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2009 | 116 | 2 | 114-118
Article title

Probability Structure of Time Fractional Schrödinger Equation

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Abstracts
EN
We consider the motion of a particle under the influence of a real potential within the framework of time fractional Schrödinger equation in 1 + 1 dimensions. For the basis states we obtain a simple expression for the probability current equation. In the limit where the order of fractional derivative is close to unity we find a fluctuating probability density for the basis states. We also provide a compact expression for the time rate of change of the probability density in this case. For the special case where the order of fractional derivative is equal to ½ we compute the probability density.
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  • Department of Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran
References
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Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n202kz
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