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master's thesis
Hopfov svežanj i elektromagnetsko polje
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:045885
Vuković, Ivana
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Vuković, I. (2016). Hopfov svežanj i elektromagnetsko polje (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:045885

Vuković, Ivana. "Hopfov svežanj i elektromagnetsko polje." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:045885

Vuković, Ivana. "Hopfov svežanj i elektromagnetsko polje." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:045885

Vuković, I. (2016). 'Hopfov svežanj i elektromagnetsko polje', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:045885

Vuković I. Hopfov svežanj i elektromagnetsko polje [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:045885

I. Vuković, "Hopfov svežanj i elektromagnetsko polje", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:045885

Metadata
TitleHopfov svežanj i elektromagnetsko polje
Title (english)Hopf bundles and electromagnetic field
AuthorIvana Vuković
MentorDavor Horvatić (mentor)
Committee memberDavor Horvatić (predsjednik povjerenstva)
Committee memberIvica Picek (član povjerenstva)
Committee memberMihael Makek (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2016-01-11, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Baždarne interakcije formalno su opisane jezikom svežnjeva. Među njima posebno zanimljiv primjer je Hopfov svežanj S1 → S3 → S2, u kojem su vlakno, totalni prostor i bazna mnogostrukost redom sfere. Ovaj svežanj predstavlja geometrijsku pozadinu više fizikalnih fenomena. U ovom radu ćemo detaljnije analizirati dva takva primjera: elektromagnetske čvorove i magnetske monopole. Nakon uvodnih poglavlja o Maxwellovim jednadžbama i Hopfovom svežnju, biti će detaljno izložene konstrukcije spomenutih elektromagnetskih polja. U završnom poglavlju ćemo dati kraći pregled eksperimentalnih potraga za magnetskim monopolima te osnovnih prijedloga generiranja elektromagnetskih čvorova.
Abstract (english)
Gauge interaction’s formal description is that of fibre bundles. A particularly interesting example is the Hopf fibre bundle S1 → S3 → S2, where the fibre, the total space and the base manifold are all respective spheres. The Hopf bundle is the geometrical representation of many physical phenomena. In this thesis two such examples will be closely inspected: electromagnetic knots and the magnetic monopole. Following introductory chapters on Maxwell’s equations and the Hopf bundle, a detailed construction of the aforementioned electromagnetic fields will be studied. In the closing chapter we will provide a short review of experimental searches for magnetic monopoles and attempts and guidelines for creating electromagnetic knots.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:045885
Study programmeTitle: Physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-04-04 19:49:00