Path integral representation of fractional harmonic oscillator

EAB, C and LIM, S (2006) Path integral representation of fractional harmonic oscillator. Physica A: Statistical and Theoretical Physics, 371 (2). pp. 303-316. ISSN 03784371

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Official URL: http://dx.doi.org/10.1016/j.physa.2006.03.029

Abstract

Fractional oscillator process can be obtained as the solution to the fractional Langevin equation. There exist two types of fractional oscillator processes, based on the choice of fractional integro-differential operators (namely Weyl and Riemann-Liouville). An operator identity for the fractional differential operators associated with the fractional oscillators is derived; it allows the solution of fractional Langevin equations to be obtained by simple inversion. The relationship between these two fractional oscillator processes is studied. The operator identity also plays an important role in the derivation of the path integral representation of the fractional oscillator processes. Relevant quantities such as two-point and n-point functions can be calculated from the generating functions. (c) 2006 Elsevier B.V. All rights reserved.

Item Type: Article
Subjects: T Technology > T Technology (General)
Q Science > QA Mathematics > QA75.5-76.95 Electronic computers. Computer science
Divisions: Faculty of Engineering and Technology (FET)
Depositing User: Ms Suzilawati Abu Samah
Date Deposited: 18 Oct 2011 00:09
Last Modified: 18 Oct 2011 00:09
URI: http://shdl.mmu.edu.my/id/eprint/3262

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