Name
Title | ||
|---|---|---|
The Strongly Confined Schrödinger--Poisson System for the Transport of Electrons in a Nanowire |
Abstract | ||
|---|---|---|
We study the limit of the three-dimensional Schrodinger-Poisson system with a singular perturbation, to model a quantum electron gas that is strongly confined near an axis. For well-prepared data, which are polarized on the ground space of the transversal Hamiltonian, the resulting model is the cubic defocusing nonlinear Schrodinger equation. Our main tool is a refined analysis of the Poisson kernel when acting on strongly confined densities. In that direction, an appropriate scaling of the initial data is required, to avoid divergent integrals when the gas concentrates on the axis. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080715950 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
Schrodinger-Poisson system,asymptotic analysis,singular perturbation,quantum transport,nanowire,nanoelectronics | Journal | 69 |
Issue | ISSN | Citations |
4 | 0036-1399 | 4 |
PageRank | References | Authors |
0.94 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Naoufel Ben Abdallah | 1 | 39 | 8.18 |
| Francois Castella | 2 | 4 | 0.94 |
| Fanny Delebecque-fendt | 3 | 4 | 0.94 |
| Florian Méhats | 4 | 80 | 14.01 |