Teorijski opis eksperimenta s dvije pukotine u supravodiču i veza s Bohmovom mehanikom
Josip Atelj
Abstract
In this thesis we will describe theoretically a current in a superconductor on the basis of phenomenological Ginzburg-Landau equation. We will show that, in a suitable approximation, current streamlines have the same form as the Bohmian trajectories of the point-like current-carriers. Although Heisenberg inequalities prevents us from directly measuring these trajectories, we can use a Hall probe to measure a current in a superconductor and arrive at the measurements which are, in a way, averaged over a large number of particles. The experiment is envisioned on a planar superconductor having a barrier and two slits. In this case both wave and particle properties are clearly present, i.e. intereference which is manifested in particle trajectories. By measuring these quantities it would be seen how a macroscopic current exibits wave-particle properties and we would thus acquire an additional confirmation that the concept of Bohmian trajectories is not merely a hyphotethical one, but that they are, in some sense, measurable in a laboratory.