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

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Abstract

In 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.

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Keywords

Fractional Derivative, Hamilton-Jacobi Equation, Hamiltonian System, Non-Conservative Systems

Fields of Science

0103 physical sciences, 0101 mathematics, 01 natural sciences

Citation

Muslih, 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.

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2

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PART 1

Start Page

85

End Page

88
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