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Mod-01 Lec-01 Introduction, The Klein-Gordon equation
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Quantum Mechanics Lectures
Mod-01 Lec-01 Introduction, The Klein-Gordon equation
Mod-01 Lec-02 Particles and antiparticles, Two component framework
Mod-01 Lec-03 Coupling to electromagnetism, Solution of the Coulomb problem
Mod-01 Lec-04 Bohr-Sommerfeld semiclassical solution of the Coulomb problem, The Dirac equation
Mod-01 Lec-05 Dirac matrices, Covariant form of the Dirac equation, Equations of motion
Mod-01 Lec-06 Electromagnetic interactions, Gyromagnetic ratio
Mod-01 Lec-07 The Hydrogen atom problem, Symmetries, Parity, Separation of variables
Mod-01 Lec-08 The Frobenius method solution, Energy levels and wavefunctions
Mod-01 Lec-09 Non-relativistic reduction, The Foldy-Wouthuysen transformation
Mod-01 Lec-10 Interpretation of relativistic corrections, Reflection from a potential barrier
Mod-01 Lec-11 The Klein paradox, Pair creation process and examples
Mod-01 Lec-12 Zitterbewegung, Hole theory and antiparticles
Mod-01 Lec-13 Charge conjugation symmetry, Chirality, Projection operators, The Weyl equation
Mod-01 Lec-14 Weyl and Majorana representations of the Dirac equation
Mod-01 Lec-15 Time reversal symmetry, The PCT invariance
Mod-01 Lec-16 Arrow of time and particle-antiparticle asymmetry, Band theory for graphene
Mod-01 Lec-17 Dirac equation structure of low energy graphene states, Relativistic signatures
Mod-02 Lec-18 Groups and symmetries, The Lorentz and Poincare groups
Mod-02 Lec-19 Group representations, generators and algebra, Translations, rotations and boosts
Mod-02 Lec-20 The spinor representation of SL(2,C), The spin-statistics theorem
Mod-02 Lec-21 Finite dimensional representations of the Lorentz group, Euclidean and Galilean groups
Mod-02 Lec-22 Classification of one particle states, The little group, Mass, spin and helicity
Mod-02 Lec-23 Massive and massless one particle states
Mod-02 Lec-24 P and T transformations, Lorentz covariance of spinors
Mod-02 Lec-25 Lorentz group classification of Dirac operators, Orthogonality and completeness
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