Path Integral Quantization of Brownian Motion as Mechanical Systems With Fractional Derivatives
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Date
2006
Authors
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Publisher
IFAC Secretariat
Open Access Color
Green Open Access
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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.
Description
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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OpenCitations Citation Count
N/A
Source
IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume
2
Issue
PART 1
Start Page
85
End Page
88
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