Nambu brackets with constraint functionals


Creative Commons License

TEĞMEN A.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.21, no.3, pp.575-588, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.1142/s0217751x06028503
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.575-588
  • Keywords: Nambu brackets, constraints, SUPERINTEGRABLE SYSTEMS, MECHANICS
  • Ankara University Affiliated: Yes

Abstract

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.