Physics Derivations

Physics

Mathematics

Integration

Physics Ideas

  • Spherical Method of Images
  • Complex Poynting Vector
  • Multipole Expansion
  • Outer Product Identity Operator
  • Group Velocity
  • EM waves are transverse
  • EM waves travel at c
  • Orbits are stable
  • Uncertainty Principle
  • Energy density in fields
  • Larmor Formula
  • Energy of a capacitor
  • Poynting's Theorem (Griffiths)
  • Equipartition Theorem (Reif)
  • Pauli Exclusion Principle (Reif Pg 333)
  • Liouville's Theorem (Marion & Thornton)
  • Boltzmann Distribution
  • Reconcile Lorentz Transformation Definitions

Mathematics Ideas

  • Harmonic Addition Theorem
  • DeMoivre's Theorem
  • Divergence Theorem
  • Stokes' Theorem
  • Laplacian Solutions
  • Component-based vector calculus
  • When can you invert derivatives?
  • Lagrange Multipliers
  • Similar matrices have same trace
  • Similarity transformation moves into exponent
  • Linear Algebra Theorem 2.23
  • Poisson Summation Formula