Some Write-Ups

These are some rather old write-ups of things which were once of interest to me...

This short document provides an overview of the current state of affairs concerning the forces excerpted by electromagnetic fields on spherical particles. 3 different methods are described (Radiative momentum balance, Maxwell-Stress-Tensor and the Dipole-Approximation + force density) and the Abraham-Minkowski controversy as well as the dispute between A. Rohrbach and P. C. Chaumet are reviewed.
Bernoulli Numbers, Riemann Zeta-function & Trigonometric Series Representations
Notes on the famous Bernoulli numbers... They appear in the series representations of several trigonometric functions. Also, a relation to the Riemann Zeta function for even integers is derived.
Bernoulli.pdf
Curvilinear coordinates
Extensive notes and derived expressions for curvilinear coordinates
LaplaceFinal.pdf