Modules / Lectures

Name | Download | Download Size |
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Lecture Note | Download as zip file | 19M |

Module Name | Download | Description | Download Size |
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Klein-Gordon and Dirac Equations | Exercises for whole course | Exercises for whole course | 60 |

Sl.No | Chapter Name | English |
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1 | Introduction, The Klein-Gordon equation | PDF unavailable |

2 | Particles and antiparticles, Two component framework | PDF unavailable |

3 | Coupling to electromagnetism, Solution of the Coulomb problem | PDF unavailable |

4 | Bohr-Sommerfeld semiclassical solution of the Coulomb problem, The Dirac equation and the Clifford algebra | PDF unavailable |

5 | Dirac matrices, Covariant form of the Dirac equation, Equations of motion, Spin, Free particle solutions | PDF unavailable |

6 | Electromagnetic interactions, Gyromagnetic ratio | PDF unavailable |

7 | The Hydrogen atom problem, Symmetries, Parity, Separation of variables | PDF unavailable |

8 | The Frobenius method solution, Energy levels and wavefunctions | PDF unavailable |

9 | Non-relativistic reduction, The Foldy-Wouthuysen transformation | PDF unavailable |

10 | Interpretation of relativistic corrections, Reflection from a potential barrier | PDF unavailable |

11 | The Klein paradox, Pair creation process and examples | PDF unavailable |

12 | Zitterbewegung, Hole theory and antiparticles | PDF unavailable |

13 | Charge conjugation symmetry, Chirality, Projection operators, The Weyl equation | PDF unavailable |

14 | Weyl and Majorana representations of the Dirac equation, Unitary and antiunitary symmetries | PDF unavailable |

15 | Time reversal symmetry, The PCT invariance | PDF unavailable |

16 | Arrow of time and particle-antiparticle asymmetry, Band theory for graphene | PDF unavailable |

17 | Dirac equation structure of low energy graphene states, Relativistic signatures in graphene properties | PDF unavailable |

18 | Groups and symmetries, The Lorentz and Poincare groups | PDF unavailable |

19 | Group representations, generators and algebra, Translations, rotations and boosts | PDF unavailable |

20 | The spinor representation of SL(2,C), The spin-statistics theorem | PDF unavailable |

21 | Finite dimensional representations of the Lorentz group, Euclidean and Galilean groups | PDF unavailable |

22 | Classification of one particle states, The little group, Mass, spin and helicity | PDF unavailable |

23 | Massive and massless one particle states | PDF unavailable |

24 | P and T transformations, Lorentz covariance of spinors | PDF unavailable |

25 | Lorentz group classification of Dirac operators, Orthogonality and completeness of Dirac spinors, Projection operators | PDF unavailable |

26 | Propagator theory, Non-relativistic case and causality | PDF unavailable |

27 | Relativistic case, Particle and antiparticle contributions, Feynman prescription and the propagator | PDF unavailable |

28 | Interactions and formal perturbative theory, The S-matrix and Feynman diagrams | PDF unavailable |

29 | Trace theorems for products of Dirac matrices | PDF unavailable |

30 | Photons and the gauge symmetry | PDF unavailable |

31 | Abelian local gauge symmetry, The covariant derivative and invariants | PDF unavailable |

32 | Charge quantisation, Photon propagator, Current conservation and polarisations | PDF unavailable |

33 | Feynman rules for Quantum Electrodynamics, Nature of perturbative expansion | PDF unavailable |

34 | Dyson's analysis of the perturbation series, Singularities of the S-matrix, Elementary QED processes | PDF unavailable |

35 | The T-matrix, Coulomb scattering | PDF unavailable |

36 | Mott cross-section, Compton scattering | PDF unavailable |

37 | Klein-Nishina result for cross-section | PDF unavailable |

38 | Photon polarisation sums, Pair production through annihilation | PDF unavailable |

39 | Unpolarised and polarised cross-sections | PDF unavailable |

40 | Helicity properties, Bound state formation | PDF unavailable |

41 | Bound state decay, Non-relativistic potentials | PDF unavailable |

42 | Lagrangian formulation of QED, Divergences in Green's functions, Superficially divergent 1-loop diagrams and regularisation | PDF unavailable |

43 | Infrared divergences due to massless particles, Renormalisation and finite physical results | PDF unavailable |

44 | Symmetry constraints on Green's functions, Furry's theorem, Ward-Takahashi identity, Spontaneous breaking of gauge symmetry and superconductivity | PDF unavailable |

45 | Status of QED, Organisation of perturbative expansion, Precision tests | PDF unavailable |

Sl.No | Language | Book link |
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1 | English | Not Available |

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 |