Fractional Hamiltonian analysis of higher order derivatives systems

Details Fractional Hamiltonian analysis of higher order derivatives systems Fractional Hamiltonian analysis of higher order derivatives systems

2006-12-07

arxiv.org/abs/math-ph/0612024v1

Journal of Mathematical Physics 47 (10): Art. No. 103503, (2006)

Physics

Mathematical Physics

13 pages

Scientific paper

The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski's formulation is obtained. The fractional path integral of both simple harmonic oscillator with an acceleration-squares part and a damped oscillator are analyzed. The classical results are obtained when fractional derivatives are replaced with the integer order derivatives.

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