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Quantum EngineeringYear 0: Mathematical FoundationsMonth 8Day 213

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Year 0·Month 8·Week 3

Day 213: Complete Maxwell's Equations

Day 213 of 2,016~18 min read

Learning Objectives

  • •**State all four Maxwell equations** in both differential and integral forms
  • •**Explain the physical meaning** of each equation and its role in electromagnetism
  • •**Identify symmetries** between electric and magnetic fields in Maxwell's equations
  • •**Derive boundary conditions** at interfaces from Maxwell's equations
  • •**Write Maxwell's equations in matter** using D, H, P, and M fields
  • •**Connect Maxwell's equations** to the quantum field theory of photons

Today's Schedule (7 hours)

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On this page

1 Maxwells Equations The Complete SetGausss Law for ElectricityGausss Law for MagnetismFaradays LawAmpre-Maxwell Law2 The Structure of Maxwells Equations3 Electric-Magnetic Symmetry Duality4 The Continuity Equation5 Boundary Conditions6 Maxwells Equations in Matter7 Potential Formulation8 Covariant Formulation PreviewQuantum Mechanics ConnectionQuantization of the Electromagnetic FieldThe QED LagrangianGauge InvarianceVacuum Energy
Day 212Day 213 of 2,016Day 214