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undergraduate thesis
Sferni harmonici i njihova primjena u fizici
2017. urn:nbn:hr:160:710797
Topalović, Mateo
Josip Juraj Strossmayer University of Osijek
Department of Physics
Division of Theoretical Physics and Computer Science
Division Chair of Theoretical Physics

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Topalović, M. (2017). Sferni harmonici i njihova primjena u fizici (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:160:710797

Topalović, Mateo. "Sferni harmonici i njihova primjena u fizici." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2017. https://urn.nsk.hr/urn:nbn:hr:160:710797

Topalović, Mateo. "Sferni harmonici i njihova primjena u fizici." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2017. https://urn.nsk.hr/urn:nbn:hr:160:710797

Topalović, M. (2017). 'Sferni harmonici i njihova primjena u fizici', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, accessed 16 April 2024, https://urn.nsk.hr/urn:nbn:hr:160:710797

Topalović M. Sferni harmonici i njihova primjena u fizici [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics; 2017 [cited 2024 April 16] Available at: https://urn.nsk.hr/urn:nbn:hr:160:710797

M. Topalović, "Sferni harmonici i njihova primjena u fizici", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:160:710797

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Metadata
TitleSferni harmonici i njihova primjena u fizici
Title (english)Spheriak Harmonics and their Applications im Physics
AuthorMateo Topalović
MentorZvonko Glumac (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Physics
(Division of Theoretical Physics and Computer Science)
(Division Chair of Theoretical Physics)
Osijek
Defense date and country2017-09-01, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
General and Classical Physics
Abstract
Uvod u sferne harmonike započinjemo Laplaceovom diferencijalnom jednadžbom u sfernim koordinatama. Sferne harmonike predstavljamo kao rješenje kutnog dijela Laplaceove jednadžbe. Nakon upoznavanja sa svojstvima sfernih harmonika iskoristit ćemo Laplaceov razvoj kako bi pronašli električni potencijal na površini sfere s danim rubnim uvjetom. U daljnjem izlaganju upoznat ćemo se s operatorom kutne količine gibanja i pomoću njega definirati Clebsch-Gordanove koeficijente te sfernim tenzorima pomoću kojih ćemo definirati Wignerove matrice, ali i neke druge bitne identitete koji koriste sferne harmonike. Na kraju rada ćemo ukratko reći nešto o vektorskim sfernim harmonicima.
Abstract (english)
We begin our thesis with Laplace`s equation in a spherical coordinate system. Spherical harmonics are represented as a solution to the angular part of Laplace`s equation. After familiarising ourselves with the properties of spherical harmonics, we will use Laplace expansion to find electric potential on the surface of a sphere with a given boundary condition. Furthermore, we are going to use angular momentum operator to define Clebsch-Gordan coefficients. In addition, we would familiarise ourselves with the concept of spherical tensors, and using them we would define Wigner matrices and some other important spherical harmonics identities. Finally, we would mention vector spherical harmonics and some of their properties.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:160:710797
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
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Created on2017-09-06 06:11:40