Geodesic
Asymptotics of eigenelements of boundary value problems for the Schrödinger operator with a large potential localized on a small set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 667-682 
A. R. Bikmetov. Asymptotics of eigenelements of boundary value problems for the Schrödinger operator with a large potential localized on a small set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 667-682. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotics of eigenelements of a singularly perturbed boundary value problem for the three-dimensional Schrödinger operator is constructed in a bounded domain with the Dirichlet and Neumann boundary condition. The perturbation is described by a large potential whose support contracts into a point. In the case of the Dirichlet boundary conditions, this problem corresponds to a potential well with infinitely high walls and a narrow finite peak at the bottom.

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