Semiclassical analysis of quantum maps with spin orbit coupling

Abstract

This thesis is concerned with semiclassical approximations in non-relativistic quantum mechanics. It focuses on the treatment of particles with spin in the combined semiclassical limit, i.e. in the limit of the Planck constant approaching zero and the size of the spin approaching infinity. A formula for an approximation to the propagation of coherent states is proven including an error estimate, which is then used to derive a Gutzwiller trace formula for the model of quantum maps on the torus.