. Srinivasa Rao
Author: V K Khersonskii