Path integral quantization of brownian motion as mechanical systems with fractional derivatives

Muslih, Sami I.Rabei, Eqab M.Baleanu, Dumitru2022-12-022022-12-022006Muslih, Sami I.; Rabei, Eqab M.; Baleanu, Dumitru (2006). "Path integral quantization of brownian motion as mechanical systems with fractional derivatives", IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 2, No. PART 1, pp. 85-88.97839026611281474-6670http://hdl.handle.net/20.500.12416/5911In this paper, the mechanical systems with fractional derivatives are studied by using fractional formalism. The path integral quantization of these system is constructed as an integration over the canonical phase space. The path integral quantization of a system with Brownian motion is carried out.eninfo:eu-repo/semantics/closedAccessFractional DerivativeHamilton-Jacobi EquationHamiltonian SystemNon-Conservative SystemsPath integral quantization of brownian motion as mechanical systems with fractional derivativesPath Integral Quantization of Brownian Motion as Mechanical Systems With Fractional DerivativesConference Object2PART 1858810.3182/20060719-3-pt-4902.00014