Path integral derivation of magnus force in supercondictivity

Abstract

In this thesis we derive the magnus force from a model system consisting of a single vortex imbedded in uniform positive background that is coupled with a mutual interaction charged boson. The effective action of a single vortex is obtained by eliminating the charged boson degree of freedom. It is shown that the resulting effective action can be used to derive the Feynman-Hellmann force. From the ground state contribution we obtain the magnus force. We also show that the existence of the magnus force is an effect of the transition amplitude of the suprecurrent and is independent on the effect of environment.