Path Integral Quantization of Brownian Motion as Mechanical Systems With Fractional Derivatives

Rabei, E.M.Baleanu, D.Muslih, S.I.2022-12-022025-09-182022-12-022025-09-182006Muslih, 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. 85-88.97839026611281474-6670https://doi.org/10.3182/20060719-3-pt-4902.00014https://hdl.handle.net/20.500.12416/12921In 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. Copyright 2006 IFAC.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 Object10.3182/20060719-3-pt-4902.000142-s2.0-79961108668