In this thesis we study mathematical aspects of BCS theory and its connection to Ginzburg-Landau theory. Furthermore we investigate the exponential decay of solutions to the Kac master equation. A full abstract is contained ...
In this thesis the time dependent Schrödinger equation is considered on a Riemannian manifold A with a potential that localizes a certain class of states close to a fixed submanifold C, the constraint manifold. When the ...