Algebraic Solution of Gaunt Coefficients via the Angular Momentum Ladder Operators

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dc.contributor.authorAkdemir, Selda
dc.date.accessioned2025-03-23T19:09:25Z
dc.date.available2025-03-23T19:09:25Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractIn this study, Gaunt coefficients, frequently encountered in quantum mechanical calculations of atomic and molecular structures, have been algebraically derived. Firstly, the Gaunt coefficient, equal to the integral over the solid angle of the product of three spherical harmonics, is written in terms of angular momentum ladder operators. Subsequently, raising or lowering operators are applied to spherical harmonics, and the obtained integrals are solved using the recurrence and orthogonality relations of spherical harmonics. As a result, algebraic expressions for Gaunt coefficients are obtained in terms of quantum numbers
dc.identifier.doi10.33484/sinopfbd.1358148
dc.identifier.endpage244
dc.identifier.issn2536-4383
dc.identifier.issn2564-7873
dc.identifier.issue2
dc.identifier.startpage229
dc.identifier.trdizinid1215912
dc.identifier.urihttps://doi.org/10.33484/sinopfbd.1358148
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1215912
dc.identifier.urihttps://hdl.handle.net/11486/3347
dc.identifier.volume8
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorAkdemir, Selda
dc.language.isoen
dc.relation.ispartofSinop Üniversitesi fen bilimleri dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR_20250323
dc.subjectFizik
dc.subjectAtomik ve Moleküler Kimya
dc.subjectMatematik
dc.subjectSpektroskopi
dc.subjectFizik
dc.subjectPartiküller ve Alanlar
dc.titleAlgebraic Solution of Gaunt Coefficients via the Angular Momentum Ladder Operators
dc.typeArticle

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