عنوان

Topics in contemporary mathematical physics /

9789812384041

9812384049

b424294

Topics in contemporary mathematical physics /

[Book]

Kai S. Lam

xii, 604 pages :

illustrations ;

26 cm

Includes bibliographical references (pages 585-587) and index

1. Vectors and Linear Transformations -- 2. Tensors -- 3. Symmetry and Conservation: the Angular Momentum -- 4. The Angular Momentum as Generators of Rotations: Lie Groups and Lie Algebras -- 5. Algebraic Structures -- 6. Basic Group Concepts -- 7. Basic Lie Algebra Concepts -- 8. Inner Products, Metrics, and Dual Spaces -- 9. SO(4) and the Hydrogen Atom -- 10. Adjoints and Unitary Transformations -- 11. The Lorentz Group and SL(2,C) -- 12. The Dirac Bracket Notation in Quantum Theory -- 13. The Quantum Mechanical Simple Harmonic Oscillator -- 14. Fourier Series and Fourier Transforms, the Dirac Delta Function, Green's Functions -- 15. The Continuous Spectrum and Non-normalizable States -- 16. Skew-Symmetric Tensors and Determinants -- 17. Eigenvalue Problems -- 18. Group Representation Theory -- 19. The Dihedral Group D6 and the Benzene Molecule --20. Representations of the Symmetric Groups and the General Linear Groups, Young Diagram -- 21. Irreducible Representations of U(n), SL(n), SU(n) and O(n) -- 22. Irreducible Representations of SU(2) and SO(3) -- 23. The Spherical Harmonics -- 24. The Structure of Semisimple Lie Algebras -- 25. The Representations of Semisimple Lie Algebras -- 26. SU(3) and the Strong Interaction -- 27. Clifford Algebras -- 28. Exterior Products -- 29. The Hodge-Star Operator -- 30. Differential Forms and Exterior Differentiation -- 31. Moving Frames and Curvilinear Coordinates in R3 -- 32. Integrals of Differential Forms and the Stokes Theorem -- 33. Homology and De Rham Cohomology -- 34. The Geometry of Lie Groups -- 35. Connections and Curvatures on a Vector Bundle -- 36. Yang-Mills Equations -- 37. Connections on a Principal Bundle -- 38. Magnetic Monopoles and Molecular Dynamics -- 39. Riemannian Geometry -- 40. Complex Manifolds -- 41. Characteristic Classes -- 42. Chern-Simons Forms -- 43. The Atiyay-Singer Index Theorem -- 44. Symplectic Structures and Hamiltonian Mechanics

0

Contemporary mathematical physics

Mathematical physics

Lam, Kai S., (Kai Shue),1949-

20160712072206.0

[Book]

Y