The curvature effect on a quantum dot with impurity is investigated. The model is considered on the Lobachevsky plane. The confinement and impurity potentials are chosen so that the model is explicitly solvable. The Green function as well as the Krein Q-function are computed.
@article{arxiv.0709.2790,
title = {A Quantum Dot with Impurity in the Lobachevsky Plane},
author = {V. Geyler and P. Stovicek and M. Tusek},
journal= {arXiv preprint arXiv:0709.2790},
year = {2011}
}