About schrodinger equation on fractals curves imbedding in R (3)
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Date
2015
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Springer/Plenum Publishers
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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.
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Keywords
Fractal Calculus, Fractal quantum Mechanics, Feynman Path, Schredinger Fractional Equation
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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
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Source
International Journal of Theoretical Physics
Volume
54
Issue
4
Start Page
1275
End Page
1282