The mathematical intuition for Quantum Mechanics and Quantum field theory
How to (intuitively) derive the Schrodinger’s equation from the classical theory
Quantum operators
Quantum states
Importance of commutators
Derivation of Heisenberg Uncertainty Principle
Unitary operators
Quantum Tunneling
Energy Spectrum of the hydrogen atom
How to quantize a Classical Field theory
Klein Gordon equation
Wick’s theorem
Time ordering
Normal ordering
Noether’s theorem
Properties of the infinitesimal Lorentz transformation
Spectrum of the Hamiltonian
Scattering cross-section
Annihilation and creation operators
Causality in quantum field theories
Ground state
Green functions
Schrodinger’s picture
Heisenberg’s picture
Interaction picture
Theory of Fermions
Theory of Bosons
Dirac equation
Interacting Field theory
Feynman diagrams
Anomalous magnetic moment