Probability Structure of Time Fractional Schrödinger Equation |
| A. Tofighi
Department of Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran |
| Received: July 19, 2007; In final form: July 1, 2009 |
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| 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. |
| DOI: 10.12693/APhysPolA.116.114 PACS numbers: 03.65.-w |