Modules / Lectures

Sl.No | Chapter Name | English |
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1 | Lecture 1 : Introduction I | Download Verified |

2 | Lecture 2 : Introduction II | Download Verified |

3 | Lecture 3 : Normal subgroup, Coset, Conjugate group | Download Verified |

4 | Lecture 4 : Factor group, Homomorphism, Isomorphism | Download Verified |

5 | Lecture 5 : Factor group, Homomorphism, Isomorphism | Download Verified |

6 | Lecture 6 : Conjugacy Classes | Download Verified |

7 | Lecture 7 : Permutation Groups | Download Verified |

8 | Lecture 8 : Cycle Structure | Download Verified |

9 | Lecture 9 : Cycle Structure Continued | Download Verified |

10 | Lecture 10 : Young Diagram and Molecular Symmetry | Download Verified |

11 | Lecture 11 : Point Groups | Download Verified |

12 | Lecture 12 : Symmetries of Molecules, Schoenflies Notation | Download Verified |

13 | Lecture 13 : Symmetries of Molecules, Stereographic Projection | Download Verified |

14 | Lecture 14 : Examples of Molecular Symmetries and Proof of Cayley Theorem | Download Verified |

15 | Lecture 15 : Matrix Representation of Groups - I | Download Verified |

16 | Lecture 16 : Matrix Representation of Groups - II | Download Verified |

17 | Lecture 17 : Reducible and Irreducible Representation - I | Download Verified |

18 | Lecture 18 : Reducible and Irreducible Representation - II | Download Verified |

19 | Lecture 19 : Great Orthogonality Theorem and Character Table - I | Download Verified |

20 | Lecture 20 : Great Orthogonality Theorem and Character Table - II | Download Verified |

21 | Lecture 21 : Mulliken Notation, Character Table and Basis | Download Verified |

22 | Lecture 22 : Tensor Product of Representation | Download Verified |

23 | Lecture 23 : Tensor Product and Projection Operator - I | Download Verified |

24 | Lecture 24 : Tensor Product and Projection Operator - II | Download Verified |

25 | Lecture 25 : Tensor Product and Projection Operator with an example | Download Verified |

26 | Lecture 26 : Binary Basis and Observables | Download Verified |

27 | Lecture 27 : Selection Rules | Download Verified |

28 | Lecture 28 : Selection Rules and Molecular Vibrations | Download Verified |

29 | Lecture 29 : Molecular vibration normal modes: Classical Mechanics approach | Download Verified |

30 | Lecture 30 : Molecular vibration normal modes: Group Theory approach | Download Verified |

31 | Lecture 31 : Molecular vibration modes using projection operator | Download Verified |

32 | Lecture 32 : Vibrational representation of character | Download Verified |

33 | Lecture 33 : Infrared Spectra and Raman Spectra | Download Verified |

34 | Lecture 34 : Introduction to continuous group | Download Verified |

35 | Lecture 35 : Generators of translational and rotational transformation | Download Verified |

36 | Lecture 36 : Generators of Lorentz transformation | Download Verified |

37 | Lecture 37 : Introduction to O(3) and SO(3) group | Download Verified |

38 | Lecture 38 : SO(n) and Lorentz group | Download Verified |

39 | Lecture 39 : Generalised orthogonal group and Lie algebra | Download Verified |

40 | Lecture 40 : Subalgebra of Lie algebra | Download Verified |

41 | Lecture 41 : gl(2,C) and sl(2,C) group | Download Verified |

42 | Lecture 42 : U(n) and SU(n) group | Download Verified |

43 | Lecture 43 : Symplectic group | Download Verified |

44 | Lecture 44 : SU(2) and SU(3) groups | Download Verified |

45 | Lecture 45 : Rank, weight and weight vector | Download Verified |

46 | Lecture 46 : Weight vector, root vector, comparison between SU(2) and SU(3) algebra. | Download Verified |

47 | Lecture 47 : Root diagram, simple roots, adjoint representation | Download Verified |

48 | Lecture 48 : SU(2) sub-algebra, Dynkin diagrams | Download Verified |

49 | Lecture 49 : Fundamental weights, Young diagrams, dimension of irreducible representation. | Download Verified |

50 | Lecture 50 : Young diagrams and tensor products | Download Verified |

51 | Lecture 51 : Tensor product, Wigner – Eckart theorem | Download Verified |

52 | Lecture 52 : Tensor product of irreducible representation 1: Composite objects from fundamental particles | Download Verified |

53 | Lecture 53 : Tensor product of irreducible representation 2: Decimet and octet diagrams in the Quark Model | Download Verified |

54 | Lecture 54 : Clebsch – Gordan coefficients | Download Verified |

55 | Lecture 55 : 1) Quadrupole moment tensor (Wigner-Eckart theorem) 2) Decimet Baryon wavefunction | Download Verified |

56 | Lecture 56 : Higher dimensional multiplets in the quark model | Download Verified |

57 | Lecture 57 : Symmetry breaking in continuous groups | Download Verified |

58 | Lecture 58 : Dynamical symmetry in hydrogen atom: SO(4) algebra | Download Verified |

59 | Lecture 59 : Hydrogen atom energy spectrum and degeneracy using Runge-Lenz vector | Download Verified |

Sl.No | Language | Book link |
---|---|---|

1 | English | Download |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |