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Quantum theory of angular momentum : Irreducible tensors, spherical harmonics, vector coupling coefficients 3 nj symbols / / by D.A. Varshalovich, A.N. Moskalev, V.K. Khersonskii
| Quantum theory of angular momentum : Irreducible tensors, spherical harmonics, vector coupling coefficients 3 nj symbols / / by D.A. Varshalovich, A.N. Moskalev, V.K. Khersonskii |
| Autore | Varshalovich D. A (Dmitriĭ Aleksandrovich) |
| Pubbl/distr/stampa | Singapore ; ; Philadelphia : , : World Scientific Pub., , 1989 |
| Descrizione fisica | 1 online resource (528 p.) |
| Disciplina | 530.1/2 |
| Altri autori (Persone) |
MoskalevA. N
KhersonskiĭV. K (Valeriĭ Kelʹmanovich) |
| Soggetto topico |
Angular momentum (Nuclear physics)
Quantum theory |
| ISBN | 981-4415-49-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; PREFACE; INTRODUCTION: BASIC CONCEPTS; Chapter 1 ELEMENTS OF VECTOR AND TENSOR THEORY; 1.1. COORDINATE SYSTEMS. BASIS VECTORS; 1.1.1. Cartesian Coordinate System; 1.1.2. Polar Coordinate System; 1,1.3. Spherical Coordinate System; 1.1.4, Helicity Basis Vector; 1.1.5. Relations Between Different Basis Vectors; 1.2. VECTORS. TENSORS; 1.2.1. Vector Components; 1.2.2. Scalar Product of Vectors; 1.2.3. Vector Product of Vectors; 1.2.4. Products Involving Three or More Vectors; 1.2.5. Tensors δik and εikl; 1.3. DIFFERENTIAL OPERATIONS; 1.3.1. Operator V; 1.3.2. Laplace Operator
1.3.3. Differential Operations on Scalars and Vectors1.4. ROTATIONS OF COORDINATE SYSTEM; 1.4.1. Description of Rotations in Terms of the Euler Angles; 1.4.2. Description of Rotations in Terms of Rotation Axis and Rotation Angle; 1.4.3. Description of Rotations in Terms of Unitary 2x2 Matrices. Cayley-Klein Parameters.; 1.4.4. Relations Between Different Descriptions of Rotations; 1.4.5. Rotation Operator; 1.4.6. Transformation of Cartesian Vectors and Tensors Under Rotations of Coordinate Systems. Rotation Matrix a; 1.4.7. Addition of Rotations; Chapter 2 ANGULAR MOMENTUM OPERATORS 2.1. TOTAL ANGULAR MOMENTUM OPERATOR2.1.1. Definition; 2.1.2. Commutation Relations; 2.1.3. Coordinate Inversion. Time Reversal; 2.1.4. Total Angular Momentum of a System. Orbital and Spin Angular Momenta; 2.2. ORBITAL ANGULAR MOMENTUM OPERATOR; 2.2.1. Definition; 2.2.2. Commutation Relations; 2.2.3. Explicit Form; 2.3. SPIN ANGULAR MOMENTUM OPERATOR; 2.3.1. Definition; 2.3.2. Commutation Relations; 2.3.3. Explicit Form; 2.3.4. Traces of Products of Spin Matrices; 2.4. POLARIZATION OPERATORS; 2.4.1. Definition; 2.4.2. Explicit Form 2.4.3. Properties of LM(S) under Transformations of the Coordinate System2.4.5. Commutators and Anticommutators; 2.4.6. Traces of Products of Polarization Operators; 2.5. SPIN MATRICES FOR 5 = 1/2; 2.5.1. Explicit Form; 2.5.2. Commutators and Anticommutators; 2.5.3. Products of Spin Matrices; 2.5.4. Functions of Spin Matrices; 2.5.5. Rotation Operators; 2.5.6. Traces of Products of Spin Matrices (S = 1/2); 2.6. SPIN MATRICES AND POLARIZATION OPERATORS FOR S = 1; 2.6.1. Spin S = 1; 2.6.2. Explicit Form; 2.6.3. Products of Spin and Polarization Matrices; 2.6.4. Functions of Spin Matrices 2.6.5. Operators of Coordinate Rotations2.6.6. Traces of Products of Spin Matrices; Chapter 3 IRREDUCIBLE TENSORS; 3.1. DEFINITION AND PROPERTIES OF IRREDUCIBLE TENSORS; 3.1.1. Definition; 3.1.2. Covariant and Contravariant Components; 3.1.3. Transformation of Irreducible Tensors Under a Rotation of the Coordinate System; 3.1.4. Transformation of Irreducible Tensors Under Inversion of the Coordinate System; 3.1.5. Double Tensors; 3.1.6. Examples of Irreducible Tensors; 3.1.7. Direct and Irreducible Tensor Products. Commutators of Tensor Products; 3.1.8. Scalar Products of Irreducible Tensors 3.2. RELATION BETWEEN THE IRREDUCIBLE TENSOR ALGEBRA AND VECTOR AND TENSOR THEORY |
| Record Nr. | UNINA-9910493743403321 |
Varshalovich D. A (Dmitriĭ Aleksandrovich)
|
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| Singapore ; ; Philadelphia : , : World Scientific Pub., , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum theory of angular momentum : irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols / / D. A. Varshalovich, A. N. Moskalev, V. K. Khersonskii
| Quantum theory of angular momentum : irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols / / D. A. Varshalovich, A. N. Moskalev, V. K. Khersonskii |
| Autore | Varshalovich D. A (Dmitriĭ Aleksandrovich) |
| Pubbl/distr/stampa | Singapore : , : World Scientific Publishing Co, , [1988] |
| Descrizione fisica | 1 online resource (x, 514 pages) : illustrations |
| Disciplina | 530.12 |
| Soggetto topico |
Angular momentum (Nuclear physics)
Quantum theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Elements of Vectors and Tensor Theory -- Angular Momentum Operators -- Irreducible Tensors -- Wigner D-Functions -- Spherical Harmonics -- Spin Functions -- Tensor Spherical Harmonics -- Clebsch-Gordan Coefficients and 3jm-Symbols -- 6j-Symbols and the Racah Coefficients -- 9j- and 12j-Symbols -- Graphical Methods in Angular Momentum Theory -- Sums Involving Vector Addition and Recoupling Coefficients -- Matrix Elements of Irreducible Tensor Operators -- Glossary of Symbols and Notations. |
| Record Nr. | UNINA-9910688449603321 |
|
Varshalovich D. A (Dmitriĭ Aleksandrovich)
|
||
| Singapore : , : World Scientific Publishing Co, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||