Global controllability of 1D Schroedinger-Poisson equation
This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t = -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which incl...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/10689 |
| Acesso em linha: | http://hdl.handle.net/11336/10689 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonlinear Schroedinger-Poisson Hartree potential doping profile internal controllability https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t = -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space. |
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