Fractional Poisson Bracket

Details Fractional Poisson Bracket Fractional Poisson Bracket

2008-07-26

arxiv.org/abs/0807.4255v1

Turk. J. Phys., 32, (2008), 241-250.

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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