Fractional Calculus and the Schrödinger Equation
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Abstract
In this paper, a derivation of the fractional Schrödinger equation is presented for the simple case of a pure diffusive process with dissipation. The Gaussian white noise is replaced by more general kinds of white noise and both the Markovian both the Markovian (β = 1) and non-Markovian case (0 < β < 1) are considered. Copyright © 2006 IFAC.
Description
Keywords
Diffusion Equation, Fractional Calculus, Quantum Mechanics, Schrödinger Equation
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Scalas, Enrico...et al. (2006). "Fractional calculus and the Schrödinger equation", IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 2, No. PART 1, pp. 234-237.
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Scopus Q
OpenCitations Citation Count
3
Volume
2
Issue
PART 1
Start Page
234
End Page
237
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CrossRef : 3
Scopus : 6
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