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  Analytical Eletrodynamics 77401
  שנתון
  
Syllabus:
                 Spring 2017    Spring 2018 
  Lecture Notes

  
       Electrostatics
    1:    Coulomb and Gauss Laws                                                                                                               Extras
    2:    Green's Functions for Dirichlet and Neumann Boundary Conditions                                              Dirichlet problem: Examples
    3:    Green's Function for Sphere by the Method of Images                                                                    Graphical representation
of numerical solutions
    4:    Dirichlet Problem Outside the Sphere, Separtion of Variables in Cartesian Coordinates                
    5:    Separation of Variables in Spherical Coordinates
    6:    Green's Functions in Sperically Symmetric Problems A
    7:    Green's Functions in Sperically Symmetric Problems B
    8:    Problems with Cylindrical Symmetry
    9:    Green's Functions in Cylindrically Symmetric Problems
  10:    Green's Functions by  Eigenfunction Expansions

       Magnetostatics
    1:    Basic Laws and Vector Potential
    2:    Circular Current Loop
             Appendix
    3:    Magnetic Multipoles, Force, Torque, and Ampere's Theorem
             Appendix
    4:    Magnetic Matter A

       Radiation
    1:    Green's Function for the Wave Equation
             Appendix A
             Appendix B
    2:   Charge Moving at Constant  Speed
    3:   Conservation Laws
    4:   Radiation: 1)  Maxwell Equations in Lorentz Gauge, Wave Equation
                           2)  Green's Functions for the Wave Equation, Causaliy and Lorentz invariance.
                                Field of the Moving Charge Revisited from Retarded Potentials.
                           3) 
Long Wavelength Expansion: Dipole, Quadrupole and Magnetic Dipole Terms.

      Relativity   
   1:      Lorentz Transformation, Proper Time, Doppler Effect                                                                Notes on Analytical Mechanics
   2:      Addition of Velocity, Four-Vectors
   3:      Principle of Least Action, Relativistic Energy and Momentum, Angular Momentum
   4:      Charged Particle in Electromagentic Field. Antisymmetric Field-Strength Tensor
   5:      Gauge Invariance and Charge Conservation
   6:      Transformation Properties of Electromagnetic Field
   7:      4-Vector of Current density and Continuity Equation
   8:      Bilinear Invariants and second pair of Maxwell Equations