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master's thesis
Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju
2020. urn:nbn:hr:166:092203
Ćatipović, Leon
University of Split
Faculty of Science
Department of Physics

Cite this document

Ćatipović, L. (2020). Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:092203

Ćatipović, Leon. "Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju." Master's thesis, University of Split, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:092203

Ćatipović, Leon. "Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju." Master's thesis, University of Split, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:166:092203

Ćatipović, L. (2020). 'Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju', Master's thesis, University of Split, Faculty of Science, accessed 15 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:092203

Ćatipović L. Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju [Master's thesis]. Split: University of Split, Faculty of Science; 2020 [cited 2024 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:166:092203

L. Ćatipović, "Disocijacijska duljina raspršenja atomskog trimera u osnovnome stanju", Master's thesis, University of Split, Faculty of Science, Split, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:166:092203

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Metadata
TitleDisocijacijska duljina raspršenja atomskog trimera u osnovnome stanju
Title (english)Dissociation scattering length of ground state trimers
AuthorLeon Ćatipović
MentorPetar Stipanović (mentor)
Committee memberPetar Stipanović (predsjednik povjerenstva)
Committee memberLeandra Vranješ Markić (član povjerenstva)
Committee memberKrešimir Dželalija (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2020-07-02, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Eksperimentalne i teorijske procjene disocijacijske duljine raspršenja trimera \(a_-\) u odnosu na van der Waalsovu duljinu \(R_6\) pojavljuju se unutar raspona \(2a_-\) = \(9R_6 ± 20\)% zbog čega se kategoriziraju kao univerzalne. U pokušaju da umanjimo devijaciju univerzalnosti duljine raspršenja atomskog trimera u osnovnom stanju proveli smo simulacije koristeći kvantne Monte Carlo metode s naglaskom na difuzijski Monte Carlo, koji, do na statističku pogrešku, egzaktno rješava Schrödingerovu jednadžbu u imaginarnom vremenu. Ispitani su razni modeli Lennard-Jones potencijala karakterističnih za interakcije neutralnih atoma, odnosno čiji se dugo dosežni utjecaj opisuje s \(-C_6r^{−6}\). Svi su rezultati dobiveni unutar spomenutog raspona, a konačne analize rezultirale su procjenom \(2a_-\) = \( −9.58R_6 ± 1.6\)% čija je devijacija puno manja od gore spomenutoga raspona. Dobiveni rezultati upućuju da bi odnos mogao biti univerzalan, ali ne možemo sa sigurnošću tvrditi dok se analizom više različitih sustava ne utvrdi postoji li dodatni parametar koji narušava idealan univerzalni odnos i uzrokuje blagu raspršenost istoga.
Abstract (english)
Experimental and theoretical estimates for dissociation scattering length of atomic trimers \(a_-\) in regards to van der Waals length \(R_6\) produce results within \(2a_-\) = \(9R_6 ± 20\)% which deems them as universal. In an attempt to reduce the deviation in the universality of scattering length of ground state atomic trimers we conducted simulations based on Quantum Monte Carlo methods, with an emphasis on Diffusion Monte Carlo, which exactly solves Schrödinger’s equation in imaginary time, with a statistical margin of error. Various models of Lennard-Jones interaction potentials between neutral atoms are tested, meaning those whose long-range effect can be described as \(-C_6r^{−6}\). All results fall within the aforementioned range, while final analysis resulted in an estimate of \(2a_-\) = \( −9.58R_6 ± 1.6\)%; a much lesser deviation than the aforementioned. Results indicate that the relation might be universal, however, we can not make that claim until additional systems are analysed and the existence of an additional parameter, which could potentially downgrade the ideal universal relation and cause a mild spread.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:092203
Study programmeTitle: Physics; specializations in: major in teaching, major in Astrophysics, major in Biophysics, major in Enviromental physics, major in Computational physics, major in Astrophysics and physics of elemental particles
Course: major in Computational physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
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Created on2021-02-01 11:22:20