# Relativistic Quantum Mechanics - Institution: IISc Bangalore - Department: Physics - Teacher: Prof. Apoorva D Patel - Level: Undergraduate - Language: English - Subjects: Physics - Source: [NPTEL](https://nptel.ac.in/courses/115108074) - Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.) - Syllabus: [at the source](https://nptel.ac.in/courses/115108074) - Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words) ## Lectures 1. [Introduction, The Klein-Gordon equation](https://invisiblenetwork.ai/learn/nptel/115108074/7e39b66aae71) (Video) 2. [Particles and antiparticles, Two component framework](https://invisiblenetwork.ai/learn/nptel/115108074/ca7f135530f4) (Video) 3. [Coupling to electromagnetism, Solution of the Coulomb problem](https://invisiblenetwork.ai/learn/nptel/115108074/82a44cff3132) (Video) 4. [Bohr-Sommerfeld semiclassical solution of the Coulomb problem, The Dirac equation and the Clifford algebra](https://invisiblenetwork.ai/learn/nptel/115108074/816f5a63cf16) (Video) 5. [Dirac matrices, Covariant form of the Dirac equation, Equations of motion, Spin, Free particle solutions](https://invisiblenetwork.ai/learn/nptel/115108074/cf414dacbde5) (Video) 6. [Electromagnetic interactions, Gyromagnetic ratio](https://invisiblenetwork.ai/learn/nptel/115108074/d87881cd9e84) (Video) 7. [The Hydrogen atom problem, Symmetries, Parity, Separation of variables](https://invisiblenetwork.ai/learn/nptel/115108074/f2d7b1b9a647) (Video) 8. [The Frobenius method solution, Energy levels and wavefunctions](https://invisiblenetwork.ai/learn/nptel/115108074/9125d275e59f) (Video) 9. [Non-relativistic reduction, The Foldy-Wouthuysen transformation](https://invisiblenetwork.ai/learn/nptel/115108074/07bd9154c3d0) (Video) 10. [Interpretation of relativistic corrections, Reflection from a potential barrier](https://invisiblenetwork.ai/learn/nptel/115108074/e7668014cc84) (Video) 11. [The Klein paradox, Pair creation process and examples](https://invisiblenetwork.ai/learn/nptel/115108074/c485d63edbba) (Video) 12. [Zitterbewegung, Hole theory and antiparticles](https://invisiblenetwork.ai/learn/nptel/115108074/178d1f259dc0) (Video) 13. [Charge conjugation symmetry, Chirality, Projection operators, The Weyl equation](https://invisiblenetwork.ai/learn/nptel/115108074/938ca1e11227) (Video) 14. [Weyl and Majorana representations of the Dirac equation, Unitary and antiunitary symmetries](https://invisiblenetwork.ai/learn/nptel/115108074/6ea27b799108) (Video) 15. [Time reversal symmetry, The PCT invariance](https://invisiblenetwork.ai/learn/nptel/115108074/638dd45b047d) (Video) 16. [Arrow of time and particle-antiparticle asymmetry, Band theory for graphene](https://invisiblenetwork.ai/learn/nptel/115108074/868982c26c3d) (Video) 17. [Dirac equation structure of low energy graphene states, Relativistic signatures in graphene properties](https://invisiblenetwork.ai/learn/nptel/115108074/1845202f7628) (Video) 18. [Groups and symmetries, The Lorentz and Poincare groups](https://invisiblenetwork.ai/learn/nptel/115108074/6d8950224240) (Video) 19. [Group representations, generators and algebra, Translations, rotations and boosts](https://invisiblenetwork.ai/learn/nptel/115108074/fcd6f392986e) (Video) 20. [The spinor representation of SL(2,C), The spin-statistics theorem](https://invisiblenetwork.ai/learn/nptel/115108074/67653b6a31b5) (Video) 21. [Finite dimensional representations of the Lorentz group, Euclidean and Galilean groups](https://invisiblenetwork.ai/learn/nptel/115108074/54127b15b622) (Video) 22. [Classification of one particle states, The little group, Mass, spin and helicity](https://invisiblenetwork.ai/learn/nptel/115108074/c92096eb916f) (Video) 23. [Massive and massless one particle states](https://invisiblenetwork.ai/learn/nptel/115108074/b6e5ade1c173) (Video) 24. [P and T transformations, Lorentz covariance of spinors](https://invisiblenetwork.ai/learn/nptel/115108074/891f48b04116) (Video) 25. [Lorentz group classification of Dirac operators, Orthogonality and completeness of Dirac spinors, Projection operators](https://invisiblenetwork.ai/learn/nptel/115108074/2649dec8fd6c) (Video) 26. [Propagator theory, Non-relativistic case and causality](https://invisiblenetwork.ai/learn/nptel/115108074/bb49b44c8d5b) (Video) 27. [Relativistic case, Particle and antiparticle contributions, Feynman prescription and the propagator](https://invisiblenetwork.ai/learn/nptel/115108074/ad55c2e1edc8) (Video) 28. [Interactions and formal perturbative theory, The S-matrix and Feynman diagrams](https://invisiblenetwork.ai/learn/nptel/115108074/8f7b7cf6f08b) (Video) 29. [Trace theorems for products of Dirac matrices](https://invisiblenetwork.ai/learn/nptel/115108074/d679f63274bb) (Video) 30. [Photons and the gauge symmetry](https://invisiblenetwork.ai/learn/nptel/115108074/17d2ef09fbb9) (Video) 31. [Abelian local gauge symmetry, The covariant derivative and invariants](https://invisiblenetwork.ai/learn/nptel/115108074/397b3dbf28c8) (Video) 32. [Charge quantisation, Photon propagator, Current conservation and polarisations](https://invisiblenetwork.ai/learn/nptel/115108074/35558edb13a6) (Video) 33. [Feynman rules for Quantum Electrodynamics, Nature of perturbative expansion](https://invisiblenetwork.ai/learn/nptel/115108074/8af8c15990ce) (Video) 34. [Dyson's analysis of the perturbation series, Singularities of the S-matrix, Elementary QED processes](https://invisiblenetwork.ai/learn/nptel/115108074/b294893d374d) (Video) 35. [The T-matrix, Coulomb scattering](https://invisiblenetwork.ai/learn/nptel/115108074/cfb126388e68) (Video) 36. [Mott cross-section, Compton scattering](https://invisiblenetwork.ai/learn/nptel/115108074/450b0c18552d) (Video) 37. [Klein-Nishina result for cross-section](https://invisiblenetwork.ai/learn/nptel/115108074/841d20a3735d) (Video) 38. [Photon polarisation sums, Pair production through annihilation](https://invisiblenetwork.ai/learn/nptel/115108074/23dbb55c967c) (Video) 39. [Unpolarised and polarised cross-sections](https://invisiblenetwork.ai/learn/nptel/115108074/009a05295c47) (Video) 40. [Helicity properties, Bound state formation](https://invisiblenetwork.ai/learn/nptel/115108074/8cf754133b47) (Video) 41. [Bound state decay, Non-relativistic potentials](https://invisiblenetwork.ai/learn/nptel/115108074/223388b3ea90) (Video) 42. [Lagrangian formulation of QED, Divergences in Green's functions, Superficially divergent 1-loop diagrams and regularisation](https://invisiblenetwork.ai/learn/nptel/115108074/c69174225fb8) (Video) 43. [Infrared divergences due to massless particles, Renormalisation and finite physical results](https://invisiblenetwork.ai/learn/nptel/115108074/dcee8f8cc4f1) (Video) 44. [Symmetry constraints on Green's functions, Furry's theorem, Ward-Takahashi identity, Spontaneous breaking of gauge symmetry and superconductivity](https://invisiblenetwork.ai/learn/nptel/115108074/b403d229c9af) (Video) 45. [Status of QED, Organisation of perturbative expansion, Precision tests](https://invisiblenetwork.ai/learn/nptel/115108074/774eb7df93c9) (Video)