THE SEMINAR

THEORY OF DUALITY

DEPARTMENT OF MATHEMATICAL METHODS IN PHYSICS



On the 6th of November 2014, at 10:15 a.m.

Lyonell Boulton (Department of Mathematics, Heriot-Watt University, Edinburgh)

will give a talk on

"Bounds for the eigenvalues
of the angular Kerr–Newman Dirac operator"


Abstract
In this talk I will describe how to compute sharp intervals of enclosure for the eigenvalues of matrix differential operators with singular coefficients. My main concern will be the angular Kerr–Newman Dirac operator with the possible addition of a smooth perturbation. For the unperturbed model I will show how to validate existing benchmarks as well as how to sharpen them by several orders of magnitude. As a main tool I will employ a pollution-free Galerkin-type method known as the quadratic method. The research is based on recent joint work with Monika Winklmeier.

The seminar takes place on Thursdays from 10:15 a.m. to 12:00 in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5, Warszawa.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.