Title of article :
Fractional Poisson Bracket
Author/Authors :
Khalili GOLMANKHANEH, Alireza University of Pune - Department of Physics, INDIA , Khalili GOLMANKHANEH, Alireza islamic azad university - Department of Physics, اروميه, ايران
Abstract :
In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systemsinvolving the Caputo derivative. Fractional Poisson-bracket is introduced. Further Hamilton’s canonicalequations are formulated and quantum wave equation corresponds to the fractional Hamilton-Jacobiequation is suggested. Illustrative examples have been worked out to explain the formalism.
Keywords :
Hamilton , Jacobi quantized equation , Riemann , Liouville derivative , Caputo derivative , Canonical transformation , Generating function , fractional Poisson , bracket
Journal title :
Turkish Journal of Physics
Journal title :
Turkish Journal of Physics
