Class Diary for PHY 6346

Pl(0), expansion of step function. Sphere with two hemispheres at opposite potential. Legendre expansion of Green's function. Spherical Harmonics.
 Date       Notes
W 8/21  Classes Begin: Introduction, Administrivia. Begin Chapter 1, Coulomb's Law. Electric field of long wire.
F 8/23 Divergence of electric field. ∇⋅(x/r3); digression on δ-functions.
M 8/26 More properties of δ-functions. Gauss's Law ∇⋅E = ρ/ε0 ; ∇×E = 0
W 8/28 Potential E = −∇Φ, Poisson's equation ∇2Φ = −ρ/ε0. Potential of long wire, renormalization. Ideal conductors.
F 8/30 Electrostatic energy. Capacitance.
M 9/2 Labor Day (no class)
W 9/4 Green's identities. Uniqueness theorem. Green's functions, Dirichlet and Neumann boundary conditions. Symmetry.
F 9/6 Begin Chapter 2. Images in a plane, Green's function for { z > 0 }. Images in a sphere.
M 9/9 Green's function for a sphere. Two hemispheres held at opposite potential, exact solution on-axis.
W 9/11 Separation of variables in Cartesian coordinates.
F 9/13 Cube with one face at V0 Fourier sine series for δ(xx'). Begin Green's function for a square.
M 9/16 Green's function for a square.
F 9/18 Polar coordinates. Divided cylinder, summing the series.
W 9/20 Harmonic functions
M 9/23 (Guest lecturer Richard Woodard) Begin Chapter 3, Separation of variables in spherical coordinates. Legendre's equation, Legendre functions.
W 9/25 Legendre polynomials: Rodrigues' formula. Orthogonality,
F 9/27 Integral normalization, Beta functions. Recursions. Pl(cosθ), scaling.
M 9/30
W 10/2 Addition theorem for spherical harmonics. Green's function for space between two spheres.
F 10/4 Green's function between two spheres. Charged line segment within grounded sphere.
M 10/7 Bessel functions. Asymototic behavior, series solution.
W 10/9 Bessel functions, Neumann functions, Hankel functions. Recursions, zeroes.
F 10/11 Bessel expansion of step function. Continuum domain. Bessel expansion of Green's function.
W 10/17 Begin Chapter 4, Multipole expansion. Midterm Exam (8:00 pm)
F 11/8 Homecoming (no class)
M 11/11 Veteran's Day (no class)
M 11/25 Gravasco Workshop
W 11/27, F 11/29 Thanksgiving break (no class)
W 12/4 Last day of class.
W 12/11 Final Exam, 12:30–2:30pm (Exam Period 11C)