About Schrodinger Equation on Fractals Curves Imbedding in R <sup>3</Sup>
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer/plenum Publishers
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
Popularity
Top 10%
Abstract
In this paper we introduced the quantum mechanics on fractal time-space. In a suggested formalism the time and space vary on Cantor-set and Von-Koch curve, respectively. Using Feynman path method in quantum mechanics and F (alpha) -calculus we find SchrA << dinger equation on on fractal time-space. The Hamiltonian and momentum fractal operator has been indicated. More, the continuity equation and the probability density is given in view of F (alpha) -calculus.
Description
Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163
Keywords
Fractal Calculus, Fractal Quantum Mechanics, Feynman Path, Schredinger Fractional Equation
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Golmankhaneh, A.K...et al. (2015). About schrodinger equation on fractals curves imbedding in R (3). International Journal of Theoretical Physics, 54(4), 1275-1282. http://dx.doi.org/10.1007/s10773-014-2325-0
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
19
Source
International Journal of Theoretical Physics
Volume
54
Issue
4
Start Page
1275
End Page
1282
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Citations
CrossRef : 11
Scopus : 27
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