Nambu brackets with constraint functionals
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.21, sa.3, ss.575-588, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 3
- Basım Tarihi: 2006
- Doi Numarası: 10.1142/s0217751x06028503
- Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.575-588
- Anahtar Kelimeler: Nambu brackets, constraints, SUPERINTEGRABLE SYSTEMS, MECHANICS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
If a Hamiltonian dynamical system with n degrees of freedom admits m constants of motion more than 2n-1, then there exist some functional relations between the constants of motion. Among these relations the number of functionally independent ones are s = m - (2n - 1). It is shown that for such a system in which the constants of motion constitute a polynomial algebra closing in Poisson bracket, the Nambu brackets can be written in terms of these s constraint functionals. The exemplification is very rich and several of them are analyzed in the text.