emlectures1 - UFIFT-HEP-10- Classical Electrodynamics...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: UFIFT-HEP-10- Classical Electrodynamics Charles B. Thorn 1 Institute for Fundamental Theory Department of Physics, University of Florida, Gainesville FL 32611 Abstract 1 E-mail address: thorn@phys.ufl.edu Contents 1 Introduction 4 1.1 The Field Concept . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Maxwells equations: Field Equations of Motion. . . . . . . . . . . . . . . . . 4 1.3 Heaviside-Lorentz (HL) Units . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Physical meaning of Maxwells equations . . . . . . . . . . . . . . . . . . . . 5 1.5 Charge conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.6 Potentials and Gauge Invariance . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Electrostatics 8 2.1 Point charge and the Dirac delta function . . . . . . . . . . . . . . . . . . . 8 2.2 Interfaces between different materials . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Uniqueness of electrostatic solutions, Greens theorem . . . . . . . . . . . . . 10 2.4 Green functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.5 Electrostatic energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.6 Capacitance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3 Electrostatic Boundary-Value problems 13 3.1 Method of Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2 Method of Separation of Variables . . . . . . . . . . . . . . . . . . . . . . . . 15 3.3 Angle Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.4 Problems with Azimuthal Symmetry . . . . . . . . . . . . . . . . . . . . . . 21 3.5 Green function between two concentric spheres . . . . . . . . . . . . . . . . . 23 3.6 Conductors with a Conical Singularity . . . . . . . . . . . . . . . . . . . . . 25 3.7 Cylindrical Coordinates and Bessel functions . . . . . . . . . . . . . . . . . . 26 3.8 Mathematical Properties of Bessel Functions . . . . . . . . . . . . . . . . . . 28 3.9 Boundary-value problems in cylindrical coordinates . . . . . . . . . . . . . . 31 3.10 Green functions in cylindrical coordinates . . . . . . . . . . . . . . . . . . . . 32 3.11 A little more wisdom about Green functions . . . . . . . . . . . . . . . . . . 33 3.12 Electrostatics in 2 Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4 The Multipole expansion and Dielectric Materials 39 4.1 Electric Multipoles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 4.2 Electrostatics in Dielectric Materials . . . . . . . . . . . . . . . . . . . . . . 42 4.3 Energy and Forces on Dielectrics . . . . . . . . . . . . . . . . . . . . . . . . 43 4.4 Boundary value problems with dielectrics . . . . . . . . . . . . . . . . . . . . 45 4.5 Models for e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 5 Magnetostatics 50 5.1 Circular Current Loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Circular Current Loop ....
View Full Document

Page1 / 83

emlectures1 - UFIFT-HEP-10- Classical Electrodynamics...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online