Problems & solutions in group theory for physicists:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, N.J.
World Scientific
©2004
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 457-459) and index Cover -- Contents -- Preface -- 1. REVIEW ON LINEAR ALGEBRAS -- 1.1 Eigenvalues and Eigenvectors of a Matrix -- 1.2 Some Special Matrices -- 1.3 Similarity Transformation -- 2. GROUP AND ITS SUBSETS -- 2.1 Definition of a Group -- 2.2 Subsets in a Group -- 2.3 Homomorphism of Groups -- 3. THEORY OF REPRESENTATIONS -- 3.1 Transformation Operators for a Scalar Function -- 3.2 Inequivalent and Irreducible Representations -- 3.3 Subduced and Induced Representations -- 3.4 The Clebsch-Gardan Coefficients -- 4. THREE-DIMENSIONAL ROTATION GROUP -- 4.1 SO(3) Group and Its Covering Group SU(2) -- 4.2 Inequivalent and Irreducible Representations -- 4.3 Lie Groups and Lie Theorems -- 4.4 Irreducible Tensor Operators -- 4.5 Unitary Representations with Infinite Dimensions -- 5. SYMMETRY OF CRYSTALS -- 5.1 Symmetric Operations and Space Groups -- 5.2 Symmetric Elements -- 5.3 International Notations for Space Groups -- 6. PERMUTATION GROUPS -- 6.1 Multiplication of Permutations -- 6.2 Young Patterns, Young Tableaux and Young Operators -- 6.3 Primitive Idempotents in the Group Algebra -- 6.4 Irreducible Representations and Characters -- 6.5 The Inner and Outer Products of Representations -- 7. LIE GROUPS AND LIE ALGEBRAS -- 7.1 Classification of Semisimple Lie Algebras -- 7.2 Irreducible Representations and the Chevalley Bases -- 7.3 Reduction of the Direct Product of Representations -- 8. UNITARY GROUPS -- 8.1 The SU(N) Group and Its Lie Algebra -- 8.2 Irreducible Tensor Representations of SU(N) -- 8.3 Orthonormal Bases for Irreducible Representations -- 8.4 Subduced Representations -- 8.5 Casimir Invariants of SU(N) -- 9. REAL ORTHOGONAL GROUPS -- 9.1 Tensor Representations of SO(N) -- 9.2 Spinor Representations of SO(N) -- 9.3 SO(4) Group and the Lorentz Group -- 10. THE SYMPLECTIC GROUPS -- 10.1 The Groups Sp(2l, R) and USp(2l) -- 10.2 Irreducible Representations of Sp(2l) -- Bibliography -- Index |
| Beschreibung: | 1 Online-Ressource (x, 464 pages) |
| ISBN: | 1281872407 9781281872401 9789812388322 9789812562418 981238832X 9812562419 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Ma, Zhongqi |
| author_facet | Ma, Zhongqi |
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| author_sort | Ma, Zhongqi |
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| dewey-full | 530.15/22 |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/22 |
| dewey-search | 530.15/22 |
| dewey-sort | 3530.15 222 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:19:20Z |
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| isbn | 1281872407 9781281872401 9789812388322 9789812562418 981238832X 9812562419 |
| language | English |
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| spelling | Ma, Zhongqi Verfasser aut Problems & solutions in group theory for physicists Zhong-Qi Ma, Xiao-Yan Gu Problems and solutions in group theory for physicists Group theory for physicists River Edge, N.J. World Scientific ©2004 1 Online-Ressource (x, 464 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 457-459) and index Cover -- Contents -- Preface -- 1. REVIEW ON LINEAR ALGEBRAS -- 1.1 Eigenvalues and Eigenvectors of a Matrix -- 1.2 Some Special Matrices -- 1.3 Similarity Transformation -- 2. GROUP AND ITS SUBSETS -- 2.1 Definition of a Group -- 2.2 Subsets in a Group -- 2.3 Homomorphism of Groups -- 3. THEORY OF REPRESENTATIONS -- 3.1 Transformation Operators for a Scalar Function -- 3.2 Inequivalent and Irreducible Representations -- 3.3 Subduced and Induced Representations -- 3.4 The Clebsch-Gardan Coefficients -- 4. THREE-DIMENSIONAL ROTATION GROUP -- 4.1 SO(3) Group and Its Covering Group SU(2) -- 4.2 Inequivalent and Irreducible Representations -- 4.3 Lie Groups and Lie Theorems -- 4.4 Irreducible Tensor Operators -- 4.5 Unitary Representations with Infinite Dimensions -- 5. SYMMETRY OF CRYSTALS -- 5.1 Symmetric Operations and Space Groups -- 5.2 Symmetric Elements -- 5.3 International Notations for Space Groups -- 6. PERMUTATION GROUPS -- 6.1 Multiplication of Permutations -- 6.2 Young Patterns, Young Tableaux and Young Operators -- 6.3 Primitive Idempotents in the Group Algebra -- 6.4 Irreducible Representations and Characters -- 6.5 The Inner and Outer Products of Representations -- 7. LIE GROUPS AND LIE ALGEBRAS -- 7.1 Classification of Semisimple Lie Algebras -- 7.2 Irreducible Representations and the Chevalley Bases -- 7.3 Reduction of the Direct Product of Representations -- 8. UNITARY GROUPS -- 8.1 The SU(N) Group and Its Lie Algebra -- 8.2 Irreducible Tensor Representations of SU(N) -- 8.3 Orthonormal Bases for Irreducible Representations -- 8.4 Subduced Representations -- 8.5 Casimir Invariants of SU(N) -- 9. REAL ORTHOGONAL GROUPS -- 9.1 Tensor Representations of SO(N) -- 9.2 Spinor Representations of SO(N) -- 9.3 SO(4) Group and the Lorentz Group -- 10. THE SYMPLECTIC GROUPS -- 10.1 The Groups Sp(2l, R) and USp(2l) -- 10.2 Irreducible Representations of Sp(2l) -- Bibliography -- Index Groupes, Théorie des Physique mathématique SCIENCE / Physics / Mathematical & Computational bisacsh Mathematische Physik Group theory Mathematical physics Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Gruppentheorie (DE-588)4072157-7 s Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 Gu, X. Y. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=129826 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ma, Zhongqi Problems & solutions in group theory for physicists Groupes, Théorie des Physique mathématique SCIENCE / Physics / Mathematical & Computational bisacsh Mathematische Physik Group theory Mathematical physics Gruppentheorie (DE-588)4072157-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4037952-8 (DE-588)4143389-0 |
| title | Problems & solutions in group theory for physicists |
| title_alt | Problems and solutions in group theory for physicists Group theory for physicists |
| title_auth | Problems & solutions in group theory for physicists |
| title_exact_search | Problems & solutions in group theory for physicists |
| title_full | Problems & solutions in group theory for physicists Zhong-Qi Ma, Xiao-Yan Gu |
| title_fullStr | Problems & solutions in group theory for physicists Zhong-Qi Ma, Xiao-Yan Gu |
| title_full_unstemmed | Problems & solutions in group theory for physicists Zhong-Qi Ma, Xiao-Yan Gu |
| title_short | Problems & solutions in group theory for physicists |
| title_sort | problems solutions in group theory for physicists |
| topic | Groupes, Théorie des Physique mathématique SCIENCE / Physics / Mathematical & Computational bisacsh Mathematische Physik Group theory Mathematical physics Gruppentheorie (DE-588)4072157-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Groupes, Théorie des Physique mathématique SCIENCE / Physics / Mathematical & Computational Mathematische Physik Group theory Mathematical physics Gruppentheorie Aufgabensammlung |
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