Physics II

Syllabus and lecture notes

1. Quantum mechanics
   1. Hilbert spaces
      1. Kets, bras, conjugation and contraction
      2. Linear operators
      3. Eigenspaces
      4. Quantum interpretation
   2. Heisenberg mechanics
      1. Commutation relations
      2. Equations of motion
      3. Free non-relativistic particle
      4. Simple harmonic oscillator
   3. Shrodinger picture
      1. Shrodinger's equation
      2. Wave function
      3. Free non-relativistic particle
      4. Simple harmonic oscillator
   4. Classical physics
      1. Inverted harmonic oscillator
      2. Many worlds and the Copenhagen experience
2. Electrodynamics
   1. Tensor fields
      1. Exterior derivative
      2. Integration
      3. Stokes' theorem
   2. Maxwell's equations
      1. Relativistic particle and field
      2. Electromagnetic field
      3. Electromagnetic flux
      4. Permittivity and permeability
   3. Examples
      1. Electric dipole
      2. Current loop