Fractional Poisson Bracket
Mathematical Physics
2008-08-17 v1 math.MP
Abstract
In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systems involving 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.
Cite
@article{arxiv.0807.4255,
title = {Fractional Poisson Bracket},
author = {Alireza Khalili Golmankhaneh},
journal= {arXiv preprint arXiv:0807.4255},
year = {2008}
}
Comments
10 pages