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