Fractional poisson bracket

Khalili Golmankhaneh A.

Turkish Journal of Physics, cilt.32, sa.5, ss.241-250, 2008 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 5
  • Basım Tarihi: 2008
  • Dergi Adı: Turkish Journal of Physics
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.241-250
  • Anahtar Kelimeler: Canonical transformation, Caputo derivative, Fractional Poisson-bracket, Generating function, Hamilton-Jacobi quantized equation, Riemann-Liouville derivative
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systems involving the Caputo derivative. Fractional Poisson-bracket is introduced. Further Hamilton's canonical equations are formulated and quantum wave equation corresponds to the fractional Hamilton-Jacobi equation is suggested. Illustrative examples have been worked out to explain the formalism. © TÜBİTAK.