| Texto completo | |
| Autor(es): |
Gabrick, Enrique C.
;
Lenzi, Ervin K.
;
de Castro, Antonio S. M.
;
Trobia, Jose
;
Batista, Antonio M.
Número total de Autores: 5
|
| Tipo de documento: | Artigo Científico |
| Fonte: | FRACTAL AND FRACTIONAL; v. 9, n. 7, p. 14-pg., 2025-07-04. |
| Resumo | |
We investigate a generalized quantum Schr & ouml;dinger equation in a comb-like structure that imposes geometric constraints on spatial variables. The model is extended by the introduction of nonlocal and fractional potentials to capture memory effects in both space and time. We consider four distinct scenarios: (i) a time-dependent nonlocal potential, (ii) a spatially nonlocal potential, (iii) a combined space-time nonlocal interaction with memory kernels, and (iv) a fractional spatial derivative, which is related to distributions asymptotically governed by power laws and to a position-dependent effective mass. For each scenario, we propose solutions based on the Green's function for arbitrary initial conditions and analyze the resulting quantum dynamics. Our results reveal distinct spreading regimes, depending on the type of non-locality and the fractional operator applied to the spatial variable. These findings contribute to the broader generalization of comb models and open new questions for exploring quantum dynamics in backbone-like structures. (AU) | |
| Processo FAPESP: | 24/05700-5 - Dinâmica não linear |
| Beneficiário: | Iberê Luiz Caldas |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 25/02318-5 - Dinâmica de um modelo vetor-hospedeiro com acoplamento não local |
| Beneficiário: | Enrique Chipicoski Gabrick |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |