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The application of group theory in physics

Author: G I︠U︡ Li︠u︡barskiĭ; Stevan Dedijer
Publisher: New York : Pergamon Press, 1960.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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The Application of Group Theory in Physics.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Li︠u︡barskiĭ, G. I︠A︡. (Grigoriĭ I︠A︡kovlevich).
Application of group theory in physics.
Oxford; New York : Pergamon Press, 1960
(DLC) 59015292
(OCoLC)1330217
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G I︠U︡ Li︠u︡barskiĭ; Stevan Dedijer
ISBN: 9781483225982 1483225984
OCLC Number: 893571969
Description: 1 online resource
Contents: 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 Schrödinger Equation; 57. Conservation Laws; 58. Classification of States.
Other Titles: Teorii︠a︡ grupp i ee primenenie v fizike.
Responsibility: G. Ya. Lyubarskii ; translates from the Russian by Stevan Dedijer.

Abstract:

The Application of Group Theory in Physics.

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