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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2350| Factorization of the Riesz-Feller Fractional Quantum Harmonic Oscillators | |
| Haret Codratian Rosu Stefan C. Mancas | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1088/1742-6596/1540/1/012005 | |
| Factorization Fractional Riesz-Feller Sub-Gaussian | |
| "Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romero and Rosas-Ortiz, extending their results. We solve the non-Hermitian fractional eigenvalue problem in the k space by introducing in that space a new class of Hermite 'polynomials' that we call Riesz-Feller Hermite 'polynomials'. Using the inverse Fourier transform in Mathematica, interesting analytic results for the same eigenvalue problem in the x space are also obtained. Additionally, a more general factorization with two different Lévy indices is briefly introduced." | |
| IOP Publishing | |
| 2020 | |
| Artículo | |
| H C Rosu and S C Mancas 2020 J. Phys.: Conf. Ser. 1540 012005 | |
| FÍSICA | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| Fichero | Tamaño | Formato | |
|---|---|---|---|
| JPhysConfSer1540(2020)012005.pdf | 1.24 MB | Adobe PDF | Visualizar/Abrir |