Magnetic bottles for the Neumann problem: The case of dimension 3
- Cite this article as:
- Helffer, B. & Morame, A. Proc. Indian Acad. Sci. (Math. Sci.) (2002) 112: 71. doi:10.1007/BF02829641
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The main object of this paper is to analyze the recent results obtained on the Neumann realization of the Schrödinger operator in the case of dimension 3 by Lu and Pan. After presenting a short treatment of their spectral analysis of keymodels, we show briefly how to implement the techniques of Helffer-Morame in order to give some localization of the ground state. This leaves open the question of the localization by curvature effect which was solved in the case of dimension 2 in our previous work and will be analysed in the case of dimension 3 in a future paper.