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undergraduate thesis
Numeričko rješavanje Schrödingerove jednadžbe
2020. urn:nbn:hr:166:069189
Mandarić, Marko
University of Split
University of Split, Faculty of science
Department of Physics

Cite this document

Mandarić, M. (2020). Numeričko rješavanje Schrödingerove jednadžbe (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:069189

Mandarić, Marko. "Numeričko rješavanje Schrödingerove jednadžbe." Undergraduate thesis, University of Split, University of Split, Faculty of science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:069189

Mandarić, Marko. "Numeričko rješavanje Schrödingerove jednadžbe." Undergraduate thesis, University of Split, University of Split, Faculty of science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:069189

Mandarić, M. (2020). 'Numeričko rješavanje Schrödingerove jednadžbe', Undergraduate thesis, University of Split, University of Split, Faculty of science, accessed 20 May 2022, https://urn.nsk.hr/urn:nbn:hr:166:069189

Mandarić M. Numeričko rješavanje Schrödingerove jednadžbe [Undergraduate thesis]. Split: University of Split, University of Split, Faculty of science; 2020 [cited 2022 May 20] Available at: https://urn.nsk.hr/urn:nbn:hr:166:069189

M. Mandarić, "Numeričko rješavanje Schrödingerove jednadžbe", Undergraduate thesis, University of Split, University of Split, Faculty of science, Split, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:166:069189

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Metadata
TitleNumeričko rješavanje Schrödingerove jednadžbe
Title (english)Numerical solution of the Schrödinger equation
AuthorMarko Mandarić
MentorToni Šćulac (mentor)
Committee memberToni Šćulac (predsjednik povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
Committee memberMile Dželalija (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Physics)
Split
Defense date and country2020-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U ovom završnom radu obrađuje se vremenski neovisna Schrodingerova jednadžba te njeno rješavanje na dva različita načina, analitički i numerički. Cilj je rada pokazati može li se jednadžbu dovoljno precizno riješiti numeričkom metodom uz pomoć računala, što bi omogućilo rješavanje nekih kompliciranijih slučajeva koji nisu analitički rješivi. Konkretno je prikazano rješenje za oscilirajuću česticu u harmonijskom potencijalu. Diskutira se i ovisnost preciznosti numeričkog rješenja o parametrima u samoj metodi. U radu je prezentiran algoritam koji numerički rješava Schrodingerovu jednadžbu. Rastom moći računala, ubuduće ćemo sigurno moći unaprijediti i brzinu i preciznost rješavanja i za kompliciranije probleme od onog ovdje prikazanog.
Abstract (english)
This bachelor thesis deals with the time-independent Schrodinger equation and the two ways of solving it: analytical and numerical. The goal is to show whether the equation can be solved precisely enough numerically on the computer, which would allow solutions for complicated cases that don’t have analytical solutions. Specifically, a solution for a particle in a harmonic potential is discussed. Dependence of the accuracy of the numerical solution on the parameters in the method itself is also discussed. This work presents an algorithm for the numerical solution of the Schrodinger equation. With the growth of computer power in the future, we will definitely be able to improve both the speed and precision of solving even more complicated problems than the one depicted here.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:069189
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2021-01-19 11:38:13