Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11990
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dc.contributor.advisorErman, Fatihen_US
dc.contributor.authorAltınbaşak, Ezgien_US
dc.date.accessioned2022-03-09T12:27:05Z-
dc.date.available2022-03-09T12:27:05Z-
dc.date.issued2021-12en_US
dc.identifier.urihttps://hdl.handle.net/11147/11990-
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2021en_US
dc.descriptionIncludes bibliographical references (leaves. 66-71)en_US
dc.descriptionText in English; Abstract: Turkish and Englishen_US
dc.description.abstractIn this thesis, a general formulation for the bound state energies of a finite number of attractive Dirac delta potentials is given in terms of a finite dimensional matrix. The stationary scattering problem is also studied using the distributional solutions of algebraic equations in momentum space. Finally, the energy gap and splitting for the bound state energies when the distance between the delta potentials is large is approximately calculated using a kind of perturbation theory.en_US
dc.description.abstractBu tezde, sonlu sayıda çekici Dirac delta potansiyellerinin bağlı durum enerjileri için genel bir formülasyon sonlu boyutlu bir matris cinsinden ifade edilmiştir. Ayrıca, durağan saçılma problemi momentum uzayında yazılmış cebirsel denklemlerin dağılımsal çözümleri kullanılarak çalışılmıştır. Son olarak delta potansiyelleri arasındaki mesafe büyük olduğunda bağlı durum enerjilerindeki değişim ve ayrışma, bir çeşit pertürbasyon teorisi kullanılarak yaklaşıkça hesaplanmıştır.en_US
dc.format.extentviii, 71 leavesen_US
dc.language.isoenen_US
dc.publisher01. Izmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPoint interactionsen_US
dc.subjectDirac delta potentialsen_US
dc.subjectPerturbation theoryen_US
dc.titlePerturbative and exact analysis of point interactionsen_US
dc.title.alternativeNoktasal etkileşimlerin pertürbatif ve tam analizien_US
dc.typeMaster Thesisen_US
dc.authorid0000-0001-5640-2197en_US
dc.departmentThesis (Master)--İzmir Institute of Technology, Mathematicsen_US
dc.relation.publicationcategoryTezen_US
dc.contributor.affiliation01. Izmir Institute of Technologyen_US
item.openairetypeMaster Thesis-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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