On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition |
| |
| Authors: | Ayman Kachmar |
| |
| Institution: | 1. Université Paris-Sud, département de mathématiques, bâtiment 425, 91405 Orsay, France;2. Université Libanaise, département de mathématiques, Hadeth, Beyrouth, Lebanon |
| |
| Abstract: | Motivated by the Ginzburg–Landau theory of superconductivity, we estimate the ground state energy of a magnetic Schrödinger operator with de Gennes boundary condition in the semi-classical limit and we study the localization of the corresponding ground states. We exhibit cases when the de Gennes boundary condition has a strong effect on this localization. To cite this article: A. Kachmar, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
