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undergraduate thesis
Računanje djelovanja operatora u omotačkoj algebri od sl(4,C)
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2024. urn:nbn:hr:168:937436
Smiljanić, Ivan
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

Cite this document

Smiljanić, I. (2024). Računanje djelovanja operatora u omotačkoj algebri od sl(4,C) (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:937436

Smiljanić, Ivan. "Računanje djelovanja operatora u omotačkoj algebri od sl(4,C)." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2024. https://urn.nsk.hr/urn:nbn:hr:168:937436

Smiljanić, Ivan. "Računanje djelovanja operatora u omotačkoj algebri od sl(4,C)." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2024. https://urn.nsk.hr/urn:nbn:hr:168:937436

Smiljanić, I. (2024). 'Računanje djelovanja operatora u omotačkoj algebri od sl(4,C)', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 04 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:937436

Smiljanić I. Računanje djelovanja operatora u omotačkoj algebri od sl(4,C) [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2024 [cited 2024 December 04] Available at: https://urn.nsk.hr/urn:nbn:hr:168:937436

I. Smiljanić, "Računanje djelovanja operatora u omotačkoj algebri od sl(4,C)", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:168:937436

Metadata
TitleRačunanje djelovanja operatora u omotačkoj algebri od sl(4,C)
Title (english)Calculation of action of operators in enveloping algebra of sl(4,C)
AuthorIvan Smiljanić
MentorDomagoj Kovačević (mentor)
Committee memberDomagoj Kovačević (predsjednik povjerenstva)
Committee memberJosipa Pina Milišić (član povjerenstva)
Committee memberTomislav Šikić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2024-07-08, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
Djelovanje operatora u omotačkoj algebri od sl(4,C) važan je koncept s primjenama u mnogim područjima vezanih uz računarstvo, uključujući fiziku i matematiku, posebice teoriju reprezentacije i kvantnu mehaniku. Iako je djelovanje trivijalno za jednostavne primjere, kompleksniji su primjeri nepraktični za ručni izračun. Ovaj rad pojednostavljuje rješavanje takvih problema pomoću računala. Glavni dio završnog rada predstavlja algoritam i implementaciju u programskom jeziku Java za računanje djelovanja operatora na težinske vektore. Opisane su korištene metode i inženjerski pristup za intuitivnije korištenje programa. Uspoređeni su primjeri ručnih izračuna i izračuna putem računala te vremenska i prostorna iskorištenost resursa, čime se demonstrira učinkovitost i praktičnost digitalnog pristupa.
Abstract (english)
The action of operators in enveloping algebra of sl(4,C) is an important concept with applications in various computer science related fields, including physics and mathematics, especially in representation theory and quantum mechanics. While the action is straightforward for simpler examples, manual computation becomes impractical for more complex instances. This thesis addresses this challenge by leveraging computational resources to streamline problem-solving. The central component of the final thesis encompasses an algorithm and its implementation in programming language Java for computing the action of operators on weight vectors. Thesis describes methods used and engineering approach for intuitive program usage. A comparative analysis between manual and computer-based calculations is conducted, elucidating the efficiency and pragmatism of the digital methodology.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:937436
Study programmeTitle: Computing
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
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Created on2024-10-12 22:07:24