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
From page
241
To page
250
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
Record number
2528667
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