Probability Structure of Time Fractional Schrödinger Equation

• Authors: A. Tofighi
• Languages of publication: EN

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.

Keywords

EN

03.65.-w

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 2
• Pages: 114-118

Dates

published

2009-08

received

2007-07-19

(unknown)

2009-07-01

Contributors

author

A. Tofighi

• Department of Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran

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Identifiers

DOI

10.12693/APhysPolA.116.114