Momentum map and action-angle variables for Nambu dynamics

TEĞMEN A.

CZECHOSLOVAK JOURNAL OF PHYSICS, cilt.54, sa.7, ss.749-757, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 7
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:cjop.0000038528.44335.8b
  • Dergi Adı: CZECHOSLOVAK JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.749-757
  • Anahtar Kelimeler: momentum map, Nambu mechanics, action-angle variables, MECHANICS
  • Ankara Üniversitesi Adresli: Evet

Özet

Momentum map is a reduction procedure that reduces the dimension of a Hamiltonian system to the lower ones. It is shown that behavior of the action-angle variables under the momentum map generates the new action-angle variables for the reduced system considered as a Nambu structure. The symmetrical top is given as an illustration.