Learn · Quantum Mechanics in the Relativistic Regime
Lecture 40 of 62Week 8 Majorana Fermions: Fundamental Properties and Conditions
Properties of Majorana Fermions - I
Prof. Sudhir Kumar Vempati · IISc Bangalore
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All the lectures
- Recap of NRQM
- Finite Step Potential: Schrodinger equation solution
- Properties of wavefunction
- Matrix Mechanics
- Basics of STR
- Natural Units
- Relativistic effects in Quantum Mechanics
- Building Relativistic Wave Theories
- Solutions to the KG equation
- Introduction to Relativistic Lagrangian
- Scalar Quantum Electrodynamics (SQED)
- Non-Relativistic Limit of the KG Equation: The Schrodinger Equation
- Revisiting KG Equation's Negative Energy Solutions
- Klein Paradox
- Scalar Quantum Electrodynamics (SQED)
- Dirac Theory
- Dirac Equation and its solution
- Dirac Spinors
- Properties of Spinor
- Group Theory
- Rotation Groups and their Properties
- Lie Group and Lorentz Boost
- Group Representations - I
- Group Representations – II
- Symmetry and Isomorphism
- Lorentz Group - I
- Lorentz Group – II
- Decomposition of Lorentz Group
- Boost and Rotation Generators
- Poincare Group
- Representations of Poincare group
- Solution of Dirac equation
- Properties of Dirac Spinors and Probability Currents
- Parity Violation and Axial Currents
- Dirac interpretation for Negative Energy states
- Dirac Hole Theory
- Properties and Interpretations of Anti-Particle
- Solutions of Massless Dirac Equation
- Real Solutions of Dirac Equation
- Properties of Majorana Fermions - I
- Properties of Majorana Fermions – II
- Examples of Majorana Fermions in different systems
- Propagator Theory – I
- Propagator Theory – II
- Green’s Functions as Propagators
- Solving for Green’s function
- Photon Propagator
- KG Propagator and its Properties
- Scattering in SQED
- Pion-Pion Scattering Channels
- Pion-Pion Matrix Amplitude
- Dirac Propagator and its Properties
- Dyson equation and series
- QED (Compton Scattering)
- Dynamical Photon field processes
- Employing trace theorems to calculate matrix element
- Tree level QED processes
- Pion mediated Processes
- Loops and Renormalization
- Bound states in RQM
- Non-relativistic reduction of Dirac equation
- Relativistic Corrections to H atom