Lévy flights over quantum paths
An impact of integration over the paths of the Lévy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox H-function. A new equation for the kernel of a particle in the box has been found. New general results...
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| Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2007-02, Vol.12 (1), p.2-18 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | An impact of integration over the paths of the Lévy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox
H-function. A new equation for the kernel of a particle in the box has been found. New general results include the well known quantum formulae for a free particle kernel and particle in box kernel. |
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| ISSN: | 1007-5704 1878-7274 |
| DOI: | 10.1016/j.cnsns.2006.01.001 |