Teorijski opis eksperimenta s dvije pukotine u supravodiču i veza s Bohmovom mehanikom

master's thesis

• Title (english): Theoretical description of the two slit experiment in a superconductor and the relation with Bohmian mechanics
• Author: Josip Atelj
• Mentor: Hrvoje Nikolić (mentor)
• Mentor: Dubravko Klabučar (komentor)
• Committee member: Dubravko Klabučar (predsjednik povjerenstva)
• Committee member: Hrvoje Nikolić (član povjerenstva)
• Committee member: Matko Milin (član povjerenstva)
• Committee member: Davor Horvatić (član povjerenstva)
• Committee member: Željko Skoko (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2020-09-30, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

U ovom radu teorijski ćemo opisati struju u supravodiču temeljem fenomenološke Ginzburg-Landauove jednažbe. Pokazat ćemo da silnice struje u određenoj aproksimaciji imaju istu formu kao i Bohmove putanje čestica koje nose struju. Premda nam Heisenbergove nejednakosti ne dopuštaju neposredno mjerenje tih putanja, ovim putem možemo Hallovom probom mjeriti struju u supravodiču te dobiti svojevrsno usrednjenje preko ogromnog broja čestica. Eksperiment je zamišljen na pločastom supravodiču koji ima barijeru i dvije pukotine. U tom slučaju jasno su prisutna svojstva vala, tj. interferencija koja se preslikava na putanju čestica. Mjerenjem navedenih veličina pokazali bismo valnočestična svojstva makroskopske struje te dobili dodatnu potvrdu da koncept Bohmovih putanja nije čisto hipotetski već da su one na neki način mjerljive u laboratoriju.

Abstract (english)

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.

• Keywords: supravodljivost; Ginzburg-Landauova teorija; Bohmova mehanika
• Keywords (english): superconductivity; Ginzburg-Landau Theory; Bohmian Mechanics
• Language: croatian
• URN:NBN: urn:nbn:hr:217:979218
• Study programme: Title: Physics; specializations in: Research; Course: Research; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-01-04 13:40:15