Publication: Analytical and Numerical Treatment of Auxiliary Function Bm'mj(beta) for Finite Rotation Matrix Elements
| dc.authorscopusid | 55934959600 | |
| dc.contributor.author | Öztekin, E. | |
| dc.date.accessioned | 2020-06-21T15:06:14Z | |
| dc.date.available | 2020-06-21T15:06:14Z | |
| dc.date.issued | 2009 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Öztekin] Emin, Department of Physics, Ondokuz Mayis Üniversitesi, Samsun, Turkey | en_US |
| dc.description.abstract | In this study, a new method evaluate the auxiliary function B <inf>m′m</inf>J which the function appears in the matrix elements d<inf>m′,m</inf>J(β) are formulated. Also, the generating functions, Rodrigues' formula, and orthogonality relationships for the B<inf>;m′m</inf>;;J;(β) function are presented. To analyze their formal mathematical structure, B<inf>;m′m</inf>; ;J;(β) functions are expressed in terms of the Jacobi, Gegenbauer, Legendre, and Chebyshev polynomials. B<inf>m′m</inf> J(β) functions and their linear combinations are calculated numerically for large values of the indices j, m′, m quantum numbers and β angles by using generating function. Finally, evaluating numerical values for them are checked with obtained control expressions and results of Öztekin and Özcan (J Math Chem 44:28, 2008). © 2008 Springer Science+Business Media, LLC. | en_US |
| dc.identifier.doi | 10.1007/s10910-008-9470-8 | |
| dc.identifier.endpage | 458 | en_US |
| dc.identifier.issn | 0259-9791 | |
| dc.identifier.issn | 1572-8897 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-67650603637 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 448 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10910-008-9470-8 | |
| dc.identifier.volume | 46 | en_US |
| dc.identifier.wos | WOS:000266926000008 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Öztekin, E. | |
| 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 | en_US |
| dc.subject | Generating Functions | en_US |
| dc.subject | Rotation Matrix Elements | en_US |
| dc.title | Analytical and Numerical Treatment of Auxiliary Function Bm'mj(beta) for Finite Rotation Matrix Elements | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |