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The application of group theory in physics /
The Application of Group Theory in Physics.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
New York :
Pergamon Press,
1960.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; The Application of Group Theory in Physics; Copyright Page; Table of Contents; PREFACE; CHAPTER I. Elements of the Theory of Groups; 1. Groups; 2. Subgroups; 3. Isomorphism and homomorphism of groups; Chapter II. Some Specific Groups; 4. The Permutation Group; 5. The Rotation Group; 6. The Pull Orthogonal Group; 7. The Euclidean Group; 8. The Point Groups; 9. The Point Groups of the First Kjnd; 10. The Point Groups of the Second Kind; 11. The Translation Group; 12. Syngonies; 13. The Symmetry of Crystals; Chapter III. The Theory of Group Representations; 14. Representation of a Group.
- 15. Equivalent representations16. The Averaging Functional; 17. Reducible Representations; 18. Irreducible Representations and Orthogonality properties; 19. The Completeness Theorem; 20. The Theory of Characters; Chapter IV. Operations with Group Representations; 21. The Product of Representations; 22. Conjugate Representation; 23. Real Representations; 24. The Direct Product; 25. Symmetrized Multiple Products of Representations; 26. Decomposition of a Reducible Representation into Irreducible Representations; Chapter V. Representations of Certain Groups.
- 27. Representations of the Permutation Group Sn28. The Irrreducible Representations of Point Groups; 29. Representations of Translation Groups; 30. Representations of Space Groups; Chapter VI. Small Oscillations of Symmetrical Systems; 31. Normal Coordinates and Eigen-Frequencies; 32. Symmetrical Coordinates; 33. The Lagrangian in Symmetrical Coordinates; 34. The Oscillatory Representation; 35. An Example: the Molecule CHCl3; Chapter VII. Second Order Phase Transitions; 36. Formulation of the Problem; 37. Active Representations; 38. An Example; Chapter VIII. Crystals; 39. Sound in Crystals.
- 40. Electron Levels in a Crystal41. Tensors in Crystals; Chapter IX. Infinite Groups; 42. Specific Properties of Infinite Groups; 43. Elements of the Theory of Lie Groups; 44. Infinitesimal Representation of a Lie Group; Chapter X. Representations of the Rotation Groups in Two and Three Dimensions and of 'the Full Orthogonal Group.; 45, The Irreducible Representations of the Two-dimensional Rotation Group Z; 46. Classification of the irreducible Representations of Three-Dimensional Rotation Group; 47. The Matrix Elements of the Irreducible Representations.
- 48. Properties of the Irreducible Representations of the Rotation Group49. The Product of Representations of the Rotation Group; 50. Spinor Algebra; 51. Tensor Algebra; 52. Representations of the Pull Orthogonal Group; 53. Double-Valued Representations of Point Groups; Chapter XI. Clebsch-Gordan and Racah Coefficients; 54. Evaluation of the Clebsch-Gordan Coefficients; 55. Properties of the Clebsch-Gordan Coefficients; 56. Racah Coefficients; Chapter XII. The Schr�odinger Equation; 57. Conservation Laws; 58. Classification of States.