Nambu brackets with constraint functionals

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TEĞMEN A.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.21, sa.3, ss.575-588, 2006 (SCI-Expanded) identifier identifier

  • 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
  • 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.