Publication: Evaluation of Recurrence Relationships and Numerical Solutions for Finite Rotation Matrix Elements by Using Auxiliary Functions
| dc.authorscopusid | 6603855150 | |
| dc.authorscopusid | 23109443800 | |
| dc.contributor.author | Öztekin, E. | |
| dc.contributor.author | Özcan, S. | |
| dc.date.accessioned | 2020-06-21T15:13:31Z | |
| dc.date.available | 2020-06-21T15:13:31Z | |
| dc.date.issued | 2008 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Öztekin] E., Department of Physics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Özcan] Selda, Department of Physics, Ondokuz Mayis Üniversitesi, Samsun, Turkey | en_US |
| dc.description.abstract | In this article, we derived several new recurrence relations of the rotation matrix elements by using Gauss' recurrence formulas for hypergeometric functions and auxiliary functions Aj<inf>m′ ,m</inf>}(β), and Bj<inf>i,l</inf>}(β). The aim of this contribution is to obtain general algorithm to compute the rotation matrix elements, paying attention to the use recurrence relationships of the auxiliary functions that allow the treatment of the functions with high angular momentum quantum numbers. © 2007 Springer Science+Business Media, LLC. | en_US |
| dc.identifier.doi | 10.1007/s10910-007-9290-2 | |
| dc.identifier.endpage | 45 | en_US |
| dc.identifier.issn | 0259-9791 | |
| dc.identifier.issn | 1572-8897 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-43249094772 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 28 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10910-007-9290-2 | |
| dc.identifier.volume | 44 | en_US |
| dc.identifier.wos | WOS:000255629500004 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Mathematical Chemistry | en_US |
| dc.relation.journal | Journal of Mathematical Chemistry | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Auxiliary Functions for DJ M′,M}(Β) | en_US |
| dc.subject | Gauss' Recurrence Formulas | en_US |
| dc.subject | Hypergeometric Functions | en_US |
| dc.subject | Rotation Matrix Elements | en_US |
| dc.title | Evaluation of Recurrence Relationships and Numerical Solutions for Finite Rotation Matrix Elements by Using Auxiliary Functions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |