تقرير
L\'evy flights confinement in a parabolic potential and fractional quantum oscillator
| العنوان: | L\'evy flights confinement in a parabolic potential and fractional quantum oscillator |
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| المؤلفون: | Kirichenko, E. V., Stephanovich, V. A. |
| المصدر: | Phys. Rev. E 98, 052127 (2018) |
| سنة النشر: | 2018 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks |
| الوصف: | We study L\'evy flights confined in a parabolic potential. This has to do with a fractional generalization of ordinary quantum-mechanical oscillator problem. To solve the spectral problem for the fractional quantum oscillator, we pass to the momentum space, where we apply the variational method. This permits to obtain approximate analytical expressions for eigenvalues and eigenfunctions with very good accuracy. Latter fact has been checked by numerical solution of the problem. We point to the realistic physical systems ranging from multiferroics and oxide heterostructures to quantum chaotic excitons, where obtained results can be used. Comment: 8 pages, 4 figures, submitted to Phys. Rev. E |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.98.052127 |
| URL الوصول: | http://arxiv.org/abs/1810.08422 |
| رقم الأكسشن: | edsarx.1810.08422 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.98.052127 |
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