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master's thesis
Prema teoriji polja na kvantiziranim prostorima
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:218046
Čuić, Marija
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Čuić, M. (2019). Prema teoriji polja na kvantiziranim prostorima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:218046

Čuić, Marija. "Prema teoriji polja na kvantiziranim prostorima." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:218046

Čuić, Marija. "Prema teoriji polja na kvantiziranim prostorima." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:218046

Čuić, M. (2019). 'Prema teoriji polja na kvantiziranim prostorima', Master's thesis, University of Zagreb, Faculty of Science, accessed 15 July 2024, https://urn.nsk.hr/urn:nbn:hr:217:218046

Čuić M. Prema teoriji polja na kvantiziranim prostorima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 July 15] Available at: https://urn.nsk.hr/urn:nbn:hr:217:218046

M. Čuić, "Prema teoriji polja na kvantiziranim prostorima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:218046

Metadata
TitlePrema teoriji polja na kvantiziranim prostorima
Title (english)Towards a field theory on quantized space
AuthorMarija Čuić
MentorDanijel Jurman (mentor)
MentorAmon Ilakovac (mentor)
Committee memberAmon Ilakovac (predsjednik povjerenstva)
Committee memberDanijel Jurman (član povjerenstva)
Committee memberMatko Milin (član povjerenstva)
Committee memberIvica Smolić (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2019-07-11, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Otvoreno pitanje u modernoj teorijskoj fizici predstavlja ujedinjenje kvantne mehanike i gravitacije unutar istog matematičkog formalizma. Mogući pristup problemu je da pretpostavimo da je na malim skalama prostorvrijeme kvantizirano te pokušamo konstruirati teoriju polja na takvoj strukturi. U ovom radu konstruiramo kvantizirane, odnosno nekomutativne varijante homogenih prostora, uzimajući u obzir zahtjev, po uzoru na princip korespondancije u kvantnoj mehanici, da postoji odgovarajući limes u kojem se nekomutativni prostor reducira na glatku mnogostrukost. Konkretna konstrukcija nekomutativnih analogona homogenih prostora ilustrirana je na primjerima kvantne mehanike i kvantizirane sfere. U kontekstu kvantizirane varijante klasične sfere uvodimo dinamičke nekomutativne prostore, baždarnu teoriju polja te osnovne koncepte kvantne teorije polja na nekomutativnim prostorima.
Abstract (english)
An open question in modern theoretical physics is the union of quantum mechanics and gravity within the same mathematical framework. One approach to this problem is that we assume that spacetime is quantized on small scales and attempt to construct a field theory on such a structure. In this dissertation we construct quantized, that is, noncommutative analogues of homogeneous spaces, taking into consideration the request that, similarly to the correspondence principle in quantum mechanics, there is a corresponding limit in which the noncommutative space reduces to a smooth manifold. An explicit construction of noncommutative analogues of homogeneous spaces is illustrated on the examples of quantum mechanics and the quantized sphere. In the context of a quantized version of the classical sphere, we introduce dynamical noncommutative spaces, gauge field theory and basic concepts of quantum field theory on noncommutative spaces.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:218046
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-09-05 11:04:44