| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000454040 |
| ISSN: | 0035-001X |
| Authors: | Campos García, J.C1 Molinar Tabares, M.E2 Figueroa Navarro, C3 Castro Arce, L4 |
| Institutions: | 1Universidad de Sonora, Departamento de Ciencias de la Salud, Ciudad Obregón, Sonora. México 2Comisión Nacional del Agua, Hermosillo, Sonora. México 3Universidad de Sonora, Departamento de Ingeniería Industrial y Sistemas, Hermosillo, Sonora. México 4Universidad de Sonora, Departamento de Física, Matemática E Ingeniería, Navojoa, Sonora. México |
| Year: | 2020 |
| Season: | Nov-Dic |
| Volumen: | 66 |
| Number: | 6 |
| Pages: | 874-880 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, descriptivo |
| English abstract | The fractional calculus has a very large diversification as it relates to applications from physical interpretations to experimental facts to the modeling of new problems in the natural sciences. Within the framework of a recently published article, we obtained the fractional derivative of the variable concentration x(z), the effective mass of the electron dependent on the position m(z) and the potential energy V(z), produced by the confinement of the electron in a semiconductor of type AlxGa1-xAs, with which we can intuit a possible geometric and physical interpretation. As a consequence, it is proposed the existence of three physical and geometric conservative quantities approximate character, associated with each of these parameters of the semiconductor, which add to the many physical magnitudes that already exist in the literature within the context of fractional variation rates. Likewise, we find that the fractional derivatives of these magnitudes, apart from having a common critical point, manifest self-similar behavior, which could characterize them as a type of fractal associated with the type of semiconductor structures under study |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Educación, Derivada fraccionaria, Ecuaciones fraccionarias de continuidad, Semiconductores |
| Keyword: | Physics, Education, Fractional derivative, Fractional continuity equations, Semiconductors |
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