Fractional Poisson Bracket

Authors : Alireza Khalili GOLMANKHANEH

Pages : 241-250

Doi:10.3906/tar-1210-28

View : 10 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :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.
Keywords : Hamilton Jacobi quantized equation, Riemann Liouville derivative, Caputo derivative, Canonical transformation, Generating function, fractional Poisson bracket