Angular Momentum in Quantum Mechanics PDF Download

Author: A. R. Edmonds
Publisher: Princeton University Press
ISBN: 1400884187
Category : Science
Languages : en
Pages : 160

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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: Eugene Feenberg
Publisher: Courier Corporation
ISBN: 0486173933
Category : Science
Languages : en
Pages : 64

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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: V. Devanathan
Publisher: Springer Science & Business Media
ISBN: 030647123X
Category : Science
Languages : en
Pages : 242

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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: L. C. Biedenharn
Publisher: Cambridge University Press
ISBN: 9780521102445
Category : Science
Languages : en
Pages : 0

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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: Dmitriĭ Aleksandrovich Varshalovich
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789971501075
Category : Science
Languages : en
Pages : 514

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Book Description
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: M. E. Rose
Publisher: Dover Publications
ISBN: 9780486788791
Category :
Languages : en
Pages : 272

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Book Description
High-level treatment offers clear discussion of general theory and applications, including basic principles, coupling coefficients for vector addition, coupling schemes in nuclear reactions, and more. 1957 edition.

Author: David L. Andrews
Publisher: Cambridge University Press
ISBN: 1107006341
Category : Science
Languages : en
Pages : 443

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Book Description
The first comprehensive and authoritative coverage of the angular momentum of light, illustrating both its theoretical and applied aspects.

Author: Nicola Claire
Publisher:
ISBN:
Category :
Languages : en
Pages : 256

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Book Description
[Start Recording] It's not easy being me. In a galaxy filled to the brim with narcissistic biologicals, being an artificial intelligence with a conscience isn't a meteor shower or anything. But I had a good teacher. And my experiences have taught me many things. So, when given the option to either sit on the sideline and watch as things unravelled all around me, or leave the only family I have ever known and loved and do something about it, I chose to be a hero. Of course, I didn't count on a lurid red spaceship that looks like a downtrodden dog, or the seedy, backstabbing arms dealer in the galaxy's crappiest black market, or the Synthetic Hunter who didn't like that I had broken into one of its masters' supply caches and stole a whole bunch of stuff. Sometimes being a hero sucks. Sometimes, it hurts. But I'm not your average artificial intelligence. I'm a third-gen out of New Earth. [End Recording] *** ANGULAR MOMENTUM aka THE SECTOR FILES: SEASON ONE was originally published on Patreon as an episodic series. This sought-after tale in the THE SECTOR UNIVERSE is now available for anyone to read in book format. A full-length novel of approximately 65,000 words, this is the first of many seasons in this new spin-off series to the much-loved SECTOR FLEET/WARS stories. Enjoy! ***

Author: Ewald Balcar
Publisher: Springer
ISBN: 3642031188
Category : Science
Languages : en
Pages : 227

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Book Description
Application of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Challenges encountered in such work can be tamed by graphical techniques that provide both the insight and analytical power. The book is the first step-by-step exposition of a graphical method grounded in established work. Copious exercises recover standard results but demonstrate the power to go beyond.

Author: Giampiero Esposito
Publisher: Cambridge University Press
ISBN: 1139450549
Category : Science
Languages : en
Pages : 612

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Book Description
This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantization is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding.