dc.contributor.author | Sütlü, Serkan | en_US |
dc.contributor.author | Esen, Oğul | en_US |
dc.date.accessioned | 2016-10-24T21:55:35Z | |
dc.date.available | 2016-10-24T21:55:35Z | |
dc.date.issued | 2016-11-01 | |
dc.identifier.citation | Esen, O. & Sütlü, S. S. (2016). Hamiltonian dynamics on matched pairs. International Journal of Geometric Methods in Modern Physics, 13(10), 1-24. doi:10.1142/S0219887816501280 | en_US |
dc.identifier.issn | 0219-8878 | |
dc.identifier.issn | 1793-6977 | |
dc.identifier.uri | https://hdl.handle.net/11729/1140 | |
dc.identifier.uri | http://dx.doi.org/10.1142/S0219887816501280 | |
dc.description.abstract | The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, the canonical symplectic two-form and the canonical Poisson bracket are explicitly written. Various symplectic and Poisson reductions are perfomed. The Lie–Poisson bracket is derived. As an example, Lie–Poisson equations on (Formula presented.) are obtained. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | World Scientific Publishing Co | en_US |
dc.relation.isversionof | 10.1142/S0219887816501280 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Hamilton’s equations | en_US |
dc.subject | Lie–Poisson equations | en_US |
dc.subject | Matched pairs | en_US |
dc.subject | Reduction | en_US |
dc.subject | Lie-Groups | en_US |
dc.subject | Hopf-Algebras | en_US |
dc.subject | Semidirect products | en_US |
dc.subject | Cotangent bundle | en_US |
dc.title | Hamiltonian dynamics on matched pairs | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | International Journal of Geometric Methods in Modern Physics | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0003-0925-8668 | |
dc.identifier.volume | 13 | |
dc.identifier.issue | 10 | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 24 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Sütlü, Serkan Selçuk | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q2 | |
dc.description.wosid | WOS:000387489200012 | |