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Angular Momentum in Quantum Mechanics

Author: A. R. Edmonds

Publisher: Princeton University Press

Published: 2016-08-10

Total Pages: 160

ISBN-13: 1400884187

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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.

Book Synopsis Angular Momentum in Quantum Mechanics by : A. R. Edmonds

Download or read book Angular Momentum in Quantum Mechanics written by A. R. Edmonds and published by Princeton University Press. This book was released on 2016-08-10 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Notes on the Quantum Theory of Angular Momentum

Author: Eugene Feenberg

Publisher: Courier Corporation

Published: 1999-01-01

Total Pages: 68

ISBN-13: 9780486409238

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Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.

Book Synopsis Notes on the Quantum Theory of Angular Momentum by : Eugene Feenberg

Download or read book Notes on the Quantum Theory of Angular Momentum written by Eugene Feenberg and published by Courier Corporation. This book was released on 1999-01-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.

Quantum Theory of Angular Momentum

Author: Dmitriĭ Aleksandrovich Varshalovich

Publisher: World Scientific Publishing Company Incorporated

Published: 1988

Total Pages: 514

ISBN-13: 9789971501075

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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

Book Synopsis Quantum Theory of Angular Momentum by : Dmitriĭ Aleksandrovich Varshalovich

Download or read book Quantum Theory of Angular Momentum written by Dmitriĭ Aleksandrovich Varshalovich and published by World Scientific Publishing Company Incorporated. This book was released on 1988 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Angular Momentum in Quantum Physics

Author: L. C. Biedenharn

Publisher: Cambridge University Press

Published: 2009-03-12

Total Pages: 0

ISBN-13: 9780521102445

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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.

Book Synopsis Angular Momentum in Quantum Physics by : L. C. Biedenharn

Download or read book Angular Momentum in Quantum Physics written by L. C. Biedenharn and published by Cambridge University Press. This book was released on 2009-03-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elementary Theory of Angular Momentum

Author: M. E. Rose

Publisher: Dover Publications

Published: 2013-12-20

Total Pages: 272

ISBN-13: 9780486788791

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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.

Book Synopsis Elementary Theory of Angular Momentum by : M. E. Rose

Download or read book Elementary Theory of Angular Momentum written by M. E. Rose and published by Dover Publications. This book was released on 2013-12-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Angular Momentum Techniques in Quantum Mechanics

Author: V. Devanathan

Publisher: Springer Science & Business Media

Published: 2005-12-17

Total Pages: 255

ISBN-13: 030647123X

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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.

Book Synopsis Angular Momentum Techniques in Quantum Mechanics by : V. Devanathan

Download or read book Angular Momentum Techniques in Quantum Mechanics written by V. Devanathan and published by Springer Science & Business Media. This book was released on 2005-12-17 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Theory for Mathematicians

Author: Brian C. Hall

Publisher: Springer Science & Business Media

Published: 2013-06-19

Total Pages: 566

ISBN-13: 1461471168

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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.

Book Synopsis Quantum Theory for Mathematicians by : Brian C. Hall

Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Angular Momentum of Light

Author: David L. Andrews

Publisher: Cambridge University Press

Published: 2013

Total Pages: 443

ISBN-13: 1107006341

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

Book Synopsis The Angular Momentum of Light by : David L. Andrews

Download or read book The Angular Momentum of Light written by David L. Andrews and published by Cambridge University Press. This book was released on 2013 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive and authoritative coverage of the angular momentum of light, illustrating both its theoretical and applied aspects.

Quantum Theory of Angular Momentum

Author: L. C. Biedenharn

Publisher:

Published: 1965

Total Pages: 0

ISBN-13:

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Book Synopsis Quantum Theory of Angular Momentum by : L. C. Biedenharn

Download or read book Quantum Theory of Angular Momentum written by L. C. Biedenharn and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Notes on the Quantum Theory of Angular Momentum

Author: Eugene Feenberg

Publisher: Courier Corporation

Published: 2013-01-23

Total Pages: 68

ISBN-13: 0486173933

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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.

Book Synopsis Notes on the Quantum Theory of Angular Momentum by : Eugene Feenberg

Download or read book Notes on the Quantum Theory of Angular Momentum written by Eugene Feenberg and published by Courier Corporation. This book was released on 2013-01-23 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.