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  1. 1 Acta Physica Polonica A

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  1. 1 2009

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  1. 1 Tofighi A.

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Probability Structure of Time Fractional Schrödinger Equation

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Tofighi A.
Acta Physica Polonica A
|
2009
|
vol. 116
|
issue 2
114-118
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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