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Angular momentum in quantum physics : theory and application /

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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Biedenharn, L. C.
Otros Autores: Louck, James D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, 1984.
Colección:Encyclopedia of mathematics and its applications ; volume 8.
Encyclopedia of mathematics and its applications. Section, Mathematics of physics.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Angular momentum in quantum physics :  |b theory and application /  |c L.C. Biedenharn, J.D. Louck ; with a foreword by Peter A. Carruthers. 
264 1 |a Cambridge [Cambridgeshire] ;  |a New York, NY, USA :  |b Cambridge University Press,  |c 1984. 
300 |a 1 online resource (xxxii, 716 pages) :  |b illustrations 
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490 1 |a Encyclopedia of mathematics and its applications ;  |v volume 8.  |a Section, Mathematics of physics 
500 |a Imprint and ISBN from label on title page verso. Imprint on title page: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1981. 
500 |a Publication taken over by Cambridge University Press in 1984 with a new copyright date. 
504 |a "Bibliography of tables": pages 667-669 
500 |a Includes indexes. 
588 0 |a Print version record. 
520 |a 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. 
505 0 |a Cover; Half-title; Title; Copyright; Dedication; Contents; Contents of Volume 9; Editor's Statement; Section Editor's Foreword; Preface; Acknowledgntents; PART I; Chapter 1 Introduction; Notes; References; Chapter 2 The Kinematics of Rotations; 1. Introduction; 2. Properties of Rotations; 3. Dirac's Construction; 4. Cartan's Definition of a Spinor; 5. Relation between SU(2) and SO(3) Rotations; 6. Parametrizations of the Group of Rotations; 7. Notes; References; Chapter 3 Standard Treatment of Angular Momentum in Quantum Mechanics; 1. Overview; 2. Definition of the Angular Momentum Operators 
505 8 |a 3. The Angular Momentum Multiplets4. Matrices of the Angular Momentum; 5. The Rotation Matrices (General Properties); 6. The Rotation Matrices (Explicit Forms); 7. Wave Functions for Angular Momentum Systems; 8. Differential Equations for the Rotation Matrices; 9. Orthogonality of the Rotation Matrices; 10. Spherical Harmonics; 11. The Addition of Angular Momentum; 12. The Wigner Coefficients 1; 13. Relations between Rotation Matrices and Wigner Coefficients; 14. Concept of a Tensor Operator; 15. The Wigner-Eckart Theorem; 16. The Coupling of Tensor Operators 
505 8 |a 17. Applications of the Wigner-Eckart Theorem18. Racah Coefficients; 19. 9-j Coefficients; 20. Rotationally Invariant Products; 21. Operators Associated with Wigner, Racah, and 9-j Coefficients; 22. Notes; 23. Appendices; References; Chapter 4 The Theory of Turns Adapted from Hamilton; 1. An Alternative Approach to Rotations; 2. Properties of Turns (Geometric View); 3. Properties of Turns (Algebraic View); 4. The Space of Turns as a Carrier Space; 5. Notes; References; Chapter 5 The Boson Calculus Applied to the Theory of Turns; 1. Introduction; 2. Excursus on the Boson Calculus 
505 8 |a 3. The Jordan Mapping4. An Application of the Jordan Map; 5. Generalization of the Jordan Map; 6. Application of the Generalized Jordan Map; 7. Application of the Generalized Jordan Map to Determine the Wigner Coefficients; 8. Wigner Coefficients as ""Discretized"" Rotation Matrices; 9. Appendices; References; Chapter 6 Orbital Angular Momentum and Angular Functions on the Sphere; I. Rotational Symmetry of a Simple Physical System; 2. Scalar Product of State Vectors; 3. Unitarity of the Orbital Rotation Operator; 4. A (Dense) Subspace of H (S) 
505 8 |a 5. Only Integral Values of I can occur in the Quantization of Spatial (Orbital) Angular Momentum6. Transformations of the Solid Harmonics under Orbital Rotation; 7. The Elements of the Rotation Matrix D1(R) are Homogeneous Polynomials; 8. The Energy Eigenvalue Equation; 9. Tensor Spherical Harmonics; 10. Spinor Spherical Harmonics; 11. Vector Spherical Harmonics; 12. Algebraic Aspects of Vector Spherical Harmonics; 13. Summary of Properties of Vector Solid Harmonics; 14. Decomposition Theorem for Vector Functions Defined on the Sphere 
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650 0 |a Angular momentum. 
650 0 |a Quantum theory. 
650 0 |a Angular momentum (Nuclear physics) 
650 2 |a Quantum Theory 
650 6 |a Moment angulaire (Physique nucléaire) 
650 6 |a Théorie quantique. 
650 6 |a Moment angulaire. 
650 7 |a SCIENCE  |x Energy.  |2 bisacsh 
650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a SCIENCE  |x Physics  |x General.  |2 bisacsh 
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650 7 |a Angular momentum.  |2 fast  |0 (OCoLC)fst00809043 
650 7 |a Quantum theory.  |2 fast  |0 (OCoLC)fst01085128 
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700 1 |a Louck, James D. 
776 0 8 |i Print version:  |a Biedenharn, L.C.  |t Angular momentum in quantum physics  |z 0521302285  |w (DLC) 85121138  |w (OCoLC)12134456 
830 0 |a Encyclopedia of mathematics and its applications ;  |v volume 8. 
830 0 |a Encyclopedia of mathematics and its applications.  |p Section, Mathematics of physics. 
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