Hamiltonian dynamics on matched pairs
Yükleniyor...
Dosyalar
Tarih
2016-11-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publishing Co
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Hamilton’s equations, Lie–Poisson equations, Matched pairs, Reduction, Lie-Groups, Hopf-Algebras, Semidirect products, Cotangent bundle
Kaynak
International Journal of Geometric Methods in Modern Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
13
Sayı
10
Künye
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
