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undergraduate thesis
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Helium dimer analysis using Numerov algorithm
Leo Ivas (2018)
University of Split
University of Split, Faculty of science
Department of Physics
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Ivas, L. (2018). Analiza dimera helija Numerovim algoritmom (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:204435

Ivas, Leo. "Analiza dimera helija Numerovim algoritmom." Undergraduate thesis, University of Split, University of Split, Faculty of science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:204435

Ivas, Leo. "Analiza dimera helija Numerovim algoritmom." Undergraduate thesis, University of Split, University of Split, Faculty of science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:204435

Ivas, L. (2018). 'Analiza dimera helija Numerovim algoritmom', Undergraduate thesis, University of Split, University of Split, Faculty of science, accessed 19 March 2019, https://urn.nsk.hr/urn:nbn:hr:166:204435

Ivas L. Analiza dimera helija Numerovim algoritmom [Undergraduate thesis]. Split: University of Split, University of Split, Faculty of science; 2018 [cited 2019 March 19] Available at: https://urn.nsk.hr/urn:nbn:hr:166:204435

L. Ivas, "Analiza dimera helija Numerovim algoritmom", Undergraduate thesis, University of Split, University of Split, Faculty of science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:204435

Metadata
TitleAnaliza dimera helija Numerovim algoritmom
Title (english)Helium dimer analysis using Numerov algorithm
AuthorLeo Ivas
MentorPetar Stipanović (mentor)
Committee memberPetar Stipanović (predsjednik povjerenstva)
Committee memberLeandra Vranješ Markić (član povjerenstva)
Committee memberViktor Cikojević (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Physics)
Split
Defense date and country2018-09-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Cilj ovoga završnog rada je analiza dimera helija Numerovim algoritmom. Upoznajemo se s različitim modelima potencijala kojima se vežu dva atoma helija, te rješavamo Schrödingerovu jednadžbu za taj slučaj. Zbog kompleksnosti problema (diferencijalne jednadžbe) rješavanje provodimo numeričkim putem gdje se koristimo Numerovim algoritmom, a kako je problem kvantne prirode i znamo da sustav može imati samo određene svojstvene vrijednosti valne funkcije i energije, koristimo metodu pogađanja i usklađivanja (eng. shooting i matching) za dobivanje istih. Potom uspoređujemo dobivene rezultate s onim eksperimentalnim te procjenjujemo kako različite promjene parametara utječu na ukupno rješenje.
Abstract (english)
The goal of this thesis is to analyze helium dimer by Numerov algorithm. We come across different types of potentials linking two helium atoms and solve Schrödinger's equation for that case. Because of the complexity of the problem (differential equation) we solve the problem numerically where we use the Numerov algorithm, and because it is the quantum mechanics problem we know that the system can have only specific eigenvalues of wave function and energy, and that’s why we use the shooting and matching method for obtaining it. Then we compare the results obtained with one’s from the experiment and describe how different parameters affects the total solution.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:204435
Study programmeTitle: Matematika i fizika
Study programme type: sveučilišni
Study level: preddiplomski
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i fizike)
Type of resourcetext
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-01-18 15:42:09