[Download] Math Intuition for Quantum Mechanics & Quantum Field Theory For Free
What you’ll learn
- 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
Requirements
- Special Relativity (for Quantum Field Theory)
- Fourier Series and Transforms
- Multivariable Calculus
- Tensors (for Quantum Field Theory)
- Complex calculus (for Quantum Field Theory)
- Classical Physics
- Probability theory (distributions, probability densities, etc.)
Who this course is for:
- Students who desire to develop mathematical intuition for Quantum mechanics and Quantum Field theory