skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fractional Hamiltonian analysis of higher order derivatives systems

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2356797· OSTI ID:20861060
; ;  [1]
  1. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University-06530, Ankara, Turkey and Institute of Space Sciences, P.O. Box, MG-23, R 76900, Magurele-Bucharest (Romania)

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.

OSTI ID:
20861060
Journal Information:
Journal of Mathematical Physics, Vol. 47, Issue 10; Other Information: DOI: 10.1063/1.2356797; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

Similar Records

Hamiltonian analysis of higher derivative scalar-tensor theories
Journal Article · Fri Jul 01 00:00:00 EDT 2016 · Journal of Cosmology and Astroparticle Physics · OSTI ID:20861060

Healthy degenerate theories with higher derivatives
Journal Article · Wed Jul 20 00:00:00 EDT 2016 · Journal of Cosmology and Astroparticle Physics · OSTI ID:20861060

Effective Lagrangians with higher derivatives and equations of motion
Journal Article · Wed Jun 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States) · OSTI ID:20861060