Math Intuition for Quantum Mechanics & Quantum Field Theory For Free

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 Math Intuition for Quantum Mechanics & Quantum Field Theory For Free

sunmanbee

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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
 

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